Answer:
90°; 55°; 35°; 110°; 70°
Step-by-step explanation:
A rectangle has corner angles that are 90°. When the corner angle is divided into two parts, the total of the parts is 90°.
Each of the triangles is isosceles. The figure is symmetrical about its center.
An exterior angle to a triangle is equal to the sum of the remote interior angles.
__
∠SRT = 90° . . . . a corner angle
∠STR = 55° . . . . symmetrical to the given angle
∠QRS = 180° -55° -90° = 35° . . . . sum of angles in ΔQRS is 180°
∠QPT = 2×55° = 110° . . . . exterior angle to ΔQPS; ∠QSP =∠SQP
∠TPR = 180° -110° = 70° . . . . forms a linear pair with ∠QPT
_____
There are numerous ways to figure any or all of these angles. They come down to the fundamentals: angles in a triangle total 180°; angles that form a line total 180°; corner angles of a rectangle are 90°. Base angles of an isosceles triangle are congruent.
The exterior angle rule derives from the sum of angles in a triangle and on a line both being 180°.
Write the equation of the line that passes through the points (7,-6) and (-6,2).
Answer:
Here is the ans...hope it helps
Please help me! Im so confused. If you could explain, too that would be great!!! <3
Answer:
the base length is 8 units
Step-by-step explanation:
You can use pythagorean theorem to solve this
hey so I'm a 15 year old in Geometry HN and I have my SOL tomorrow, (baisaclly state testing) I've been stuffy for weeks now yet my brain just can't comprehend ANYTHING! and I'm honestly so frustrated. Could anyone help me with these questions? about circles? I would appreciate if someone gave me a step-by-step process if it isn't to much to ask
Directions: Find X. O represents the center of the circle
Answer:
2: 86
3:64
4: 77
6: 3
7:12
8: O=110 X:110
Step-by-step explanation:
Number 2 shows what is called a central angle. Central Angles are equivalent to the ark length
Number 3 shows an Inscribed angle. These angles are half of the ark but in your question, it is twice the angle measurement
Number 4 you want to divide the ark length by two when the angle is not given. And when the angle is given you want to mutilate by two
Number 6 is Overlapping Ark which means they are both congruent to each other because the ark is equivalent to each other.
Number 7 is x=12 because 5x+12 is twice the measure of 3x
Number 8 o=110 because a circle has 360 degrees so you want to add them up and then subtract that from 360. x is also 110 degrees because it is a central angle, which is the same amount of degrees as the ark length.
Find the height of a cylinder with a volumeof 475pie cubic meteresand radius 5 meters
The height of the cylinder is 19 meters if the volume of 475pie cubic meters and the radius is 5 meters.
What is a cylinder?In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.
We know the volume of the cylinder is given by:
[tex]\rm V = \pi r^2 h[/tex]
We have a volume of the cylinder:
V = 475π cubic meter
The radius r = 5 meters
475π = π(5)²h
h = 19 meters
Thus, the height of the cylinder is 19 meters if the volume of 475pie cubic meters and the radius is 5 meters.
Learn more about the cylinder here:
brainly.com/question/3216899
#SPJ1
Of 400 randomly selected people in the city of lyon, france, 60 people had the first name hugo.
which of these does not represent inferential statistics?
a. 15% of the people who live in france have the first name hugo.
b. 15% of the people who live in europe have the first name hugo.
c. 15% of the people surveyed have the first name hugo.
d. 15% of the people who live in lyon have the first name hugo.
The statement in this problem that does not represent a inferential statistic is given by:
c. 15% of the people surveyed have the first name hugo.
What is an inferential statistic?An inferential statistic is one that makes inference or predictions about a population based on a sample.
In this problem, an inferential statistic is the sample proportion of 15% for the population of Lyon, France or Europe(as Lyon is in France and France in Europe).
In option C, the inference is for the sample and not for any population, hence it is not an inferential statistic.
More can be learned about inferential statistics at https://brainly.com/question/13852073
#SPJ1
Write a 2nd degree equation whose solutions are 5+✓(11) and 5-✓(11)
Answer:
For each object, choose an appropriate scale for a drawing that fits on a regular sheet of paper. Not all of the scales on the list will be used.
Step-by-step explanation:
Which graph represents f of x equals square root of the quantity x plus 3 end quantity minus 2?
The graph shows a curve with an end point at 2 comma 3 that increasing to the right
The graph shows a curve with an end point at 3 comma 2 that increasing to the right
The graph shows a curve with an end point at negative 3 comma negative 2 that increasing to the right
The graph shows a curve with an end point at negative 2 comma negative 3 that increasing to the right
The obtained graph is having is passes though the point (0,3.74 )on y-axis and (123,0) on the x-axis. None of the option is correct.
What exactly is a function?A function is a statement, rule, or law that specifies the connection between two variables. Functions are common in mathematics and are required for the formulation of physical connections.
The given equation of the function is;
[tex]y = -(x+2)^{1/3}+5[/tex]
Hence,the obtained graph is having is passes though the point (0,3.74 )on y-axis and (123,0) on the x-axis.
To learn more about the function refer:
https://brainly.com/question/5245372
#SPJ1
Answer:
The function f(x) = sqrt(x - 2) + 3 represents a square root function that is shifted 2 units to the right and 3 units up from the parent function f(x) = sqrt(x).
The endpoint of the function occurs when the radicand (x - 2) is equal to zero, which means x = 2. So, the function has an endpoint at (2, 3).
Since the function involves a square root, the value of y cannot be negative. Therefore, the function is increasing to the right.
The correct graph that represents the function f(x) = sqrt(x - 2) + 3 is the one that shows a curve with an endpoint at (2, 3) that increases to the right.
Therefore, the answer is: The graph shows a curve with an endpoint at 2 comma 3 that increases to the right. A.
Simone travels 90 miles at an average speed of 40 mph.
She then travels a further 30 miles.
The average speed for the entire journey is 43 mph.
Assuming Simone didn't stop, what was her average speed for the final 30 miles to 2 dp?
Using the relation between velocity, distance and time, it is found that her average speed for the final 30 miles is of 55.56 mph.
What is the relation between velocity, distance and time?Velocity is distance divided by time, that is:
[tex]v = \frac{d}{t}[/tex]
Simone travels 90 miles at an average speed of 40 mph, hence the time is given by:
[tex]t_1 = \frac{90}{40} = 2.25[/tex]
She then travels a further 30 miles, with an average speed for the journey of 43 mph. Hence, she traveled 90 + 30 = 120 miles, and the total time is given by:
[tex]t = \frac{120}{43} = 2.79[/tex]
Hence, in the second part, she traveled 30 miles in 2.79 - 2.25 = 0.54 hours, so the velocity is given by:
[tex]v = \frac{d}{t} = \frac{30}{0.54} = 55.56[/tex]
Her average speed for the final 30 miles is of 55.56 mph.
More can be learned about the relation between velocity, distance and time at https://brainly.com/question/24316569
#SPJ1
Help Find the unit rate.
4,928 rooms on 112 floors =
rooms per floor
4928 rooms / 112 floors
2464 rooms / 56 floors
---Really, all we are doing here is simplifying a fraction until we have a 1 in the denominator
44 rooms / 1 floor
Hope this helps!
What is the approximate circumference of the circle that has a center (3, 1) and passes through the point (3, 4)?
Step-by-step explanation:
You use the Distance Formula
d= √( x2 - x1 )^2 + ( y2 - y1 )^2
substitute
r= √(3-3)^2 + (4-1)^2
√0^2 + 3^2
r = √9
r = 3
Now you can use the equation for finding the circumference
2πr
2π3
≈ 6π or 18.85
Greta is painting two different rectangular prisms. The prisms have the following dimensions.
Prism A:
Length: 1 foot
Width: 4 inches
Height: 8 inches
Prism B:
Length: 10 inches
Width: 2 inches
Height: 1.5 feet
Which prism has a greater surface area, and what is its surface area in square inches?
Answer:
prism B is greater
Step-by-step explanation:
prism A
lenght: 1×4=4
width: 4×8=32
height: 8×1=8
add them all up and multiply it by 2 = 4+32+8×2=52
prism B
lenght: 10×2=20
width: 2×1.5=3
height:1.5×10=15
add them all up and multiply it by 2= 20+3+15×2=76
2. A sphere has a great circle whose circumference is 95 centimeters. Which of the following is closest to the
volume of the sphere, in cubic centimeters?
1) 4,600
(3) 12,700
2) 7,500
(4) 14,500
Answer:
Approximately [tex]14,\!500\; {\rm cm^{3}}[/tex].
Step-by-step explanation:
The radius of a sphere is the same as the radius of the great circle of that sphere.
Thus, in this question, it would be possible to find the radius of the sphere by finding the radius of the great circle.
The circumference of a circle of radius [tex]r[/tex] is [tex]2\, \pi \, r[/tex]. In this question, it is given that the circumference of this great circle is [tex]95\; {\rm cm}[/tex]. Thus, the radius of this great circle would be:
[tex]\begin{aligned}r &= \frac{95\; {\rm cm}}{2\, \pi} \approx 15.1197\; {\rm cm}\end{aligned}[/tex].
Thus, radius of the sphere in this question would also be approximately [tex]15.1197\; {\rm cm}[/tex].
The volume of a sphere of radius [tex]r[/tex] is [tex](4/3)\, \pi\, r^{3}[/tex]. Thus, the volume of this sphere of radius [tex]r = 15.1197\; {\rm cm}[/tex] would be approximately:
[tex]\begin{aligned}\frac{4}{3} \, \pi\times (15.1197\; {\rm cm})^{3} \approx 14,\!500 \; {\rm cm^{3}}\end{aligned}[/tex]
Please answer quickly
[tex]\dfrac{4+3\sqrt 5}{4-3\sqrt 5}\\\\\\=\dfrac{\left(4+3\sqrt 5 \right)\left(4+3\sqrt 5 \right)}{\left(4-3\sqrt 5 \right)\left(4+3\sqrt 5 \right)} \\\\\\=\dfrac{\left(4+3\sqrt 5 \right)^2}{4^2 - \left( 3 \sqrt 5 \right)^2}\\\\\\=\dfrac{4^2 + 2\cdot 4 \cdot 3\sqrt 5 + \left( 3\sqrt 5 \right)^2}{16-9\cdot 5}\\\\\\=\dfrac{16+24\sqrt 5 + 45}{16-45}\\\\\\=\dfrac{61+24\sqrt5}{-29}\\\\\\=-\dfrac{61}{29}-\dfrac{24}{29}\sqrt 5\\\\\\=-\left(\dfrac{61}{29}\right) + \left(- \dfrac{24}{29} \right) \sqrt 5[/tex]
[tex]\text{It is now in a form of}~ a+b\sqrt 5~, \text{where}\\ \\a=-\dfrac{61}{29}~~ \text{and}~~ b =- \dfrac{24}{29}[/tex]
If ' x - 1/x = 4, then x² + 1/x² =
Answer:
82/9
Step-by-step explanation:
x - 1/x = 4
x - 1 = 4x
-1 = 3x
- 1/3 = x
from there just substitute in x for x² + 1/x² to get:
82/9 or 9.1 recurring
please help w this question!!!
Answer:
72
Step-by-step explanation:
The two right triangles are congruent by the HA congruence theorem, so corresponding sides have the same length.
QR = QT
3p = p +48 . . . . . . substitute the given measure expressions
2p = 48 . . . . . . . subtract p
p = 24 . . . . . . . divide by 2
QT = p +48 = 24 +48 . . . . . use the value of p in the expression for QT
QT = 72
use technology to find the solution to the system: 8x - 4y = -24 4x - 12y = -32
The solution to the system of equation 8x -4y = -24, 4x - 12y = -32 is x = 19 / 8 and y = 5 / 4
How to find solution to the system of equation?The solution of the system of equation can be found as follows:
8x -4y = -24
4x - 12y = -32
Multiply equation(ii) by 2
8x - 4y = -24
8x - 36y = -64
32y = 40
y = 40 / 32 = 5 / 4
8x - 4(5 / 4) = -24
8x - 5 = -24
8x = -24 + 5
8x = 19
x = 19 / 8
learn more on equation here: https://brainly.com/question/14463797
#SPJ1
The surface areas of two similar solids are 169 m2 and 81 m2. the volume of the larger solid is 124.92 m3. which proportion correctly shows how to solve for the volume of the smaller solid, x? = = = =
By finding the scale factor, we will see that the volume of the smaller solid is 86.75 m³.
How to get the volume of the smaller solid?If the solids are similar, then there is a scale factor between the two. Then the relation between the areas is equal to the scale factor squared, and the relation between the volumes is equal to the scale factor cubed.
This means that if the areas are 169 m² and 81 m², then we can write:
169 m² = (k²)*81 m²
Solving for k, we get:
k = √(169 m²/81 m²) = 1.44
Then if the volume of the large solid is 124.92m³ we can write:
124.92m³ = k³*V
Replacing k and solving for V we get:
124.92m³ = (1.44)³*V
(124.92m³/ (1.44)³) = V = 86.75 m³
If you want to learn more about scale factors:
https://brainly.com/question/3457976
#SPJ4
Answer: Its C
Step-by-step explanation: Just did it
Can anyone help me with this area of sector activity? I'm not sure how to solve this. I will reward brainliest! Please tell me how you got your answer as well! this is 10th grade geometry
Answer:
Jenny has worked out the area of the whole circle using the formula π × r² where r is the radius length. She has assumed π is 3.14 which leads to her working of 3.14 × 10² = 314 units². She has to divide the total area by 4 to calculate the sector area.
Let's check
Angle is 90°Radius is 10Area of sector
Ø/360×πr²90/360×pi(10)²1/4×π(100)25π78.5units²Giving brainiest ~ please helpp ^^
hope this helps :)
...........
Answer:
The volume of this composite figure is 312 cubic inches.
Step-by-step explanation:
Volume of pyramid:
[tex] \frac{1}{3} ( {6}^{2} )(5) = \frac{1}{3} (36)(5) = \frac{1}{3} (180) = 60[/tex]
Volume of rectangular prism:
[tex]12(3)(7) = 252[/tex]
Volume of composite figure:
[tex]60 + 252 = 312[/tex]
Sean has 3 times as many vegetable plants as Liz and Sejuan combined. Liz has 3 vegetable plants, and Sejuan has 2 vegetable plants. How many vegetable plants does Sean have?
Which statements about this word problem are true? Check all that apply.
A: This is an example of a part-whole problem.
B: This is an example of a comparison problem.
C: Addition then multiplication can be used to solve the problem.
D: Subtraction then division can be used to solve the problem.
E: Division then multiplication can be used to solve the problem.
Answer:
C: Addition then multiplication can be used to solve the problem
Step-by-step explanation:
A mean weight of 2.2 pounds is computed for a random sample of 50 catfish from a lake.
What can you infer from this random sample?
A)You infer that the mean weight of all catfish is close to 2.2 pounds.
B)You infer that the mean weight of all catfish is exactly to 2.2 pounds.
C)You infer that the mean weight of catfish in the lake is close to 2.2 pounds.
D)You infer that the mean weight of catfish in the lake is exactly to 2.2 pounds.
Answer:
C)
Step-by-step explanation:
It can't be A or B because the samples from 50 fish definitely wouldn't be equal to ALL the fish ever.
And it (more so) can't be D because you are finding the mean. that means that some catfish could weight 1 pound, and another could weigh 4, they would just cancel out.
That leaves C) with the only plausible answer.
Write a probability model for this experiment , and use the probability model to predict how many times Stacey would spin a 6 if she spun 50 times. Give the probabilities as decimals, rounded to 2 decimal places
The value of n is 50 and probability is 1/6, and 8.33 number of times Stacey would spin a 6.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
Consider getting a 6 as a success. In this example, the chance of getting a 6 in a single spin is 1/6. The number of 6s in 50 spins can be considered a binomial random variable. Then, if X is the number of trials, we receive a score of 6 out of 50. Then there's the model below.
[tex]\rm P(X = k) = \binom{50}{K}\binom{1}{6}^k\binom{5}{6}^{50-k}[/tex]
From the binomial random variable of n trials with a probability of success of p.
We will have, n = 50, p = 1/6
Number of times Stacey would spin a 6 = 8.33
Thus, the value of n is 50 and probability is 1/6, and 8.33 number of times Stacey would spin a 6.
Learn more about the probability here:
brainly.com/question/11234923
#SPJ1
Illustrate on a number line the solution set of each pair of simultaneous inequalities. x>-2;-4 <x <2
The intersection region will be between -2 <x <2 or x ∈ (-2, 2) if the two inequalities are x>-2 and -4 <x <2
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.
We have two inequalities:
x>-2 and
-4 <x <2
or
x ∈ ( -2, ∞) and x ∈ (-4, 2)
The intersection region will be(from the graph)
x ∈ (-2, 2)
Thus, the intersection region will be between -2 <x <2 or x ∈ (-2, 2) if the two inequalities are x>-2 and -4 <x <2
Learn more about the inequality here:
brainly.com/question/19491153
#SPJ1
PLEASE< PLEASE
ASAP!!!
WILL GIVE BRAINLIEST!!!
THANKS SO MUCH!!!
Please help........
Answer:
dude do this by your self this is to easy
How do I answer this?
Answer:
I dontknow what ur question is but I think u just have to measure the length of 50 ° on ur protector use a compass
Carl is covering the rectangular prism-shaped
box with cloth.
5 in.
2 in.
-
12 in.
what is the minimum amount of cloth carl
needs to cover the entire box?
The minimum amount of cloth carl needs to cover the entire box will be 188 square inches.
What is a surface area?The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any object is called the surface area.
Given that:-
The length width and the height of the prism are 5 , 2 , and 12 inches respectively.The minimum amount of cloth carl needs to cover the entire box will be the surface area of the prism
Surface area = 2 [ (5 x 2)+ (12 x 5) + (12 x 2)]
Surface area= 188 square inches
Therefore the minimum amount of cloth carl needs to cover the entire box will be 188 square inches.
To know more about a surface area follow
https://brainly.com/question/25292087
#SPJ1
Without considering other forces such as friction what is the net force in this problem?
Answer:
25 N to the left
Step-by-step explanation:
The net force is equal to the differences in magnitudes of the forces acting on it.
Take the left direction to be positive (+) and right direction to be negative (-).
Solving :
Net Force = Force (left) - Force (right)
Net Force = 10 + 20 - 5
Net Force = 30 - 5
Net Force = 25 N to the left
F_net
F1+F2+F310+20-530-525NWrite the word sentence as an equation. Then solve.
The product of 15 and a number x is −75
Why is apr an important tool for consumers
Answer:
APR, or annual percentage rate, is your interest rate stated as a yearly rate. An APR for a loan can include fees you may be charged, like origination fees. APR is important because it can give you a good idea of how much you'll pay to take out a loan.
Help on this math a s a p if possible
Answer:
Mean - 17.222222222222
Median - 17
Mode - 12
Step-by-step explanation:
lets arrange this is least to greatest.
2, 4, 12, 12, 17, 18, 28, 29, 33
to find the mean(even though you dont need it), you add all the numbers up and devide by the amount of numbers.
so -> 2 + 4 + 12 + 12 + 17 + 18 + 28 + 29 + 33 = 155
and there are 9 numbers, so 155 / 9 = 17.2 and a lot more 2s
to find the median, you arrange from least to greatest vice versa, then find the middle number.
2, 4, 12, 12, 17, 18, 28, 29, 33
the middle number is 17, so the mean is 17
to find the mode, you have to find the number that is most repeated.
2, 4, 12, 12, 17, 18, 28, 29, 33
the number that is repeated the most is 12, so your mode is 12.
Hope this helped!!!