I need help. Find the value of each variable.
Answer:
x = 14√3
y = 7√3
Step-by-step explanation:
By applying sine rule in the given triangle,
sin(60°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{\sqrt{3} }{2}=\frac{21}{x}[/tex]
x = [tex]\frac{42}{\sqrt{3}}[/tex]
x = 14√3
By applying cosine rule in the given triangle,
cos(30°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{1}{2}=\frac{y}{x}[/tex]
[tex]\frac{1}{2}=\frac{y}{14\sqrt{3}}[/tex]
y = 7√3
a small dog’s heart beats about 530,000,000 times during its lifetime, and a large dog’s heart beats about 1.4 times this amount. What is the approximate number of heartbeats in the lifetime of a large dog?
Answer:
I think the answer is 742,000,000
Step-by-step explanation:
The approximate number of heartbeats in the lifetime of a large dog is 742,000,000 times.
What is unitary method?Unitary method is a process by which we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
According to the question
A small dog’s heart beats about during its lifetime = 530,000,000 times
A large dog’s heart beats about 1.4 times this amount.
i.e A large dog’s heart beats about during its lifetime = 530,000,000 *1.4 times
= 742,000,000 times
Hence, the approximate number of heartbeats in the lifetime of a large dog is 742,000,000 times.
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can someone please answer this
Answer:
its c
Step-by-step explanation:
Which of the following is closest to the distance that the tip of the hand travels as it moves from
the 12 to the 3?
Answer:H
Step-by-step explanation:
The distance that the tip of the hand travels as it moves from the 12 to the 3 will be 15.7143 cm.
What is an arc?An arc is a smooth curve that joins two endpoints. The arc is mostly referred to as a part of the circle.
As it is given that the length of the hand of the clock is 10 cm, and the movement of the hand of the clock is from 12 to 3 therefore, the movement is about 90°.
Now, if we see the movement of the hand of the clock it will be along the arc of the circle, therefore, the length of the arc with a radius of 10 cm and angle of 90° can be written as,
[tex]\text{Length of the arc} = 2\pi r \times \dfrac{\theta}{360^o}[/tex]
[tex]= 2 \times \pi \times 10 \times\dfrac{90}{360}\\\\= 2 \times \pi \times 10 \times\dfrac{1}{4}\\\\= 15.7143\rm\ cm[/tex]
Hence, the distance that the tip of the hand travels as it moves from the 12 to the 3 will be 15.7143 cm.
Learn more about Arc:
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Mrs. Smith's Algebra class has 29 students. There are 3 more girls than boys.
How many girls are there?
boys:
girls:
Hey there!
The answer is 13 boys and 16 girls.
We can do this by making an equation, using "x" to represent boys. Knowing there are 3 more boys than girls, we can set up the following equation:
(x + 3) + x = 29
NOTE: "x + 3" represents the number of girls, since there are 3 more girls than boys. "x" represents the number of boys. Now we can solve the equation:
x + 3 + x = 29
Add like terms:
2x + 3 = 29
Subtract 3 from both sides:
2x = 26
Divide both sides by 2:
x = 13
Therfore, there are 13 boys. To figure out girls, we simply add 3, giving us 16.
Have a terrificly amazing day! :D
DeShawn has 3.5 bottles of water. Each full bottle holds 8.25 fluid ounces. DeShawn wants to know how many fluid ounces of water he has in all. NEED HELP
Answer: 27.625 fl oz
Step-by-step explanation:
8.25*3.5= 27.625 fl oz
new unit i’m confused
Answer:
part a is infinite Part b is number 3
Step-by-step explanation:
In the following diagram, m AC= 97° and m CD= 112°. Find the measure of angle x.
Answer:
x = 27
Step-by-step explanation:
Hello There!
The first thing we want to do is find the measure of arc AD
remember the circumference of a circle in degrees is 360
so to find the measure of arc AD we subtract the given arc measures (97 and 112) from 360
360 - 112 - 97 = 151
so arc AD = 151
now to find x
if you didnt know an included angle formed by tangent lines is equal to one half of its major arc minus its minor arc
For this problem to be more specific ∠B = 1 half of (arc AD - arc AC)
Now what we want to do is plug in the known information and solve for angle B
∠B = 1/2 ( 151 - 97 )
151 - 97 =54
54/2=27
so we can conclude that x = 27
Pythagorean therom HELPOP
Answer:
its 12
Step-by-step explanation:
What equation could you solve to find the value of x in this diagram?
Answer:
75+3x=180
Step-by-step explanation:
Answer:
75 + 3x = 180
Step-by-step explanation:
The sum of the measures of the angles of a triangle is 180°.
45 + 30 + 3x = 180
75 + 3x = 180
please help me solve all of these if right ill give you brainly
6x + 10 = 1x
2a 5 = 3a
7a 5 = 2a
4a + 7 = 10 + a
8x + 3 = 2x
6x 3 = 18 + x
Answer:
1. =−2
2.
3.
4. a=1
5. x=-1/2
6. x=4.2
Step-by-step explanation:
Answer all questions correctly for brainliest thanks :)
1. What objects in space, other than stars, make up the universe?
2. What kinds of energy, other than light, do these objects give off?
3. How do scientists answer these and other questions about objects that are so far away?
4. What is a light-year ?
5. What is an electromagnetic spectrum and how does it work ?
6. What is an H-R diagram used to measure ?
7. Do you notice any patterns in the H-R diagram ?
8. How would you describe the Sun's temperature , brightness , and color compared to other stars?
9. What colors are the hottest stars ?
10. Which are brighter : giants , supergiants , or white dwarfs ?
Answer:
1. Planets
2.mechanical
3.Tests
4.9.4605284e15 meters
Answer:
1: Moons, planets, nebulae, and star clusters
2: heat and kinetic
3: They look for the mass in the universe and try to discover what created it.
4: The distance that light travels in a year
5: It is the range of all EM Radiation and it measure the waves of energy
6: It is a tool that astronomers use to classify stars
7: There is usually a bunch of stars in one place which creates a star cluster.
8: The Sun is a small star compared to all of the other massive stars
9: Blue-White
10: Super-giants
Step-by-step explanation:
!!!Please help will give the brainliest, and please do not put in a silly answer because you want some points or I will report you!!! What are the properties of a kite, trapezoid, square, rectangle, parallelogram, rhombus?
Answer:
The rhombus because is the same shape
Answer:
Well, seems this'll be a long answer... *ahem*
So, the properties of a Kite are that they have
-Two pairs of consecutive sides
-No opposite sides
-Perpendicular diagonals
-One set of equal angles
The properties of a Trapezoid are that
-It has exactly 1 pair of opposite sides parallel
-It has congruent lower base angles
-Congruent upper base angles (both of these apply only if isosceles)
-Any lower base angle is supplementary to any upper base angle (applies to all)
The properties of a Square are that it has:
-Parallel opposite sides
-Congruent opposite sides
-Congruent opposite angles
-Bisecting diagonals
-Congruent diagonals
-Perpendicular diagonals
-All sides are congruent
-Consecutive angles are supplementary
-Contains four right angles
The properties of a Parallelogram are
-Parallel opposite sides
-Congruent opposite sides
-Congruent opposite angles
-Bisecting diagonals
-Consecutive angles are supplementary
The properties of a Rectangle are
-Consecutive angles are supplementary
-Contains four right angles
-Has all the properties of a parallelogram
The properties of a Rhombus are
-Has all the properties of a parallelogram
-Four sides are equal in length
-Diagonals are perpendicular
-Diagonals bisect each pair of opposite angles
Step-by-step explanation:
Hope you have a wonderful day, and also that this helped! (Even though I know it's quite long) :D
3.33 pounds of turkey costs $10.50. What is the price per pound of
turkey? Round to the nearest hundredth. *
Answer:3.5
Step-by-step explanation: quick maths
Calculate the volume of this cylinder, giving your answer to 1 decimal place.
9 cm
20 cm
Answer: 0.45
Step-by-step explanation:
CAN SOMEONE PLEASE HELP ME WITH THIS??
Answer:
12
Step-by-step explanation:
6x12=72
3x12=36
36+36=72
Answer: 23.
Step-by-step explanation:
if p varies directly as the square of q, and p = 20 when q = 5, find p when q = 8
Answer:
P=32
Step-by-step explanation:
Joe's age exceeds by Vika's age by 16 years. Four years ago, Joe was twice as old as Vika. Find the present age for each.
Answer:
Joe's present age = 36 years
Vika's present age = 20 years
Step-by-step explanation:
Let us represent the present age of
Joe = x
Vika = y
Joe's age exceeds by Vika's age by 16 years.
x = y + 16...... Equation 1
Four years ago, Joe was twice as old as Vika.
x - 4 = 2(y - 4)
x - 4 = 2y - 8........ Equation 2
We substitute y + 16 for x
y + 16 - 4 = 2y - 8
Collect like terms
16 - 4 + 8 = 2y - y
y = 20 years
We solve for x
x = y + 16...... Equation 1
x = 20 + 16
x = 36 years
Therefore, Joe's present age = 36 years
Vika's present age = 20 years
Need help with the answer please and thank you
??I need help solving this.
Answer:
H=14.25 yd
Step-by-step explanation:
A national park is a rectangle that is 33 miles wide and 56 miles long, How long is a
diagonal road through the park?
Answer:
this would be a right triangle with the legs being 8 miles and 6 miles. using the Pythagorean theorem, the hypotenuse would be 10 miles long. therefore, he would be walking a total of four miles less if he walked diagonally.
Step-by-step explanation:
Answer:23
Step-by-step explanation:
Sergei's car was clocked in a quarter mile race at 146.67 miles per hour.
How many feet per second is this to the nearest hundredth if there are 5280 feet in one mile?
A. 29.33 feet per second
B. 35.99 feet per second
C. 215.12 feet per second
D. 733.35 feet per second
E. 860.48 feet per second
Answer:
C. 215.12 feet per second
Step-by-step explanation:
Sergei's car was clocked in a quarter mile race at 146.67 miles per hour.
How many feet per second is this to the nearest hundredth if there are 5280 feet in one mile?
From the above question
1 mile = 5280 feet
1 hour = 60 minutes
1 minutes = 60 seconds
1 hour = 60 × 60 seconds = 3600 seconds
We are to convert 146.67 miles per hour = feet per second
Hence:
146.67 miles /1 ft × 5280 feet/1 miles × 1 hr/3600 seconds
= 146.67 × 5280 feet/3600 seconds
= 774417.6 feet / 3600 seconds
= 215.116 feet per second.
Approximately = 215.12 feet per second
Option C is correct
Nicholas Has a very large soup pot shaped like a cylinder that has a height of 20 inches and a radius of 6 inches. How much soup can Nicholas’s soup pot hold ?
Answer:
2262 in³
Step-by-step explanation:
Given that:
Height, h = 20 inches
Radius, r = 6 inches
Volume of a cylinder is given as :
V = πr²h
V = π * 6² * 20
V = π * 36 * 20
V = 2261.9467 in³
Hence, Nicholas pot can hold about 2262 in³ of soup
Tyesha found that the z-statistic was 2.1 and that the critical z-values were -1.96 and 1.96. Which of the following is a valid conclusion based on these results?
One can reject the null hypothesis.
One can reject the alternate hypothesis.
One can accept the null hypothesis.
One cannot accept or reject the null hypothesis.
Answer:
Step-by-step explanation:
If the z statistic does not lie within the critical region, you cannot reject the null hypothesis but neither can you necessarily accept it.
What you can do is reject the alternate hypothesis.
The valid conclusion based on the given results is; One can reject the alternate hypothesis.
What is the Conclusion of the Hypothesis?We are told that;
z-statistic = 2.1
Now, the critical z-values were -1.96 and 1.96
Since our z-statistic does not lie within the critical values region, it means that there is not enough evidence to reject the null hypothesis at the given significance level. However, it means that we can reject the alternate hypothesis.
Read more on hypothesis conclusion at; https://brainly.com/question/15980493
please i rlly need help quick
Answer:
Step-by-step explanation:
100 G
1 L
4 Kg
40 ML
Answer:
100 ml's of butter 1 g of milk 4 l of potatoes and 40 kg's of sour cream
Step-by-step explanation:
pls mark me brainlyest!
A software company has found that on Mondays, the polynomial function C(t) = −0.0625t4 + t3 − 6t2 + 16t approximates the number of callers to its hotline at any one time. Here, t represents the time, in hours, since the hotline opened at 8:00 A.M. How many service technicians should be on duty on Mondays at noon if the company doesn't want any callers to the hotline waiting to be helped by a technician?
Answer:
At least 16 service technicians
Step-by-step explanation:
Given
[tex]C(t) = -0.0625t^4 + t^3 - 6t^2 + 16t[/tex]
Required
Number of service technician to be online at 12 noon
First, we calculate the value of t
[tex]t = 12\ Noon - 8:00AM[/tex]
[tex]t = 4[/tex]
Substitute [tex]t = 4[/tex] in [tex]C(t) = -0.0625t^4 + t^3 - 6t^2 + 16t[/tex]
[tex]C(4) = -0.0625 * 4^4 + 4^3 - 6 * 4^2 + 16 * 4[/tex]
[tex]C(4) = 16[/tex]
This implies that there are 16 customers online at 12 noon.
If 16 customers are online, then there should be at least 16 service technicians online.
find all numbers whose absolute value is 3
Answer:
3, -3
Step-by-step explanation:
3 has an absolute value of 3 because it is 3 units away from zero.
-3 has an absolute value of 3 because it is 3 units away from zero.
I hope this helps!!
find the equation that represents the proportional relationship between in this graph
Answer:
y=6/7x
Step-by-step explanation:
You need to find the slope. The rise is 18 and the run is 21. 18/21 simplifies to 6/7
Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!
Answer:
15
Step-by-step explanation:
As we can see, we have the total ratio as;
5 + 2 + 1 = 8
Total of NQ is 24
The ratio accorded to NO is 5
so we have the length of NO as;
5/8 * 24 = 15
Anyone help please god lord please
here are the answers:
#1
#2=11
#3=-2
#4=70