Given:
The base of an isosceles triangle is 16 cm long.
The equal sides are each 22 cm long.
To find:
The height of the triangle.
Solution:
We know that the altitude of an isosceles triangle divides the base into two equal parts as shown in the below figure.
According to the Pythagoras theorem:
[tex]Hypotenuse^2=Perpendicular^2+Base^2[/tex]
Using Pythagoras theorem, we get
[tex]22^2=h^2+8^2[/tex]
[tex]484=h^2+64[/tex]
[tex]484-64=h^2[/tex]
[tex]420=h^2[/tex]
Taking square root on both sides, we get
[tex]\sqrt{420}=h[/tex] (Because side cannot be negative)
[tex]2\sqrt{105}=h[/tex]
Therefore, the height of the isosceles triangle is [tex]2\sqrt{105}[/tex] cm. Approximate height is 20.49 cm.
Name each polynomial based on its degree and number of terms.
-2xy^2
Answer:
Degree: 3
Number of terms: 1
Step-by-step explanation:
The exponent on x is 1. The exponent on y is 2.
1 + 2 = 3
Degree: 3
Number of terms: 1
In circle G with m_FGH = 60 and FG = 19 units, find the length of arc FH.
Round to the nearest hundredth.
FH
Answer:
m j ubhyb8yvtucvyrrd86rfutiy
Step-by-step explanation:
choices;
a) 21.8°
b) 35.2°
c) 45.1°
Answer:
[tex] \displaystyle a) \: {x}^{ \circ} = 21.8 ^{ \circ} [/tex]
Step-by-step explanation:
we are given opposite and adjacent
we want to figure out x°
remember that,
[tex] \displaystyle \: \tan( \theta) = \frac{opp}{adj} [/tex]
where our opp is 5 and adj is 12.5
let [tex]\theta[/tex] be x°
so
[tex] \displaystyle \: \tan( {x}^{ \circ} ) = \frac{5}{12.5} [/tex]
[tex] \displaystyle \: {x}^{ \circ} = \arctan \left( \frac{5}{12.5} \right)[/tex]
by using calculator
[tex] \displaystyle \: {x}^{ \circ} = 21.8[/tex]
hence,
our answer is a
What should we find in order to determine how many square feet of plywood are needed to make a rectangular prism
Answer:
surface area
Step-by-step explanation:
A rectangular prism is an optical element which is transparent with flat sides that can pass or reflect light. A rectangular prism is a cube where all its sides are the same.
In the context, in order to find the total square feet of plywood needed to make a prism we have to determine its surface area.
The total surface area of a rectangular prism can be found out by the formula :
A = 2 (hl + lw + wh)
where, h = height of the rectangular prism
l = length of the rectangular prism
w = width of the rectangular prism
QUICK, IF YOU ANSWER THIS I WILL MARK YOU AS BRANIEST.
WHAT IS 2+2=?
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Helppp look at photo will mark brainliest
Answer:
C) 12.5
The length of BC = 12.5cm
Step-by-step explanation:
Step(i):-
Given that ΔABC
Given that AB = 15cm and ∠A = 40°
we will use trigonometric function
[tex]tan x = \frac{oppositeside}{adjacentside}[/tex]
[tex]tan 40^{0} = \frac{BC}{AB} = \frac{BC}{15}[/tex]
Step(ii):-
we know that tan40° = 0.83909
[tex]tan 40^{0} = \frac{BC}{15}[/tex]
BC = 15 × tan 40°
BC = 12.58649
BC = 12.5cm
Final answer:-
The length of BC = 12.5cm
Find the slope of the line passing through the points (-4, 2) and (3, 2)
Answer:
0
Step-by-step explanation:
The slope of a line is also known as the change in the line. it is often referred to as ([tex]\frac{rise}{run}[/tex]) and can be found using the formula, ([tex]\frac{y_2-y_1}{x_2-x_1}[/tex]). Substitute in the given points and solve for the slope,
[tex]\frac{(2)-(2)}{(3)-(-4)}[/tex]
Simplify,
[tex]\frac{0}{3+4}\\\\\frac{0}{7}[/tex]
The slope of the line is (0).
HELP ASAP PLEASEESE <3
Answer:
?? Where IS THE PICTUREEE
Step-by-step explanation:
Please answer everything in the screenshot below I will mark brainliest.
Answer:
The weeks is the independent variable and the height is the dependent variable.
Step-by-step explanation:
This is because the number of weeks you take to care for it depends on the height it will become. Hope this makes sense!
Eli has 8 black pens and 5 blue pens in his desk drawer. he also has 3 yellow highlighters, 4 green highlighters, and 5 pink highlighters in his pencil case. If he chooses one pen and one highlighter without looking, what is the probability that he will get a blue pen and he will not get a yellow highlighter. Brainliest for most helpful answer.
I will ban you if you use bit. ly
Help me, please ❤️❤️
Answer:
thx for the points
Step-by-step explanation:
u
Josephine bought 8 gallons of milk.
How many liters does that equal?
Answer:
Either 30 or 32, depending on if your teacher wants you to use exact decimals, or rounded numbers
Step-by-step explanation:
Usually people round liters to equal 4 per gallon, which would give you 32.
However, a liter is technically 3.785 liters per gallon- and this exact number would give you 30 as an awnser.
I'd say 32 is the safer awnser, unless your teacher has given you the number 3.785 decimal amount to use instead.
Part A: To the nearest tenth of an inch, what was the circumference of the circular pie before the slice was
cut out?
Part B: To the nearest inch, what was the area of the circular pie before the slice was cut out?
Part C: To the nearest tenth of an inch, what is the area of the slice of pie that was cut out?
Part D: To the nearest inch, what is the length of the curst for the slice of pie that was cut out?
Next Question
Question 1 of 2
Answer:
Part A
The circumference of the circular pie before the slice was cut out is approximately 69.1 inches
Part B; The area of the circular pie before the slice was cut out is approximately 380 in.²
Part C
The area of the slice of pie that was cut out in approximately 40 in.²
Part D;
The length of the crust for the slice of pie is approximately 7 inches
Step-by-step explanation:
Part A
The shape of the pie = Circular shape
The radius of the pie, r = 11 inches
The circumference of a circle = 2·π·r
Therefore, we have;
The circumference of the circular pie before the slice was cut out, 'C', is given as follows;
Where;
r = 2 inches
C = 2 × π × 11 inches = 22·π inches ≈ 69.115 inches
The initial circumference of the circular, C ≈ 69.115 inches
To the nearest tenth of an inch, we have;
The initial circumference of the circular, C ≈ 69.1 inches
Part B; The area of a circle, A = π·r²
Therefore;
For the circular pie before the slice was cut out, A = π·(11 in.)² ≈ 380.133 in.²
To the nearest square inch, we have;
The area of the circular pie before the slice was cut out, A ≈ 380 in.²
Part C
The area of the slice of the pie that was cut out, A is given by the area of a sector of a circle as follows;
[tex]The \ area \ of \ a \ sector, A = \dfrac{\theta}{360 ^{\circ}} \times \pi \cdot r^2[/tex]
The angle of the sector formed by the slice of pie that was cut out, θ = 38°
Therefore, the area of the slice of pie that was cut out, 'A', to the nearest tenth of a square inch is given as follows;
A = 38/360 × π × (11 in.²) = 40 in.²
The area of the slice of pie that was cut out, A = 40 in.²
Part D;
The length of the crust of the slice of pie that was cut out is given by the arc length of the sector of the circular pie the slice of pie represent as follows;
[tex]Arc \ length = \dfrac{\theta}{360 ^{\circ}} \times 2\cdot \pi \cdot r[/tex]
Therefore for the slice of pie, to the nearest inch, we have;
[tex]Arc \ length = \dfrac{38 ^{\circ}}{360 ^{\circ}} \times 2\times \pi \times 11 \, in. \approx 7 \, in.[/tex]
The length of the crust for the slice of pie ≈ 7 in.
Graph f(x) = 3 |x– 5|+ 1.
Answer:
This is how your function looks on a graph table. Hope this helps.
hii please help i’ll give brainliest
Answer: Point K
Step-by-step explanation:
The first number is the x line and the second number is the y line <3 pls mark brainliest
YGYGGYGYUGJHVVJFYTTDUYF
A student number system for a county requires that the student number be 5
characters. The first character is a consonant, the second through the fourth characters can be any digit but no digit can repeat and the last character must be a
letter. How many unique student numbers are possible?
546,000 student numbers
393,120 student numbers
302,400 student numbers
468,000 student numbers
Answer:
B
Step-by-step explanation:
First Character: 21 consonant
2nd 3rd and 4th: 10* 9* 8 = 720
Last Character: 26
Total Ways 21 * 720 * 26 = 393120
If you roll a 6-sided die 6 times, what is the best prediction possible for the number of times you will roll a one?
Answer:
yes
Step-by-step explanation:
Alfonso scored 1818 points during his last basketball game, which was 40\%40% of the points the entire team scored. The entire team scored points.
Answer: 45 points
Step-by-step explanation:
Let the point of the entire team be represented by x.
Alfonso scored 18 points during his last basketball game, which was 40% of the points the entire team scored. This can then be represented in an equation as:
40% of x = 18
40% × x = 18
40/100 × x = 18
0.4 × x = 18
0.4x = 18
x = 18/0.4
x = 45
The team's total point is 45
A veterinarlan treated 7 dogs this morning. The list below gives the weights (in pounds) of each dog. 24,3,29, 24,8, 38,62 Find the range of the data set.
What is 7 + 3/4x = x
Answer
28Can I have the brainliest please?1) Matthew can run 1/5 of a mile in 1/3 of an hour. What is the unit rate?
Answer:
3/5 mile/h
Step-by-step explanation:
velocity = distance / time
then 1/5 / 1/3 = 1/5 * 3/1 = 3/5
Review questions
6. What is slope and y intercept of the line shown in the graph? Write the equation for the line. (3 pts)
Slope,
y-intercept:
Equation:
Answer:
slope: -3/4 y-intercept: 3 equation: y=(-3/4)x+3
Can someone please help!! I’m stuck on this question
Answer:
-12
Step-by-step explanation:
Farenheit is on the x-axis (horizontal) so you go to 10, then find the celsius which is on the y-axis (vertical) and the line is around -12. Hope this helps!
Ill mark brainliest if right! Which could NOT be side lengths of a parallelogram?
A. 2 yd, 2 yd, 2 yd, 2 yd
B. 3 cm, 2 cm, 2 cm, 3 cm
C. 4 m, 3 m, 4 m, 4 m
D. 5 in., 5 in., 3 in., 3 in.
Answer:
C: 4m, 3m, 4m, 4m
Step-by-step explanation:
The opposite sides of a parallelogram have to be congruent. Since one side is 3m, the quadrilateral is not a parallelogram.
Please help me and show your work
Answer:
Step-by-step explanation:
y = 3x + 4
Plugin x = 3 in the equation,
y = 3*3 + 4
= 9 + 4
y = 13
Plugin x = 4 in equation,
y = 3*4 + 4
= 12 + 4
y = 16
Plugin x = 5 in the equation,
y = 3*5 + 4
= 15 + 4
y = 19
2) y =x - 7
Plugin x = 10 in the equation
y = 10 - 7
y = 3
Plugin x = 15 in the equation
y = 15 - 7
y = 8
Plugin x = 20 in the equation
y = 20 - 7
y = 13
Jace recorded the grade-level and instrument of everyone in the middle school School of Rock below. Seventh Grade Students Eighth Grade Students Instrument # of Students Instrument # of Students 11 Guitar 13 14 Guitar Bass Drums Keyboard Bass Drums Keyboard 13 8 14 3 Based on these results, express the probability that a seventh grader chosen at random will play an instrument other than bass as a percent to the nearest whole number.
please answer , I have no idea how to do this
Using the table, it is found that there is a 77% probability that a seventh grader chosen at random will play an instrument other than bass.
-----------------------------
A probability is the number of desired outcomes divided by the number of total outcomes.The table is given at the end of this question.From the table:
There are 12 + 10 + 9 + 12 = 43 7th grade students.Of those, 33 play an instrument other than the bass.Then:
[tex]p = \frac{33}{43} = 0.77[/tex]
0.77 = 77% probability that a seventh grader chosen at random will play an instrument other than bass.
A similar problem is given at https://brainly.com/question/22203443
solve by subsution 10x=4 2x+y=-24
Answer:
big shaq
Step-by-step explanation:
katie wants to buy a watermelon from the store if the watermelon costs $1.20 per kilogram and the watermelon weighs 6 kilograms how much money will katie spend on the watermelon?
Answer:
p=0.60w
Step-by-step explanation:
Let
p ----> the price of a watermelon in dollars
w ---> the weight of a watermelon in pounds
In this problem we have a proportional relationship
Remember that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
In this problem
p=kw
The value of the constant of proportionality k is the same that the unit rate
Find out the unit rate
Divide the total cost by the total weight
k=4.38/7.3=0.60per lb
substitute in the equation
p=0.60w
Step-by-step explanation:
brainliest?
HELP ITS MY LAST QUESTION!!!
Answer:
D. x + 23
Step-by-step explanation:
Start by distributing the 3 to the numbers in the parenthesis
3(x + 6) - 2x + 5
3x + 18 - 2x + 5
now just add like terms
3x + 18 - 2x + 5
x + 23