Given:
The table of data values.
To find:
What is the percentage of 10th grade students are in 2 clubs.
Solution:
From the given table it is clear that the number of 10th grade students are in 2 clubs is 12.
Total number of students in 10th grade is:
[tex]125+12+15=152[/tex]
Now, the percentage of 10th grade students are in 2 clubs is:
[tex]\text{Required percentage}=\dfrac{\text{Number of 10th grade students are in 2 clubs}}{\text{Total number of students in 10th grade}}\times 100[/tex]
[tex]\text{Required percentage}=\dfrac{12}{152}\times 100[/tex]
[tex]\text{Required percentage}=\dfrac{1200}{152}[/tex]
[tex]\text{Required percentage}\approx 7.89\%[/tex]
Therefore, the percentage of 10th grade students are in 2 clubs is 7.89%.
real answers only pls help!
Answer:
look at the picture i have sent
Answer:
d
Step-by-step explanation:
this shape is made up of a triangular prism and a rectangular prism. the formula for the volume of a prism (any prism, doesn't matter) is base area times height. the base areas of the rectangular prism can be found by multiplying 4*12, as these are the dimensions of the base rectangle. 4*12=48. we now multiply this number by the height of the rectangular prism as shown in the volume of a prism formula. the height of the rectangular prism is 14, so 48*14=672. the volume of the rectangular prism is 672 cm^3.
now for the triangular prism. the bases of the triangular prism are the two triangle shapes on the ends; a prism is named after the shape of its base, so be sure to note that you use the triangles for the formula and not the rectangle on the bottom. to find the area of one of these bases (they are both the same), we use the triangle area formula, 1/2*base*height. the base of the triangle shape is 4 units long, as seen by the measurements of the rectangle this triangle sits on top of. to find the height of this triangle, which isn't given, we must use the pythagorean theorem, a^2+b^2=c^2. c in this case is equal to 4 as that is the hypotenuse, and a and b are interchangeable. since the pythagorean theorem only works for right triangles, we must cut the base length in half to assume that the final side is a vertical line, which will give us the height of the original triangle. (note: halving the base length in order to apply the pythagorean theorem only works in this case because both of the other sides are equal length, as we can see on the far triangle, so make sure this applies before trying it in another context) the halved base length is 2, and this number can be either a or b, doesn't matter because the formula adds them. so: (2)^2+b^2=4^2. 2^2 is 4, and 4^2 is 16. 4+b^2=16. subtract 4 from both sides, leaving you with b^2=12, and to get rid of the square on b you take the square root of both sides. so the height of this triangle is the square root of 12, which doesn't need to be simplified if you have a calculator that can process square root input. so to find the area of this triangle, we convert the equation 1/2*base*height into 1/2*4*square root of 12. this gets you about 6.93. to find the total volume of this prism, you multiply the base area times height. as we just figured out, the base area is 6.93, and the height is 12, because this is the length between the two bases, which are the triangles. so, 6.93*12=83.16 is the volume of the triangular prism. the final step is to add this to the volume of the rectangular prism, which is 672. 672+83.16= 755.16 cm^3.
hope this helps! :)
The perimeter of an equilateral triangle is 147mm.
State the length of one of its sides
Answer:
49
Step-by-step explanation:
equilateral triangles have 3 equal sides so you do 147/3
please helpp mee!!!
zoom in to see more clear!
Answer:
1. 72.
2.55
3.8
Step-by-step explanation:
it's not that hard girl by like I'm too lazy to do the last one
Find the value of each variable so that PQRS is a parallelogram. Explain what allows you to do this.
Answer:
[tex]x = 5[/tex]
[tex]y = 16[/tex]
Step-by-step explanation:
Given
See attachment for parallelogram
Required
Find variables x and y
Solving for x, we have:
[tex]5x = 25[/tex] ---- Opposite sides of a parallelogram
[tex]\frac{5x}{5} = \frac{25}{5}[/tex] ------ Divide both sides by 5
[tex]x = 5[/tex]
Solving for y, we have:
[tex]3y - 1 = 47[/tex] ---- Opposite sides of a parallelogram
[tex]3y = 1 + 47[/tex] ------ Collect like terms
[tex]3y = 48[/tex]
[tex]\frac{3y}{3} = \frac{48}{3}[/tex] ---- Divide both sides by 3
[tex]y = 16[/tex]
Give the domain.
y =2 / (5x - 4)(4x - 9)
Answer:
x ≠ 4/5, x ≠ 9/4
You can also write it as "all real numbers except 4/5 and 9/4."
Step-by-step explanation:
The denominator of a fraction cannot equal 0. We can write this relation to find what x does NOT equal:
(5x - 4)(4x - 9) ≠ 0
We can use the zero-product property to get two separate equations:
5x - 4 ≠ 0
5x ≠ 4
x ≠ 4/5
4x - 9 ≠ 0
4x ≠ 9
x ≠ 9/4
PLEASE PLEASE HELP I REALLY NEED IT!! I KEEP GETTING WRONG ANSWERS
You can transform ⨀T to ⨀T' by translating it and then performing a dilation centered at T'. Find the translation rule and the scale factor of the dilation.
Simplify the scale factor and write it as a proper fraction, improper fraction, or whole number.
Translation: (x,y)↦ (___ ) , (____)
,
Scale factor:
Answer:
(x,y)↦ ( x + 1 ) , ( y + 9 )
scale factor 2
Step-by-step explanation:
Step 1 identify the translation.
To do this we find the center of ⨀T and the center of ⨀T' and find the difference between their x and y values.
The center of ⨀T is at ( -1 , -7 )
The center of ⨀T' is at ( 0 , 2 )
we now find the difference between the x and y values. ( note that you must subtract the x and y values from the preimage from the translated image to get the correct translation. )
For the x values: 0 - ( - 1 ) = + 1
For the y values: 2 - ( -7 ) = + 9
So translation was (x,y)↦ ( x + 1 ) , ( y + 9 )
step 2 Find the scale factor
We can identify the scale factor by dividing the radius of the preimage by the radius of the dilated image.
The radius can be identified by finding the distance between the center and any point on the circle
The radius of the preimage is 3
The radius of the dilated image is 6
So scale factor = 6 / 3 or 2
find the area of the triangle
Please help
need the correct answer
Urgent
Please do not answer from links
will give the brainliest!
Answer:
[tex] \rm \displaystyle A_{ \text{triangle}} = \frac{147 \sqrt{7} }{2 } \quad \text{or} \quad 73.5 \sqrt{7} [/tex]
Step-by-step explanation:
we have a right angle triangle composited in a semi-circle we want to figure out the area of the triangle
in order to do so we need to figure out the adjacent side (height AB)
since the given triangle is a right angle triangle we can consider Pythagoras theorem given by
[tex] \displaystyle {a}^{2} + {b}^{2} = {c}^{2} [/tex]
given that,a=21 and c=28
substitute:
[tex] \displaystyle {21}^{2} + {b}^{2} = {28}^{2} [/tex]
move left hand side expression to right hand side and change its sign:
[tex] \displaystyle {b}^{2} = {28}^{2} - {21}^{2} [/tex]
square root both sides:
[tex] \displaystyle {b}^{} = \sqrt{{28}^{2} - {21}^{2} }[/tex]
use algebraic indentity:
[tex] \rm \displaystyle {b}^{} = \sqrt{({28}^{} + 21) (28 - {21}^{})}[/tex]
simplify:
[tex] \rm \displaystyle {b}^{} = \sqrt{({49}) ( 7)}[/tex]
use redical property:
[tex] \rm \displaystyle {b}^{} = 7 \sqrt{ 7}[/tex]
now to figure out the area we can consider the following formula:
[tex] \displaystyle A_{ \text{triangle}} = \frac{1}{2} bh[/tex]
remember that,h=AB=7√7 and b=BC=21 thus substitute:
[tex] \displaystyle A_{ \text{triangle}} = \frac{1}{2} \times 21 \times 7 \sqrt{7} [/tex]
simplify multiplication:
[tex] \rm \displaystyle A_{ \text{triangle}} = \frac{147 \sqrt{7} }{2 } \quad \text{or} \quad 73.5 \sqrt{7} [/tex]
hence,
the area of the triangle is 194 (approximately)
note: you can also use horon's formula but I like to keep things simple
Please find attached photograph for your answer.
What are all the zeros of the function f(x) = 4x^2 + 8x + 3?
Answer: -1/2 and -3/2
Step-by-step explanation:
Passes through
(1.2) and (3, -8).
with y=mx+b
Answer:
y = -5x - 10
Step-by-step explanation:
-8-2 -10
____ = ___ = -5
3 - 1 2
Answer:
y = -5x + 7Step-by-step explanation:
Find the slope:
m = (- 8 - 2) / (3 - 1) = -10 / 2 = -5Use the point (1, 2) and find the equation:
y - 2 = -5(x - 1)y = -5x + 5 + 2y = -5x + 7The volume of the can is____?
There are ____cups of juice in a can
Answer:
Step-by-step explanation:
radius = diameter / 2 = 5/2 = 2.5 in
V = radius^2 x pI x height = 2.5^2 x pi x 8 = 157.1 in^3 (round to the nearest tenth)
cups = Volume of a can / Volume of a cup = 157.1 / 14.44 = 10.9 (round to the nearest tenth)
a car is going 40 miles per hour for 3 hours how far did the car go?
can anyone explain to me
Answer:
120miles
Step-by-step explanation:
I am not sure exactly I just guessed that since it's 40 miles an hour, it would be 40 x 3 ~ but am not sure... hope it works out!
btw am rlly bad at this :'')
- sry if am wrong
In ⊙Q, mJLK= 170 and m∠1 = 36. What is mLM?
Select the correct answer. What is the approximate distance between points D and E? Round your answer to the nearest hundredth. A.
Answer:
The approximate distance between points D and E is 8.25
Step-by-step explanation:
The figure is as follows :
To find - What is the approximate distance between points D and E ?
Solution -
By Pythagoras Theorem, we get
(DE)² = (FE)² + (DF)²
= (8)² + (2)²
= 64 + 4
= 68
⇒(DE)² = 68
⇒DE = √68
⇒DE = 8.246
∴ we get
The approximate distance between points D and E is 8.25
i will give brainiest if correct please hurry!!
You flip a coin 50 times and get 26 tails. What is the experimental probability of flipping heads? Write your answer as a simplified fraction or a percentage.
Answer:
12/25
Step-by-step explanation:
If you got 26 tails, that means you got 50 - 26 or 24 heads. The experimental probability can be represented by the desirable flips over the total number of flips. We are looking for heads, so the amount of heads is the amount of desirable flips, and the total is 50. From this, we get the fraction 24/50 which simplifies to 12/25.
Ms. Masi is going to be paid $11.25 per day to look after Ms. Simms’ dog. She wants to save all of her earnings, but she owes her brother $72. After the first day of dogsitting, Ms. Masi uses her earnings to pay part of her debt to her brother. After the second day, she uses her earnings to pay more of her debt. Ms. Masi plans to save every dollar of her dog sitting money as soon as she has paid her brother in full.
How many days will it take for Ms. Masi to pay her brother in full? Explain.
Answer:
7 days
Step-by-step explanation:
So! Ms. Masi earns $11.25 everyday, and is paying her brother back everyday. Let's make an equation to solve for the number of days!
11.25d = 72 (d = # of days)
Now, we have to solve this equation to see how many days (d) it will take Ms. Masi to pay her brother back.
11.25d = 72
÷11.25 ÷11.25 (Divide by "11.25" to get the variable by itself)
d = 6.4
Since, she only gets 1 pay per day, Ms. Masi will have to wait til her 7th day to pay her brother back.
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
What is the rate of change of the linear function that has a graph that passes through (9,2) and (3,-1)?
=================================================
Explanation:
Your teacher wants you to find the slope
m = slope
m = (y2-y1)/(x2-x1)
m = (-1-2)/(3-9)
m = -3/(-6)
m = 1/2
----------------
Extra info:
We can think of the slope as
slope = rise/run
and furthermore,
rise = change in y = y2-y1run = change in x = x2-x1Essentially we subtract the corresponding y coordinates together, subtract the x together (in the same order as the y values), then divide the differences.
A window has the shape of a rectangle with a semicircle at the top. Find the approximate area of the window using the dimensions shown.
Answer:
9.57 ft²
Step-by-step explanation:
assuming the diigram attached is similar to the one required to complete the question,
From the diagram
Area of the window = Area of the rectangle+ Area of the semi circle.
A = lw+πr²/2................ Equation 1
Where A = area of the window, l = length of the rectangle, w = width of the rectangle, r = radius of the semi circle.
From the diagram,
Given: l = 4 ft, w = 2 ft, r = w/2 = 2/2 = 1 ft.
Constant: π = 22/7
Substitute these values into equation 1
A = (4×2)+(22/7×1²/2)
A = 8+1.57
A = 9.57 ft²
Find the degree measure of each angle in the triangle
Answer:
∠L = 43°
∠M = 121°
∠N = 16°
Step-by-step explanation:
Start by setting all sides equal to 180
3x - 5 + 7x + 9 + x = 180
Add like terms
11x + 4 = 180
Solve for x
11x + 4 = 180
- 4 - 4
11x = 176
/ 11 /11
x = 16
Now, plug in 16 for all instances of x on the triangle and solve.
∠L = 43°
∠M = 121°
∠N = 16°
HELP! THIS IS DUE TODAY, and i will mark brainlest!
Answer: D or y remains unchanged
Step-by-step explanation:
Answer:
D or y remains unchanged
Step-by-step explanation:
3.) Este es un prisma triangular. Halla el volumen. 4 cm 5 cm 5 cm 10 cm 6 cm a 150 cm2 bo 180 cm? с 120 cm2 d 420 cm?
Answer:
a 150
Step-by-step explanation:
Answer:
120cm^2
Step-by-step explanation:
el volumen del prisma triangular es = b * l
b = 1/2 (4) (6/2) (2) = 12
l = 10
12 * 10 = 120
Name the relationship: altérnate interior, corresponding, or altérnate exterior.
Which is the Answers?
A. Altérnate interior
B. Complementary
C. Altérnate exterior
D. Corresponding
Can you help me, I would appreciate it very much:)
Answer:
A. Alternate Interior
Step-by-step explanation:
A. Alternate interior
Step-by-step explanation:
Angles a and b are alternate interior angles,
Alternate interior angles are equal.
Also,
a = b
Someone help me right now pls
Answer:
90 degrees and 180 degrees
Step-by-step explanation:
90 degrees and 180 degrees
Slope of the line that passes through (8,-9) and (14,-9)
Answer:
slope = 0
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (8, - 9) and (x₂, y₂ ) = (14, - 9)
m = [tex]\frac{-9+9}{14-8}[/tex] = [tex]\frac{0}{6}[/tex] = 0
A 2-quart carton of sour cream costs $4.32. What is the price per cup?
Answer:
0.54 cents
Step-by-step explanation:
4 cups per quart = 8 cups per 2 quarts
4.32/8 = .54
If the Diameter of a circle is 30.4, what is the area of the circle?
hello please help i’ll give brainliest
Answer:
Volcanic Eruptions, Earthquakes, Erosion
I am very sorry if this is wrong
Have a great rest of your day and good luck!
Answer:
the answer is a, b, and d
Step-by-step explanation:
erosion is caused by wearing down overtime
Someone help me pls
Answer:
i think it's 4^ 19
4^11/4^-8
4^ 11 +8
4^19
help please!????????????????????????????
Answer:
c
Step-by-step explanation:
im 99% sure this is the answer
Forty-five percent of what number is 15.75?
45 percent (calculated percentage %) of what number equals 15.75? Answer: 35.
Answer:
35
Step-by-step explanation:
15.75 / 0.45 = 35
Martika surfs with her friends at Virginia Beach. Her friend, Mark, caught 8 waves out of 20 possible waves to ride in to shore. They plan to stay out in the water for 50 more waves. How many of the 50 waves do you predict Mark will catch?
Answer:
20 waves
Step-by-step explanation:
Out of 50 waves, Mark will catch 20 waves. To find this, first, you have to put it into a ratio.
8 x
--- = -----
20 50
To solve this, you need to multiply 8 x 50, which is 400. Next you need to divide 400 by 20, which is 20 waves.
This means x = 20 waves.
Hope this helped!! :) If you have any questions, make sure to comment!!