Mathematics High School

If the hypotenuse of the triangle below is 8√2, what is the leg?

Answers

Answer 1

Answer:

Step-by-step explanation:

The side lengths of this special right triangle is as follows:

The side length that sees angle measure 90 (hypotenuse) is represented with x[tex]\sqrt{2}[/tex]

and

the side length that sees angle measures 45 (the legs) is represented with x

hypotenuse is given as 8[tex]\sqrt{2}[/tex] so we can easily find the value of x and legs in this case

x = 8

Related Questions

PLEASE HELP QUICKLY!

Part A: Abe rented a bike at $36 for 5 days. If he rents the same bike for 8 days, he has to pay a total rent of $48.

Write an equation in the standard form to represent the total rent (y) that Abe has to pay for renting the bike for x days. (4 points)

Part B: Write the equation obtained in Part A using function notation. (2 points)

Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals. (4 points)

(10 points)

Answers

Answer:

(5,36)(8,48)slope = (48 - 36) / (8 - 5)

Step-by-step explanation:

Answer: Equation of the system is y = 4x + 16 and in function form is f(x) = 4x + 16.

Explanation

100 PTS AND WILL GIVE BRAINLY!!!

THE SCENARIO
The Tortoise and the Hare finally have their long awaited rematch. The Tortoise gets a
300 m lead and runs at 0.2 m/s. The Hare begins at the starting line and runs at a rate of 2 m/s. There is also a rat in this race. The Rat starts 350 m ahead of the Hare and runs back towards the starting line at a rate of 0.6 m/s.

THE CALCULATIONS
Create a table of values for each runner in the race. The domain for the race will be 0 ≤ t ≤ 200 seconds. You can decide on 5 time intervals for your table.

Answers

Answer:
Tortoise:

Hare:
Rat:

All will be shown later

Step-by-step explanation:

Equation for Torotise: f(x)=0.2(x)+300

Equation for the Hare: f(x)=2(x)

I hope it helps! I will show you screenshots in the comments

A survey asked 200 Grade 4 students about their reading preferences. Based on Graph #1, about how many of them would you expect prefer comic books?

i added the graph

Answers

Answer:

D. 80

Step-by-step explanation:

The graph shows that about 3/8 ( 37.5% ) of the students enjoy comic books.

200 × .375 = 75

75 rounded to the nearest tens value is 80

What is the area of the painting shown ?

Answers

Area = length x width

Length = x + 6 + x + 2 = 2x + 8

Width = x + 4 + x = 2x + 4

area = 2x + 8 * 2x + 4

multiply each term by each term

Area = 4x^2 + 24x + 32

Answer: I think this is correct but i'm not sure! the answer should be 48 im not sure though

Step-by-step explanation:

6 x 2 = 12 x 4 = 48

please help me out!!!
A trapezoid with short base fourteen centimeters, long base thirty-eight centimeters, height sixteen centimeters, and diagonal side lengths twenty centimeters.
320 square centimeters
608 square centimeters
416 square centimeters
560 square centimeters

Answers

Answer:

416 square centimeters

Step-by-step explanation:

Formula for finding area of a trapezoid :

A = 1/2 x (a + b) x h

a and b = parallel sides of the trapezoidh = height of the trapezoid

Solving :

A = 1/2 x (38 + 14) x 16A = 8 x 52A = 416 square centimeters

Answer:

416 cm²

Step-by-step explanation:

The figure we are given, is a trapezoid. Let's apply the "area of trapezoid" formula to determine the area of the trapezoid provided.

[tex]\boxed{\text{Area of trapezoid:} \ \dfrac{a_1 + a_2}{2} h}[/tex]

[Where a₁ and a₂ are the measure of the parallel sides and h is the height]

Let's plug the height and the parallel sides into the formula and simplify it:

[tex]\text{Area of trapezoid} = \dfrac{38 + 14}{2} \times 16}[/tex]

[tex]\text{Area of trapezoid} = \dfrac{52}{2} \times 16}[/tex]

[tex]\text{Area of trapezoid} = 26 \times 16}[/tex]

[tex]\boxed{\text{Area of trapezoid} = 416 \ \text{cm}^{2}}[/tex]

Therefore, the area of the trapezoid is 416 cm².

Learn more about area of trapezoids: https://brainly.com/question/26695399

The length of a
rectangle is 12 cm
more than the width.
The perimeter is 44
cm. What is the
length of the
rectangle?

Answers

Answer:

length= 5+ 12= 17

Step-by-step explanation:

will take width as x

then the length is x+12

perimeter = x+ x+12+x+x+12= 44

=4x= 44-24= 36

x= 20/4

x= 5

Drag numbers to the table so it shows a proportional relationship between x and y.

PLEASE HELP

Answers

Answer:

See below ~

Step-by-step explanation:

Finding the proportionality constant, k :

y = kxTake the point (0.5, 3)3 = 0.5kk = 6

Table :

[tex]\left[\begin{array}{ccc}0.5&3\\1.5&9\\4.5&27\end{array}\right][/tex]

The diameter of the circle is 5 inches, the circumference is 15.70 inches, and the area is 19.625 square inches.

Use the formula for area and solve for the value of pi for the circle.

Answers

Answer:

it is approximately 19.63.

Step-by-step explanation:

Area= pi r^2

The figures below are similar. What is v?

Answers

Answer:

v = 16 mm

Step-by-step explanation:

since the figures are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{v}{20}[/tex] = [tex]\frac{28}{35}[/tex] ( cross- multiply )

35v = 560 ( divide both sides by 35 )

v = 16

Consider the function f(x) = log x. Which two transformations can be used to move
the graph of f(x) to the graph of -f(x+4)?
Select all that apply

Answers

The parent function will translate 4 units to the left and reflect over the x-axis option (C) and (E) are correct.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

f(x) = log x

First transformation:

Replace x → (x+4)

The parent function will shift left side by 4 units.

Second transformation:

Multiply the function with -1

The function will reflect over x-axis

The function becomes:

g(x) = -log(x+4)

Thus, the parent function will translate 4 units to the left and reflect over the x-axis option (C) and (E) are correct.

Learn more about the function here:

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Hi everyone i hope you can help with this exercise

Answers

s = area = 11.76

p = perimeter = 16.8

r=2*11.76/16.8=23.52/16.8=1.4

r=1.4

a= 90 degrees

b=36.87 degrees

c=53.13 degrees

triangle is in a circle

Circumradius: R = 3.5

5 cm
3 cm
5 cm
8 cm
2 cm
7 cm
what is the volume of the prism? show your thinking. organize it so it can be followed by others.

Answers

8400

Step-by-step explanation:

use multiplication
I cant reveal any more things that I know

can someone help me with this

Answers

angles in a triangle always equal to 180° so:

1. all the angles are equal to each other

180°÷3=60°

•we know 1 angle, 68°

• straight lines are 180°-> 180°-126°= 54°

180°-68°-54°= 58°

Write standard form of the equation of the line through the given point with the given slope
through: (4, -4), slope = -1

Answers

Answer:

x+1y=-4

Step-by-step explanation:

use ax+by=c

◄) There were 60 dogs at the dog park last Saturday, and 30 of them were purebreds.
Considering this data, how many of the next 18 dogs to arrive at the park next Saturday
should you expect to be purebreds?
purebreds
Submit

Answers

30!outcof 60 were purebreds 30/60 = 1/2

1/2 of the dogs were purebreds.

18 x 1/2 = 9

Answer: 9 dogs

Answer:9 points

Step-by-step explanation:in the hyperproberbillity of things it’s this answer.

The kinetic energy (K) that an object has varies jointly with its mass (m) and the square of its velocity (v). The equation that represents this relationship is given by [tex]K=kmv^2[/tex] where k is the kinetic energy constant. If a bowling ball of mass 5 kilograms is traveling at 2 meters per second, its kinetic energy is 10 Joules. What is the kinetic energy of a bowling ball of mass 3 kilograms traveling at 2.6 meters per second?

Answers

The kinetic energy of the bowling ball with the mass and traveling at the given velocity is 10.14 Joules.

What is Kinetic Energy?

Kinetic energy is simply a form of energy a particle or object possesses due to its motion.

It is expressed as;

K = (1/2)mv²

Where m is mass of the object and v is its velocity.

Given that;

Mass of the bowling ball m = 3kgVelocity of the bowling ball v = 2.6m/sKinetic energy K = ?

We substitute the given values into the above equation.

K = (1/2)mv²

K = 0.5 × 3kg × (2.6m/s)²

K = 0.5 × 3kg × 6.76m²/s²

K = 10.14kgm²/s²

K = 10.14J

Therefore, the kinetic energy of the bowling ball with the mass and traveling at the given velocity is 10.14 Joules.

Learn more about kinetic energy here: brainly.com/question/12669551

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Here are two rectangles. the area of the shaded rectangle is 1/4 the area of the large rectangle. work out the value of x

Answers

The area of the rectangle is the product of length and width. The value of the variable x is 3.6 cm

What is the area of the rectangle?

Let L be the length and W be the width of the rectangle.

Then the area of the rectangle will be

Area of the rectangle = L × W square units

The diagram is given below.

Let A₁ be the area of the small rectangle and A be the area of the large rectangle.

A₁ = 1/4 A

4A₁ = A

4 × 2× (12 - x) = 12 × (x + 2)

8(12 - x ) = 12x + 24

96 - 8x = 12x + 24

72 = 20x

x = 3.6

Then the value of the variable x is 3.6 cm

More about the area of the rectangle link is given below.

https://brainly.com/question/20693059

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Using the net below, find the surface area of the triangular prism 5 cm 5 cm 4 cm 4 cm 3 cm 3 cm 3 cm 5 cm

Answers

Answer:

54000

Step-by-step explanation:

use multiplication
do ur own work if you want to see if I'm wrong

You toss a nickel a penny and a dime what is the probability that the nickel comes up heads

Answers

The penny can land two ways. The nickel can land two ways. The dime can land two ways. The quarter can land two ways. The total number of ways that all of them can land is (2x2x2x2)= 16 possibilities. Only ONE result shows no heads . . . TAIL-TAIL- TAIL-TAIL. All of the other 15 possibilities include at least one HEAD. So the probability is 15/16 = 93.25% .

9 in.
5 in.
4
5 in.
What is the volume of a square pyramid that has a
base length of 5 inches and a height of 9 inches?
cubic inches
Volume of a pyramid: V = Bh Where "B" is the area of the pyramid's base)

Answers

Answer:

Step-by-step explanation:

1/3 * 5² * 9 = V

1/3 * 25 * 9

= 75

what is the approximate of this cone

Answers

Answer:

so the volume of our cone is exactly π ! As we all know, this can be approximated as volume ≈3.14159

Find the equation of a line that passes through point (2,4) and has a gradient of 3

Answers

Answer:

y=3x-2

Step-by-step explanation:

y-y0=m(x-x0)

y-4=3x-6

y=3x-2

[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

Find the equation of a line that passes through (2,4) and has a gradient of 3.

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

First, let's take a look at our provided information.

| Provided information:-

Point (2,4)Gradient 3

What we need to find:-the line's equation

How to find it using our provided information (gradient & point)?

write the equation of the line in point-slope form

point-slope form:-

[tex]\sf{y-y_1=m(x-x_1)}[/tex]

how to solve:-

Replace y₁ with 4Replace m with 3 (m is the gradient)Replace x₁ with 2

therefore,[tex]\sf{y-4=3(x-2)}[/tex]

[tex]\bigstar[/tex] On simplification,

[tex]\sf{y-4=3x-6}[/tex]

[tex]\bigstar[/tex] On further simplification,

[tex]\sf{y=3x-6+4}[/tex]

Which results in:-

[tex]\sf{y=3x-2}[/tex]

Good luck with your studies.

[tex]\rule{300}{1}[/tex]

a drawer contains black socks and white socks. 70% of the socks are black socks.

Answers

Answer:

30% are white socks

Step-by-step explanation:

percent - per 100

100- 70 = 30

=> 30% of the 100 are white socks.

4m=6m-2/5

First answer get to be brainliest!

Answers

Answer:

m = 1/5

Step-by-step explanation:

4m = 6m - 2/5

-2m = -2/5

m = 2/5 : 2

m = 1/5

what is -3(4+(-7) + (-2( 5) -17) with examples please

Answers

Answer:

Step-by-step explanation:

A solid glass sphere is cast with a diameter of 30 cm. find the volume of the sphere. please leave in terms of pi.
a. v = 20pie cm^3
b. v = 40pie cm^3
c. v = 4,500pie cm^3
d. v=14,137pie cm^3

Answers

Answer:

Step-by-step explanation:

Recall that the volume of a sphere is given by:

[tex]\displaystyle V = \frac{4}{3}\pi r^3[/tex]

Because the sphere has a diameter of 30 cm, its radius is 15 cm. Therefore, its volume is:

[tex]\displaystyle \begin{aligned} V & =\frac{4}{3}\pi(15\text{ cm})^3 \\ \\ & = \frac{4}{3}\pi(3375\text{ cm}^3) \\ \\ & = 4500\pi\text{ cm}^3 \end{aligned}[/tex]

In conclusion, our answer is C.

Tasha has foam blocks stored in a box that measures 214 ft long by 2 ft wide by 2 ft tall.

Each foam block is a cube with 12ft edge length.

How many blocks can fit into the box?

Answers

the blocks can fit very comfortably in the space as it shown right above thank you

In a recent survey, 8 people were each asked the number of times they have been on an airplane. Here is a list of the responses.
9, 21, 7, 11, 13, 21, 5, 14
Find the range of the data set.

Answers

Answer: 16

Explanation: Range is the difference between the highest and lowest number.
21 - 5 = 16.

Answer: The range of the data set is: " 16 " .

______

Explanation:
The range is calculated by subtracting the lowest value in the given data set from the highest value in the data set.
______

Given: The data set: 9, 21, 7, 11, 13, 21, 5, 14 ;

Let us organize these numbers from lowest value to highest value:
" 5, 7, 9, 11, 13, 14, 21, 21 " ;
Note: This is done by inspection. Note that all eight (8) values are accounted for.
So, we subtract the lowest value in our given data set: "5" ;

from the highest value in our given data set: "21" ; to get the "range":

→ " 21 − 5 = 16 " ;

______
The range is: " 16 " .
______
Hope this is helpful! Best wishes!

Noemi decide hacer una cadena de solidaridad. Para esto
ella pide $500 a tres amigos, al día siguiente cada uno de los
amigos pide $500 a otros tres amigos y así sucesivamente.
A) ¿Cuánto dinero se habrá recaudado al 5° día?
B) ¿Cuántas personas colaboraron durante los primeros 5
días?.

Answers

The amount of money collected after 5 days is $181,500

The number of people that collaborated during the first 5

days is 363 people

Calculations and Parameters:

To solve this problem, we would use the Geometric Progression with the formula:

[tex]\frac{a(r^n -1)}{r-1} \\[/tex]

Where:

r= 3

a= 3

n= 5

[tex]\frac{3(3^5 - 1)}{3-1} \\[/tex]

= [tex]\frac{3(243 -1)}{2}[/tex]

121 * 3 = 363 people.

Therefore, the amount contributed is $500 * 363= $181,500

Read more about geometric progression here:

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A line that passes through the points (x, 4) and (6, -1) has a slope of 56. what value of x will yield the given slope?

Answers

The value of x that yields a slope of 56 is 6.09

How to determine the value of x?

The given parameters are:

Slope = 56Points: (x,4) and (6,-1)

The slope of two points is:

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

This gives

[tex]\frac{-1 -4}{6 -x} = 56[/tex]

Evaluate the difference

[tex]\frac{-5}{6 -x} = 56[/tex]

Cross multiply

56(6 - x) = -5

Divide both sides by 56

6 - x = -0.09

Make x the subject

x = 6 + 0.09

Evaluate

x = 6.09

Hence, the value of x that yields a slope of 56 is 6.09