solve the hypotenuse

Solve The Hypotenuse

Answers

Answer 1

Answer:

11.7

Step-by-step explanation:

Using the cosine ratio, then

cos40° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{9}{h}[/tex]

Multiply both sides by h , the hypotenuse

h × cos40° = 9 ( divide both sides by cos40° )

h = [tex]\frac{9}{cos40}[/tex] ≈ 11.7 ( to the nearest tenth )


Related Questions

PLEASE HELP!! 20 points :)

Answers

Answer:

25

Step-by-step explanation:

God I hate these xD

I am gonna try my best to explain how to do this :)

I'm having trouble with figuring out a question in algebra. It is: 1/8 times x = 1.

Answers

Answer:

8

Step-by-step explanation:

answer is 8 because 1/8 times 8 equals 1

Hhhhhhhhhhhhhhhhhhhhhhh

Answers

Answer:

A

Step-by-step explanation:

Answer:a

Step-by-step explanation:

what is the absolute value of 5+|-6|​

Answers

5+|-6|

5+6

11

...

...

..

..

Final answer:

The absolute value of -6 is 6, so the value of the expression 5 + |-6| is 11.

Explanation:

The absolute value of a number is its distance from zero on a number line, regardless of direction.

Hence, the absolute value of -6 is 6. Now let's solve the expression 5 + |-6|.

First, we find the absolute value of -6, which is 6. Adding this to 5, we get:

5 + |(-6)| = 5 + 6 = 11.

Thus, the absolute value of 5 + |-6| is 11.

If each point in the diagram can act as an endpoint, how many distinct line segments can be formed using the set of points
A. Three
B. Four
C. Five
D. Six

Answers

Answer:

Option D 6 is the answer.

Step-by-step explanation:

the given points are A, D, C and B. If each point in the diagram can act as end points, we have to calculate number of distinct line segments formed.

This ca be calculated in two ways.

(1) We will form the line segments

AB, AC, AD, BC, BD, DC

Therefore 6 segments can be formed.

(2) By combination method

Number of segments = [tex]^{4}C_{2}[/tex]

= [tex]\frac{4!}{2!2!}=\frac{4\times 3\times 2\times 1}{(2\times 1)\times (2\times 1)}[/tex]

= [tex]\frac{4\times 3}{2\times 3}=\frac{12}{2}[/tex]

= 6

Option D 6 is the answer.

Answer:

6

Step-by-step explanation:

possible points are:

ad

ac

ab

dc

db

cb

For a small music concert, each child in attendance will get a free toy trumpet. Five adults are expected for every 2 children. Find how many children are expected if there are 15 adults, 25 adults, and 40 adults.

Answers

Answer:

If there are 15 adults we can expect 6 children, for 25 adults we can expect 10 children, and for 40 adults we can expect 16 children.

If the measure of angle 3 =119 degrees,then the measure of angle 6=

Answers

I think it’s 61 degrees.


[tex]x + 119 = 180 \\ x = 61 \\ < 6 = 61[/tex]

Suppose f(x) = x^2+2. Find the graph of f(2/3x)

Answers

Answer:

The answer is graph 4.

Step-by-step explanation:

I literally just guessed it and got it right lol. Stay safe, ya’ll.

plz help 13 points! Math 7th grade

Answers

The correct answer is D ) -2

Answer:

the awnser is D

Step-by-step explanation:

Which of the following shows 2.684 rounded to the nearest hundredth

A. 2.68

B. 2.69

C. 2.70

D. 3.00

Answers

The answer would be A

Final answer:

To round 2.684 to the nearest hundredth, you look at the third decimal place. Since it's a 4, you don't round up, keeping the second decimal at 8. The rounded number is 2.68.

Explanation:

To round the number 2.684 to the nearest hundredth, we need to look at the third digit after the decimal point, which is 4 in this case. Since the third digit (4) is less than 5, we do not round up the second digit. Therefore, the second digit after the decimal remains as 8, and the number 2.684 rounded to the nearest hundredth is 2.68.

So, the correct answer from the options provided is:

A. 2.68

Which set of three angles could represent the interior angles of a triangle?

A.49,59,72
B.28,58,62
C.39,89,108
D.45,70,85

Answers

the sun interior angles of a triangle must be equal to 180degrees

option A 49, 59, 72 is the only one where the sum of the angles equal to 180 degrees

The set of three angles 49,59,72 represents the interior angles of a triangle option (A) is correct.

What is the triangle?

In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

We have:

Set of three angles:

The triangle's interior angles add up to 180°.

A.49,59,72

= 49 + 59 + 72

= 180(interior angles of a triangle)

B.28,58,62

= 28 + 58 + 62

= 148 (not an interior angles of a triangle)

C.39,89,108

= 39 + 89 + 108

= 236 (not an interior angles of a triangle)

D.45,70,85

= 45 + 70 + 85

= 200 (not an interior angles of a triangle)

Thus, the set of three angles 49,59,72 represents the interior angles of a triangle option (A) is correct.

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The population of the United States is 3 × 108 people, and the population of the world is 6.9 × 109 people. How many times larger is the world population? Write your answer in standard notation.

Answers

Final answer:

The world population is approximately 23 times larger than the population of the United States.

Explanation:

The question is asking how many times larger the world population is compared to the population of the United States. You can determine this through division. In this case,
6.9 × 109 (the world population) divided by 3 × 108 (the US population) equals approximately 23. This means that the world population is approximately 23 times larger than the population of the United States.

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The answer is expressed in standard notation as 23.

To calculate how many times larger the world population is compared to the United States, we divide the world population by the population of the United States. Given the world population as 6.9 × 10^9 people and the U.S. population as 3 × 10^8 people, we perform the following calculation:

6.9  × 10^9 ÷ 3 × 10^8 = 23 times larger.

When we divide these two numbers, we subtract the exponents (since the bases are the same) resulting in 10^1, which is just 10. Multiply the non-exponential part: 6.9 ÷ 3, which equals 2.3. Therefore, 2.3 × 10 tells us that the world population is 23 times larger than the population of the United States. To write this in standard notation, we simply say the world population is 23 times larger.

Is any whole number with 5 digits greater than any whole number with 4 digits

Answers

Answer:

Yes

Step-by-step explanation:

If you had 52,134 and 7,623, which one is greater? 52,134 because its in the ten thousands and 7,623 is in the thousands.

Find the surface area , please explain how you solved it.

Answers

The answer is 930 m^2. First, find the areas of each individual partbod the prism. The two side triangles would each be (5x12)/2. The back would be 5x29. The top would be 13x29. The bottom would be 12x29. Now add all of these together and you would get 930 m^2.

A line described by the equation -4x + Y = 2 is graphed on a coordinate plane. Which equation describes the graph of a line passing through the point (-1, 3) and parallel to the line described by -4x + y = 2?

Answers

Answer:

D

Step-by-step explanation:

We know that parallel lines have equal slopes.

Let's transform the given equation to the form y = mx + b to find the slope (m is the slope). Shown below:

[tex]-4x+y=2\\y=4x+2[/tex]

So the slope is 4. Hence the parallel line will have a slope of 4.

Now we can write the equation of the parallel line as :

[tex]y=4x+c[/tex]

Since the line goes through (-1,3), we can plug in -1 into x and 3 into y to find out c:

[tex]y=4x+c\\3=4(-1)+c\\3=-4+c\\3+4=c\\c=7[/tex]

Now we know both m and c, so the equation of the parallel line is:

[tex]y=4x+7[/tex]

Answer choice D is right.

20) Use the distributive property to factor the expression. 10xz − 20yz A) z(10x − 20y) B) 10(xz − 2yz) C) 10z(x − 2y) D) xyz(10 − 20)

Answers

Answer:

C. 10z(x - 2y)

Step-by-step explanation:

10xz − 20y

Factor the terms

Factors of 10xz   =          2 ×       5 × x ×        z

Factors of -20yz = (-1) × 2 × 2 × 5 ×        y × z

Identify their greatest common factor

The common factors are 2, 5, and z. The greatest common  factor is 10z.

Rewrite them with the GCF as a factor

 10xz = 10z ×     x

-20yz = 10z × (-2y)

Replace the terms in the original expression with the factored terms

10xz − 20yz = 10z(x) + 10z(-2y)

Use the distributive property to isolate the greatest common factor

10z(x) + 10z(-2y) = 10z(x - 2y)

HELP ME PLZ
(50 POINTS)

Answers

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

The formula for circumference is [tex]\pi d[/tex]

1) [tex]\pi d = 31.4[/tex]

Divide both sides by [tex]\pi[/tex]

d = 9.99 (consider this to be 10)

Half this to find the radius

10/2 = 5

It would be figure B.

2) [tex]\pi d = 37.68[/tex]

Divide both sides by [tex]\pi[/tex]:

d = 11.99 (consider this to be 12)

Divide by 2 to find the radius:

12/2 = 6

It would be figure C.

3) area = [tex]\pi r^2[/tex]

[tex]\pi r^2 = 153.86[/tex]

r^2 = 48.97515909

r = 6.998 (consider this to be 7)

It would be figure D

4) [tex]\pi r^2 = 113.04[/tex]

r^2 = 35.98174

r = 5.998 (consider this to be 6)

It would be figure C.

5) radius = diameter / 2

radius = 3

[tex]\pi (3)^2 = 28.27433[/tex]

It would be option C

Hope This Helps You!

Good Luck (:

Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ

he is right

becasue he knows what he is talking about

Which of the following fractions is equal to 1/4 A.12/60 B.48/12 C.36/108 D.26/104 E.17/50​

Answers

The answer is D because if you do 26 divided by 104 then you get .25 which is equivalent to 1/4

Answer:

The correct choice is  D. 26/104

Step-by-step explanation:

By the simplification of fractions we get

26 / 104 as 1/4

See the attached figure

two cars are traveling in the same direction. The first car is going 40 mi/h, and the second car is going 55 mi/h. the first car left 3 hours before the second car. which equation could you solve to find how many hours it will take for the second car to catch up to the first car?

Answers

Answer:

8 hours

Step-by-step explanation:

first car: speed=40, time=(t+3), distance=s1

second car: speed=55, time=t, distance=s2

speed=distance/time

distance=speed×time

s1=40×(t+3)

s2=55×t

since the cars would travel the same distance; s1=s2

40(t+3)  = 55t

40t+120 = 55t

15t = 120

t=8

How many cubes fit into a rectangle

Answers

No one, due to cube is 3D and rectancle 2D

Best regards

-0.2x^2+0.9x+0.6=y
What's the vertex form for this equation?​

Answers

Answer:   y = -0.2(x - 2.25)² + 1.6125

Step-by-step explanation:

[tex]y = -0.2x^2 + 0.9x + 0.6\\\\y - 0.6 = -0.2x^2 + 0.9x\\\\y - 0.6 =-0.2(x^2-4.5x)\\\\y-0.6+\underline{(-0.2)(2.25)^2}=-0.2(x^2-4.5x+\underline{2.25^2})\\\\y-0.6-1.0125=-0.2(x-2.25)^2\\\\y-1.6125=-0.2(x-2.25)^2\\\\y=-0.2(x-2.25)^2+1.6125[/tex]

Defining congruent triangles

Answers

Answer:

E -->R

D-->K

O-->O

Step-by-step explanation:

Assuming you are asking for congruent parts, correspondence is the part which corresponds and is also equal.

Here Angle E corresponds and is congruent to Angle R in these congruent triangles.

Angle D is congruent and corresponds to Angle K for these congruent triangles.

Angle O is equal to Angle O as they are vertical angles across a vertex.

Final answer:

Congruent triangles, in mathematics, are triangles that are of the same size and shape, meaning their corresponding sides and angles are equal. An example would be two triangles each with sides of 3, 4, and 5 units.

Explanation:

In mathematics, specifically in geometry, congruent triangles are defined as triangles that have the same size and shape. This means that their corresponding sides are of equal length, and their corresponding angles are of equal measure. The concept of congruence is important in many aspects of geometry, including the study of shapes, symmetry, and transformations.

Examples of Congruent Triangles:

If we have two triangles, Triangle A (with sides of 3, 4, and 5 units respectively) and Triangle B (with sides of 3, 4, and 5 units as well), these two triangles are congruent, as the lengths of their corresponding sides are equal. You could rotate, flip or move one to coincide exactly with the other, showcasing their congruency.

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Triangle ABC has measures a equals 2 b equals 2 and angle a equals 30 degrees what is the measure of angle B

Answers

Hello!

The answer is: Angle B is 30°

Why?

Since we know that both sides, a and b are equal to 2, and angle A is equal to 30°, we can conclude that angle B is also equal to 30°. Also, we can know that the other angle (C) will be equal to 120° since the sum of all the angles in a triangle will be always equal to 180°.

Have a nice day!

Answer:

B: 30 degrees

Step-by-step explanation:

a=2

b=2

<b = 30

Please help me o have to turn this in tomorrow and I don’t want to fail

Answers

B=5 units that is the answer

Plz help me i need it

Answers

Answer:

13x^3-2x^2+3x+13

Step-by-step explanation:

you add the like terms. For example, you can add 3x^2 and 2x^2, but not 6 and 2x^2.

Answer:   13x³ - 2x² + 3x + 13

Step-by-step explanation:

  5x³ + 3x² - 5x + 4

+ 8x³ - 5x² + 8x + 9

13x³ - 2x² + 3x + 13

What is 77,543 rounded to the nearest ten?

Answers

Answer:

77,540

Step-by-step explanation:

Since 3 is less than 4, we round down a ten. This comes out to 77,540.

The Answer Would Be:

77,540

If a pitch from a moving vehicle sounds lower to a hearer, where is the vehicle in relations to the hearer? A. Past the hearer B. Before the hearer C. Above the level of the hearers ear D. Below the level of the hearers ear

Answers

Answer:

a

Step-by-step explanation:

give the other kid brainiest

one third the difference of two number is 12. if the larger number is 9, what is the sum of the two numbers

Answers

x=smaller number

y=larger number

x+y=12

y=3x-6

Let's begin with the first equation...

x+y=12

Let's substitute...

x+(3x-6)=12

4x-6=12

Let's add 6 to both sides as we proceed to isolate x...

6+4x-6=12+6

4x=18

Let's divide both sides by 4...

(4x)/4=18/4

x=9/2=4.5---smaller number

12-4.5=7.5s larger number

Answer:

The sum of the two numbers is -18.

Step-by-step explanation:

You can work your way through the problem starting with ...

1/3 the difference of two numbers is 12

Since 3 times 12 is 36, the difference of the two numbers is 36.

Then you are told ...

the larger number is 9

so the smaller number will be 9 less the difference, or ...

smaller number = 9 - 36 = -27.

Now, you know both numbers, so you know there sum is ..

9 + (-27) = -18 . . . . . sum of the two numbers

_____

You can work it also using L for the larger number, D for the difference. Then the smaller number is (L-D) and the sum is ...

sum = L + (L -D) = 2L - D

Filling in the values given for the larger number and the difference, you have ...

sum = 2·9 - 3·12 = 18 -36 = -18 . . . . . as before

A can of tuna fish is a cylinder with a height of 1.75 inches and a diameter of 3 inches. If the can is half full, how many cubic inches of tuna is in the can?

Answers

Answer: [tex]6.185in^3[/tex]

Step-by-step explanation:

The formula for calculate the volume of a cylinder is:

[tex]V_{cylinder}=\pi r^2h[/tex]

r is the radius of the cylinder and h is the height of the cylinder.

Given the diameter of 3 inches, calculate the radius of the cylinder with:

[tex]r=\frac{d}{2}[/tex] (Where d is the diameter)

 [tex]r=\frac{3in}{2}=1.5in[/tex]

Knowing the height and the radius, you can calculate the volume of the entire can of tuna:

[tex]V_{can}=\pi (1.5)^2(1.75in)=12.37in^3[/tex]

As you want to know the cubic inches of tuna that are in the can (volume of tuna), and you know that the can is half full, then:

[tex]V_{tuna}=\frac{V_{can}}{2}\\\\V_{tuna}=\frac{12.37in^3}{2}\\\\V_{tuna}=6.185in^3[/tex]

Answer:

Step-by-step explanation:

jaz its alexis

Two kinds of perfume are packaged in square pyramidal bottles. Perfume A is packaged in a bottle with a base of 3 inches square and a slant height of 2.5 inches. Perfume B is packaged in a bottle with a base 2.5 inches square and has a slant height of 3 inches. Which bottle contains more glass?

Answers

Answer:

The bottle of perfume A contains more glass

Step-by-step explanation:

we know that

The surface area of the square pyramid is equal to the area of the square base plus the area of its four triangular faces

step 1

Find the surface area of Perfume A

[tex]SA=3^{2} +4[\frac{1}{2}(3)(2.5)]=24\ in^{2}[/tex]

step 2

Find the surface area of Perfume B

[tex]SA=2.5^{2} +4[\frac{1}{2}(2.5)(3)]=21.25\ in^{2}[/tex]

step 3

Compare the surface areas

[tex]24\ in^{2}>21.25\ in^{2}[/tex]

therefore

The bottle of perfume A contains more glass

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