SURFACE AREA OF THIS

Answer:

[tex]Q = 29.3^\circ[/tex]

Step-by-step explanation:

Given

[tex]\angle S = 90[/tex]

[tex]RS = 2.2ft[/tex]

[tex]QR = 4.5ft[/tex]

See attachment for ΔQRS

To calculate <Q, we make use of:

[tex]sin\ Q = \frac{Opposite}{Hypotenuse}[/tex]

Where

[tex]Opposite = RS[/tex]

[tex]Hypotenuse = QR[/tex]

[tex]sin\ Q = \frac{RS}{QR}[/tex]

[tex]sin\ Q = \frac{2.2}{4.5}[/tex]

[tex]sin\ Q = 0.4889[/tex]

Take arc sin of both side

[tex]Q = sin^{-1}(0.4889)[/tex]

[tex]Q = 29.3^\circ[/tex]

Answer:

Volume

Step-by-step explanation:

Answer:

Volume

Step-by-step explanation:

Answer

1.5; log8 22.627

Step-by-step explanation:

Answer:

Jackson has 9 apples left

Step-by-step explanation:

19 - 10 = 9

Answer:

x+2y=4

Step-by-step explanation:

y=-1/2x+2 multiply both sides by 2

2y=-1x+4

2y+x=4 or x+2y=4 standard form

Answer:

c=0.35m+9

$11.45

Answer:

10x3=30

Step-by-step explanation:

X=2 is 10 and x=5 is 30.

10 is the factor of 30, and 10 could be multiplied by 3 to get 30.

OR 30 could be divided by 10, and you‘ll get 3.

Hope this helped! :)

Please at least give Thanks.

Answer:

1) y=4/5x-8

3) y=7/5x -2

Step-by-step explanation:

Slope- intercept form is y=mx+b (y = (slope)x+ (y-intercept))

I hope this helps :)

Step-by-step explanation:

let the ratio 7:8 be 7x and 8x.

now

7x+8x=30

or, 15x=30

or, x= 30/ 15

or, x= 2

here

no. of boys = 7x= 7*2 = 14

no. of girls= 8x = 8*2= 16

hope this helps u...

Answer:

16 girls

Step-by-step explanation:

sum the parts of the ratio, 7 + 8 = 15 parts

Divide the number of pupils by 15 to find the value of one part of the ratio.

30 ÷ 15 = 2 pupils ← value of 1 part of the ratio, then

8 parts = 8 × 2 = 16 ← number of girls

Answer:

640 bagels

Rate: 40bagels/hour

Step-by-step explanation:

If the baker's at a bakery can make 160 bagels in 4 hours, then;

160 bagels = 4 hours

To calculate the amount the baker can bake in 16hours, we can write;

x bagels = 16hours

Divide both expressions

160/x = 4/16

160/x = 1/4

Cross multiply

x* 1= 160 * 4

x = 640

Hence the baker can bake 640 bagels in 16hours

To know the rate per hour, we can write;

x bagel = 1hr

Recall that; 160bagels = 4 hours

Cross multiply

x * 4 = 1 * 160

4x = 160

x = 160/4

x = 40

Hence the rate per hour is 40bagels/hour

Step-by-step explanation:

1)91°(Corresponding)

2)98°(Alternate Exterior)

3)118°(Vertically Opposite Angles,Interior On the same side of the transversal,Vertically Opposite Angles)

4)53°(Alternate Interior)

5)112°(Corresponding)

6)88°(Alternate Exterior)

7)62°(Alternate Interior)

8)73°(Vertically Opposite Angles,Interior on the same side of the transversal,Vertically Opposite Angles)

Answer:

A = 24 cm²

Step-by-step explanation:

The area (A) of Δ ABC is calculated as

A = [tex]\frac{1}{2}[/tex] × AB × AC

Calculate AC using Pythagoras' identity

AC² + AB² = BC²

AC² + 6² = 10²

AC² + 36 = 100 ( subtract 36 from both sides )

AC² = 64 ( take the square root of both sides )

AC = [tex]\sqrt{64}[/tex] = 8

Then

A = 0.5 × 6 × 8 = 24 cm²

Answer:

the answer is 5

Step-by-step explanation:

it is right jk

Answer:

Step-by-step explanation:

We know area of a rectangle is xy where x and y are its dimensions.

A=xy

If we factor the area we will get the dimensions.

A=15k^4+35k^3+20k^2

(this can be factored in many ways to produce the same area, the answer choices you are given can be any given combination of factors.)

A=15k^4+15k^3+20k^3+20k^2

A=15k^3(k+1)+20k^2(k+1)

A=(15k^3+20k^2)(k+1) (this is one way)

A=5k(3k^2+4k)(k+1)

A=(3k^2+4k)(5k^2+5k) (and another way)

Either expression would give you width and length (or length and width) as they all produce the area of the original equation.

Answer:

17 problems.

Step-by-step explanation:

19 + 9 = 28

(Amanda is in the afternoon class, so she gets 9 more homework assignments than the morning class, which gets 19.)

28 - 11 = 17

(Amanda has already completed 11 homework problems.)

1,2,13,26

Theses are the factors of 26

    26

------------

1      |     26

2     |     13

1,2,13,26

---

hope it helps

Answer:

speed

time

faster

greater

You can fill in these words in the blanks.

Answer:

7/8 feet

Step-by-step explanation:

In order to add two frctions you need to make their denominator the same,

3/8 can be kept as it is and we can multiply the top and bottom of 1/2 by 4 in order to ger 4/8. Now it is easier to add together,

3/8 + 4/8= 7/8

Answer:

139

Step-by-step explanation:

180 = x + 64+45

therefore: x = 139

Answer:

x = 109

Steps:

the sum of triangle angles is 180, and since the x is an exterior angle then 180-(64+45) = 71 and since it is an exterior angle then 180-71 = 109.

The conversion of CIX from roman numeral to Hindu-arabic form is; 109

We are given the roman numeral; CIX

Now, in roman numerals we know that;

C = 100

IX = 9

Thus, we can express the given roman numeral as;

CIX = 100 + 9

CIX = 109

Read more about Roman Numerals at; https://brainly.com/question/17380759

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Answer:

circle

Step-by-step explanation:

the answer is circle!!!

The diagonal cross-section of a basketball  is Circle.

When a plane cuts a sphere from any point on it, we get a circle. The size of the cross section may vary depending on the point of intersection of plane and sphere. If the plane passed through the center of sphere, then it divides the sphere into two equal parts (i.e. hemisphere).

According to the question

The diagonal cross-section of a basketball

as basketball is sphere in shape

And , The diagonal cross-section of a sphere  is Circle.

Hence, The diagonal cross-section of a basketball  is Circle.

To know more about diagonal cross-section here:

https://brainly.com/question/2515278

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Answer:

Rearrange Inequalities

0<= A <=40

0<= B <= 40

A <= -B + 40

A <= -2B + 50

Acres:: A + B <= 40

Seed:: 10A + 20B <= 500

Profit function:: P = 110A + 40B

Step-by-step explanation:

Answer:

the farmer should plant 40 acres of crop B.

Step-by-step explanation:

The restriction equations are:

x + y = 40 acres (1) (for areas; x = the area for crop A; y = the area for crop B).

10x + 20y = 700 (2) for the seed cost

or

x + 2y = 70

We have the following system of equations:

x + y = 40  

x + 2y = 70  

The additional obvious restrictions are x >= 0 and y >= 0.

The objective function is the profit:

F(x, y) = 60x + 70y

According to the conception/ideology of the linear programming method, we need to evaluate the  

objective function F(x, y) = 60x + 70y in three points (corner points):

(0, 40), (35, 0) and (10, 30)

We need to find the point where the objective function is maximal:

F(0, 40) = 60*0 + 70*40 = $2,800

F(35, 0) = 60*35 + 70*0 = $2,100

F(10, 30) = 60*10 + 70*30 = $2,700

Follows, the farmer should plant 40 acres of crop B.

Answer:

Step-by-step explanation:

Number of animals after 5 years:

The length of a diagonal of the square is 21cm.

A square can have two diagonals. Each of the diagonal can be formed by joining the diagonally opposite vertices of a square.

A square has a side length of 15 cm.

The following is closest to the length of a diagonal of the square is;

[tex]\rm d^2 =15^+15^2\\\\d^2=225+225\\\\d^2=450\\\\d=21[/tex]

Hence, the length of a diagonal of the square is 21cm.

Learn more about diagonal here

https://brainly.com/question/14735698

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Answer:

7.7 m

Step-by-step explanation:

let's give the tree height T

T = 1.72 × (18.77+5.38)/5.38

T = 1.72 × 24.15/5.38

T = 41.538/5.38

T ≈ 7.7 m

Answer:

the sum of angles JMK and KML is

( 160 + 90)°

= 252°

Hope it helps :)

Step-by-step explanation:

Answer:

30.667, in 1 hour = 40 miles

Step-by-step explanation:

Set up a proportion so 1.5 miles / 2.25 minutes.

So 1.5/2.25 = x/46

solve for x 1.5(46)/2.25 = x so x = 30.667

In one hour is 60 minutes so  1.5(60)/2.25 = x

Answer:

3x - 5

Step-by-step explanation:

If the area of a rectangular garden is 12x²−20x. What is the length if the width is 4x?

The formula for the Area of a rectangular shape = Length × Width

Area = 12x² - 20x

Length = 4x

Width = Area/Length

Width = 12x² - 20x/4x

Width = 12x²/4x - 20x/4x

Width = 3x - 5

The width of the Rectangular shape = 3x - 5