base: h=10cm, b=12cm

face 1: l=11cm, w=15.6cm

face 2: l=11cm, w=12cm

face 3: l=10cm, w=11cm



Enter numerical value only.

SA = _____ cm2

Base: H=10cm, B=12cmface 1: L=11cm, W=15.6cmface 2: L=11cm, W=12cmface 3: L=10cm, W=11cmEnter Numerical

Answers

Answer 1

The surface area of the triangular prism is 533.6 cm².

Surface area of a triangular prismSA = bh + (x + y + z)l

where

b and h are the base and height of the triangular base. Therefore,

b = 12 cmh = 10 cm

Therefore,

x = 12 cm

y = 10 cm

z = 15.6 cm

l = 11 cm

Therefore,

SA = 12 × 10 + (12 + 10 + 15.6)11

SA = 120 + (22 + 15.6)11

SA = 120 + (37.6)11

SA = 120 + 413.6

SA = 533.6 cm²

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Related Questions

1. 5m + zm + 5n + zn

Answers

Answer:

The question is not clear. Is this the complete question?

If the height of a parallelogram is 64.3 m and the base is 4.3m, what is the area of the parallelogram?

Answers

Answer:

Formula for area of a parallelogram;

a = bh

where b is the base, and h is the height

Our height is 64.3

Our base is 4.3

Now we multiply them:-

a = bh

a = 4.3 x 64.3

a = 276.49^2 meters

A teacher has a large container of blue, red, and green beads. She reports to the students that the proportion of blue beads in the container is 0. 30. The students feel the proportion of blue beads is lower than 0. 30. A student randomly selects 60 beads and finds that 12 of the beads are blue. The P-value for the test of the hypotheses, H0:p=0. 30 and Ha:p<0. 30, is 0. 45. What is the correct interpretation of this value?


There is a 4. 5% chance the proportion of blue beads in the container is 0. 3.

Assuming the true proportion of blue beads in the container is 0. 30, there is a 4. 5% probability that the null hypothesis is true.

Assuming the true proportion of blue beads in the container is 0. 30, there is a 4. 5% probability that the sample proportion would be 0. 20 or less by chance alone.

Assuming the true proportion of blue beads in the container is less than 0. 30, there is a 4. 5% probability that the sample proportion would be 0. 20 or less by chance alone

Answers

Answer: C

Step-by-step explanation:

P - Value

Is the evidence against the null hypothesis.

The lower the p-value, the greater the chance of rejection of the null hypothesis.

The greater the p-value, the greater the chance to accept the null hypothesis.

So, in other words, the question asks the probability of having accepted a null hypothesis.

So using the above statement we can say that statement C is true.

Adam must fly home to city A from a business meeting in city B. One flight option flies directly to city A from​ B, a distance of about 467.3 miles. A second flight option flies first to city C and then connects to A. The bearing from B to C is N28.7​E, and the bearing from B to A is N60.7E. The bearing from A to B is S60.7​W, and the bearing from A to C is N79.1W. How many more frequent flyer miles will Adam receive if he takes the connecting flight rather than the direct​ flight?

Answers

Answer:

The value  is  [tex] k =109.6 \ miles [/tex]

Step-by-step explanation:

The diagram illustrating the question is shown on the first uploaded image

From the question we are told that

   The distance from city A to B is   AB =  467.3 miles

   The bearing from B to  C is  [tex]\theta_{BC} =  N 28.7E[/tex]

   The bearing from B to  A is  [tex]\theta_{BA} =  N 60.7E[/tex]

   The  bearing from A to  B is   [tex]\theta_{AB} =  S60.7W[/tex]

    The  bearing from A to  C is   [tex]\theta_{AC} =  S79.1W[/tex]

Generally from the diagram

     [tex]\theta_A  =  180 - 60.7 -79.1[/tex]

=>  [tex]\theta_A  =  40.2 ^o[/tex]

Also

     [tex]\theta_B  =  32^o [/tex]

and  

      [tex]\theta_C  =  180 - (\theta_A  +\theta_B )[/tex]

=>   [tex]\theta_C  =  180 - (40.2  + 32 )[/tex]

=>   [tex]\theta_C  =  107.8 ^o[/tex]

Generally according to Sine Rule

     [tex]\frac{BC}{sin (\theta_A)}  = \frac{CA}{sin (\theta_B)} =\frac{AB}{sin (\theta_C)}[/tex]

=>   [tex]\frac{BC}{sin (40.2)}  = \frac{CA}{sin (32)} =\frac{467.3 }{sin (107.8)}[/tex]    

So

     [tex]\frac{BC}{sin (40.2)}  = \frac{467.3 }{sin (107.8)}[/tex]

=>  [tex]BC = 316.8 \ miles[/tex]

Also  

    [tex]\frac{CA}{sin (32)} =  \frac{467.3 }{sin (107.8)}[/tex]

    [tex]CA = 260 .1 \ miles [/tex]

Generally the additional flyer miles that Adam will receive if he takes the connecting flight rather than the direct​ flight is mathematically represented as

      [tex]k = [CA +BC]  - AB [/tex]

=>     [tex] k = [260 .1 +316.8]- 467.3 [/tex]

=>  [tex] k =109.6 \ miles [/tex]

A student purchases candy bars costing $1.46 each, including tax. She pays with a $20 bill and receives $8.32 back in change. How many candy bars does the student purchase?

Answers

Answer:

she purchased 8 candy bars

Step-by-step explanation:

first I would do 20-8.32=11.68

then i do 11.68 divided by 1.46=8

Which expression is equivalent to 9–2? –81 –18 startfraction 1 over 81 endfraction startfraction 1 over 18 endfraction

Answers

Answer:

Startfraction 1 over 81

Step-by-step explanation:

Answer:

C on edge

because i said so

A balance scale is perfectly balanced with 2 cans of soda on one side and 1 can of soda and 8 ounces of sand on the other . How much does each can of soda weigh?

Answers

The balance scale is perfectly balanced when it sits perfectly

The weight of each can of soda is 8 ounces

How to determine the weight of the soda can

Represent the weight of the can with x.

On the first side, where there are 2 cans of soda.

The weight is 2x

On the other side, where there is 1 can of soda and 8 ounces of sand

The weight is x + 8

Since the balance scale is perfectly balanced, then we have the following equation

2x = x + 8

Subtract x from both sides

x = 8

Hence, the weight of each can of soda is 8 ounces

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On this problem you have to state the problem and simplify the expression

Answers

The problem is that when they distributed they added -6 + 3 which does equal 9 but, you multiply when there is parenthesis.

When the expression is correctly simplified, the answer is: x - 6

DVDs are on sale for $28 each. Felipe writes the expression 5 × 28 to find the cost in dollars of buying 5 DVDs. How can you rewrite Felipe's expression using the Distributive Property? Felipe's expression can also be written as (5 × 20) + (5 × )

Answers

Answer:

Felipe's expression using the Distributive Property can be written as

5 × 28 = 5( 20 + 8)

5 × 28 = (5 × 20) + (5 × 8)

Step-by-step explanation:

Distributive property states that:

a( b + c) = ab + ac

We are told in the question that:

DVDs are on sale for $28 each. Felipe writes the expression 5 × 28 to find the cost in dollars of buying 5 DVDs.

Therefore:

Felipe's expression using the Distributive Property can be written as:

5 × 28 = 5( 20 + 8)

5 × 28 = (5 × 20) + (5 × 8)

b. What does the symbol QR represent?
A)line segment QR
B) angle QR
C) ray QR
D)line QR

Answers

Answer:

A or c

Step-by-step explanation:

it's one of dem I done dis on ireasy not the same thing tho

will give brainliest

Answers

Answer:

A' = ( 3+1,2+2) =(4,4)

B'=(4+1,5+2)=(5,7)

C'=(6+1,3+2)=(7,5)

hope you like the answer

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Answer this, please!
Help!!!

Answers

Answer:

64 degrees.

Step-by-step explanation:

Angle AC forms a straight line, which means it will be 90 degrees. We know the angle of AE is 26, and angle EF is 90 degrees, indicated by the small square in the corner. You take 180 (angle AC) - 26 (angle AE) 90 (angle EF) and are left with 64.

At the amusement park, the Ferris wheel is located 95 feet east and 156 feet north of the entrance. The swings are located 23 feet west and 124 feet north of the entrance. If Jalen is standing exactly three-eights the distance from the Ferris wheel to the swings, to the nearest hundredth of a foot, find the direct distance between Jalen and the entrance. (Round your answer to the nearest tenth)

Answers

Answer:

120.62 feet

Step-by-step explanation:

Let the entrance be the origin (0,0). If  the Ferris wheel is located 95 feet east and 156 feet north of the entrance, its coordinates are (95, 156). If the swings are located 23 feet west and 124 feet north of the entrance, its coordinates are (-23, 124).

We now find the distance from the swing to the Ferris wheel which for a pair of coordinates (x₁, y₁) and (x₂, y₂) is gotten from d = √[(x₂ - x₁)² + (y₂ - y₁)²] where (x₁, y₁) = (-23, 124) and (x₂, y₂) = (95, 156).

So, d = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(95 - (-23))² + (156 - 124)²]

= √[(95 + 23))² + (156 - 124)²]

= √[(118)² + (32)²]

= √[13924 + 1024]

= √14948

= 122.26 feet

Since Jalen is standing exactly three-eights the distance from the Ferris wheel to the swings, his distance from the Ferris wheel is d' = 3d/8 = 3 × 122.26/8 = 45.85 feet

To find the coordinates (x', y') of Jalen's point from the entrance, we subtract his distance from the Ferris wheel from the coordinates of the point of the Ferris wheel. So, (x', y')  = (95 - 45.85, 156 - 45.85) = (49.15, 110.15).

So, Jalen's distance from the entrance is gotten from

d = √[(x₂ - x₁)² + (y₂ - y₁)²] where (x₁, y₁) = (0, 0) and (x₂, y₂) = (49.15, 110.15).

So, d = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(49.15 - 0)² + (110.15 - 0)²]

= √[(49.15)² + (110.15)²]

= √[‭2,415.7225‬ + ‭12,133.0225‬]

= √‭14,548.745‬

= 120.62 feet

A new car is purchased for 20700 dollars. The value of the car depreciates at 13. 75% per year. What will the value of the car be, to the nearest cent, after 12 years?.

Answers

Answer:

13,452 is the value after 12 years

Step-by-step explanation: because

conner edits 34 pages in 8 hours

Answers

Answer:

good for conner

Step-by-step explanation:

yaaay

That’s awesome does Conner what a medal

What is the value of y?

A. 120°
B. 66°
C. Cannot be determined
D. 60°

Answers

Answer:

60

Step-by-step explanation:

all sides are equal

The value of y is 60. so the answer is D. 60°.

In a triangle, the sum of all angles is always 180 degrees.

If two angles of a triangle are 60 degrees each, the third angle can be found by subtracting the sum of the other two angles from 180 degrees.

So, the third angle would be:

60 + 60 + y = 180

y = 180° - 60° - 60°

y  = 60°

Therefore, the value of the third angle, which is represented by y in this case, is 60°.

Therefore, correct answer is D. 60°.

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I need help with my math homework please!!

Question:There are 4 squares and 6 circles. What is the simplest ratio of squares to circles?

Answers

4:6 simplest is 2:3. 2:3 is the answer. hope this helps!

Which expression is equivalent to 24^1/4

Answers

Answer:

[tex]2\sqrt[3]{3}[/tex]

explanation:

[tex]\rightarrow \sf 24^{\frac{1}{3}}[/tex]

[tex]\rightarrow \sf \sqrt[3]{24}[/tex]

[tex]\rightarrow \sf \sqrt[3]{2*2*2*3}[/tex]

[tex]\sf \rightarrow \left(2^3\cdot \:3\right)^{\frac{1}{3}}[/tex]

[tex]\sf \rightarrow 2\cdot \:3^{\frac{1}{3}}[/tex]

[tex]\sf \rightarrow 2\sqrt[3]{3}[/tex]

Answer:

Step-by-step explanation:

24^(1/3)

=(8*3)^(1/3)

=(8)^(1/3)*(3)^(1/3)

=(2^3)^(1/3)*3^(1/3)

=2*(3)^(1/3)

or [tex]2\sqrt[3]{3}[/tex]

What is the measure of

Answers

Answer: 180 - 143 = 37

37 + 61 + angle b = 180( angle sum property )

b= 180-98

B = 82

Step-by-step explanation:

what is the slope of the line that has a y-intercept of -1?

Answers

Answer:

it should be either x or y

Step-by-step explanation:

you only said one number...

find the value of x plz and thxs will mark brainliest

Answers

Answer:

x = 15

Step-by-step explanation:

The given angles are same- side interior angles and are supplementary, thus

6x + 7 + 3x + 38 = 180, that is

9x + 45 = 180 ( subtract 45 from both sides )

9x = 135 ( divide both sides by 9 )

x = 15

Answer:

x = 15

Step-by-step explanation:

these two angles are actually supplementary, which means they add up to 180.

using this, you can make this equation:

3x + 38 + 6x + 7 = 180

combine like terms.

3x + 6x + 38 + 7 = 180

9x + 45 = 180

subtract 45 from both sides.

9x = 135

divide both sides by 9

x = 15

For a given input value a, the function f outputs a value b to satisfy the following equation.
-3a+6b=a+4b
Write a formula for f(a) in terms of a

Answers

Answer:

ok

Step-by-step explanation:

-3a + 6b = a + 4b

we move both values to the same side

6b – 4b = a + 3a

subtracting 6 from 4 gives us 4, and a 1 plus 3 gives us 4

2b = 4a

divide 4 on both sides to solve for a and to get a by itself.

1/2=a

please mark as brainlest.

Hey there!

Let's solve for a.

[tex] \fbox{−3a+6b=a+4b}[/tex]

Step 1: Add -a to both sides.

[tex] \fbox{−3a+6b+−a=a+4b+−a}[/tex]

[tex] \fbox{−4a+6b=4b}[/tex]

Step 2: Add -6b to both sides.

[tex] \fbox{−4a+6b+−6b=4b+−6b}[/tex]

[tex] \fbox{−4a=−2b}[/tex]

Step 3: Divide both sides by -4.

[tex] \fbox{−4a/−4 = −2b/−4}[/tex]

[tex] \fbox{a= 1/2b}[/tex]

Answer:

[tex] \fbox{a= 1/2b}[/tex]

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Which inequality represents all the solutions of -2(3x + 6) ≥ 4(x + 7)?

A. x ≥ -4
B. x ≤ -4
C. x ≥ 8
D. x ≤ 8

Answers

B. x < -4

-2(3x + 6) > 4(x + 7)

-6x - 12 > 4x + 28

-10x > 40

X < -4

The inequality that represents the solution of -2(3x + 6) ≥ 4(x + 7) is  x ≤ -4, the correct option is B.

What is an Inequality?

An inequality is a statement that is formed when two expressions are joined using an inequality operator.

The inequality is -2(3x + 6) ≥ 4(x + 7)

To find the solutions, the inequality has to be simplified.

Solving the inequality by using Distributive Property,

-6x -12 ≥ 4x +28

Adding (+12) on both sides of the inequality

-6x ≥ 4x +28 +12

Adding (-4x) on both the sides of the inequality

-6x + (-4x) ≥ 40

-10x ≥ 40

Dividing 10 on both the sides

-x ≥ 4

Reversing the sign of the inequality to remove the negative sign of x

x ≤ -4

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PLEASE SOLVE DUE RIGHT NOW!!!!!!!!!!!!

Answers

Solution:

We know that:

[tex]Area \ of \ triangle = \dfrac{1}{2} \times Base \times Height[/tex]

Since we are already given the base and the height, we can substitute them into the formula to find the area of the triangle.

[tex]Area \ of \ triangle = \dfrac{1}{2} \times 18 \times24[/tex]

Cancel out the "2" by dividing it by 18.

[tex]Area \ of \ triangle = 9 \times24[/tex]

Simplify the multiplication.

[tex]\bold{Area \ of \ triangle = 216 \ ft^{2}}[/tex]

estimate the following percentages of 60

10% = ___
25% = ___
50% =___
20% =___

Answers

10% = 6
25% = 15
50% = 30
20% = 12

please help 100 points please

Answers

Solution:

We know that:

Area of trapezoid = (a₁ + a₂)h/2a₁ = 8 inches; a₂ = 8 + 4 + 4 inches; Height = 6 in.

This means that:

Area of trapezoid = (8 + 8 + 4 + 4)6/2

Step-by step calculations:

Simplify the numerator:

Area of trapezoid = (8 + 8 + 4 + 4)6/2=> Area of trapezoid = (24)6/2

Cancel the denominator:

=> Area of trapezoid = (24)3

Simplify the term:

=> Area of trapezoid = 72 in²
Base=8+4+4=16in

Area:-

[tex]\\ \rm\rightarrowtail 1/2(sum\:of\: parallel\:sides) Height [/tex]

[tex]\\ \rm\rightarrowtail 1/2(16+8)(6)[/tex]

[tex]\\ \rm\rightarrowtail 3(24)[/tex]

[tex]\\ \rm\rightarrowtail 72in^2[/tex]

Thirty percent of what number is 13.5?

Answers

Answer:

Well we can take this word for word into an expression

thirty percent of which is basically

0.3 *

We have an unknown number (what number) lets make that unknown number x

0.3 * x

And we want to know what is 13.5 which basically means equal 13.5

0.3 * x = 13.5

We solve for x

Solve from here.

I’m gonna multiply 10 on both sides

3 * x = 135

Now solve

x = 45

The frequency table below shows the amount of left and right handed people there are in the 3rd grade. How many total right handed students are there?

Answers

the answer is 41 because you do 70-29

5 times - 2+7 times +12 ?
[its algebra]

Answers

Answer:

5(-2+7+12)

-10+35+60

-10+95

=85

HELP I NEED 75% of 1300

Answers

Answer: 975

Step-by-step explanation: hope this helped!

Answer:

975

Step-by-step explanation:

Create a proportion. Set 75 over 100 equal to x over 1300. Cross multiply to get 75x1300 = 100x. This will get you 97500 equal to 100x. Divide each side by 100 to get x = 975

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