What is the area of a triangle whose base is 16 m and whose height is 21 m?
74 m2
168 m2
268 m2
336 m2

Answers

Answer 1

Answer:

The answer is

168 m²

Step-by-step explanation:

Area of a triangle is given by

[tex]A = \frac{1}{2} \times base \times height[/tex]

from the question

base = 16 m

height = 21 m

The area is...

[tex]A = \frac{1}{2} \times 16 \times 21 \\ = 8 \times 21 \: \: \: \: \: \: [/tex]

We have the final answer as

168 m²

Hope this helps you


Related Questions

The sum of −4n and 5n is −82

Answers

Hey there! I'm happy to help!

The sum of -4n and 5n.

-4n+5n

is

=

-82

-4n+5n=-82

This simplifies to n=-82.

Have a wonderful day! :D

Vincent mows 8 lawns in 2 hours. How many lawns are mowed in 5 hours?

Answers

Answer: 20 lawns

Work Shown:

8 lawns = 2 hours

4 lawns = 1 hour (divide both sides by 2)

20 lawns = 5 hours (multiply both sides by 5)

Answer: 20 Lawns

If he mows 8 lawns in a span of 2 hours that means he mows 4 lawns in 1 hour. 4 * 5 is 20

5^(-x)+7=2x+4 This was on plato

Answers

Answer:

Below

I hope its not too complicated

[tex]x=\frac{\text{W}_0\left(\frac{\ln \left(5\right)}{2e^{\frac{3\ln \left(5\right)}{2}}}\right)}{\ln \left(5\right)}+\frac{3}{2}[/tex]

Step-by-step explanation:

[tex]5^{\left(-x\right)}+7=2x+4\\\\\mathrm{Prepare}\:5^{\left(-x\right)}+7=2x+4\:\mathrm{for\:Lambert\:form}:\quad 1=\left(2x-3\right)e^{\ln \left(5\right)x}\\\\\mathrm{Rewrite\:the\:equation\:with\:}\\\left(x-\frac{3}{2}\right)\ln \left(5\right)=u\mathrm{\:and\:}x=\frac{u}{\ln \left(5\right)}+\frac{3}{2}\\\\1=\left(2\left(\frac{u}{\ln \left(5\right)}+\frac{3}{2}\right)-3\right)e^{\ln \left(5\right)\left(\frac{u}{\ln \left(5\right)}+\frac{3}{2}\right)}[/tex]

[tex]Simplify\\\\\mathrm{Rewrite}\:1=\frac{2e^{u+\frac{3}{2}\ln \left(5\right)}u}{\ln \left(5\right)}\:\\\\\mathrm{in\:Lambert\:form}:\quad \frac{e^{\frac{2u+3\ln \left(5\right)}{2}}u}{e^{\frac{3\ln \left(5\right)}{2}}}=\frac{\ln \left(5\right)}{2e^{\frac{3\ln \left(5\right)}{2}}}[/tex]

[tex]\mathrm{Solve\:}\:\frac{e^{\frac{2u+3\ln \left(5\right)}{2}}u}{e^{\frac{3\ln \left(5\right)}{2}}}=\frac{\ln \left(5\right)}{2e^{\frac{3\ln \left(5\right)}{2}}}:\quad u=\text{W}_0\left(\frac{\ln \left(5\right)}{2e^{\frac{3\ln \left(5\right)}{2}}}\right)\\\\\mathrm{Substitute\:back}\:u=\left(x-\frac{3}{2}\right)\ln \left(5\right),\:\mathrm{solve\:for}\:x[/tex]

[tex]\mathrm{Solve\:}\:\left(x-\frac{3}{2}\right)\ln \left(5\right)=\text{W}_0\left(\frac{\ln \left(5\right)}{2e^{\frac{3\ln \left(5\right)}{2}}}\right):\\\quad x=\frac{\text{W}_0\left(\frac{\ln \left(5\right)}{2e^{\frac{3\ln \left(5\right)}{2}}}\right)}{\ln \left(5\right)}+\frac{3}{2}[/tex]

How do I solve this problem

Answers

Answer:

2.9309

Step-by-step explanation:

2.9309 is the answer

!SUBSTITUTION METHOD!

6y - 5z = -8
3z = -6
4x - 3y - 2z= 21​

Answers

Answer:

x = 2 y = - 3z = - 2

Step-by-step explanation:

6y - 5z = -8 .......... Equation 1

3z = -6 ................... Equation 2

4x - 3y - 2z= 21...... Equation 3

First solve for z in Equation 2

That's

3z = - 6

Divide both sides by 3

z = - 2

Next substitute the value of z into Equation 1 in order to find y

We have

6y - 5(-2) = - 8

6y + 10 = - 8

6y = - 8 - 10

6y = - 18

Divide both sides by 6

y = - 3

Finally substitute the values of y and z into Equation 3 to find the value of x

That's

4x - 3(-3) - 2(-2) = 21

4x + 9 + 4 = 21

4x + 13 = 21

4x = 21 - 13

4x = 8

Divide both sides by 4

x = 2

So the solutions are

x = 2 y = - 3z = - 2

Hope this helps you

How much work is done when a hoist lifts a 200-kg rock to a height of 3 m?

Answers

Answer:

5880 joules

Step-by-step explanation:

Given data

mass of rock, m= 200 kg

height/distance = 3 m

Now we know that the expression for work done is

w= force* distance

and also we need to find the force exerted by mass of rock

F= mg

Substituting our data and solving for force we have (assuming g= 9.81 m/s^2)

Force= 200*9.81

Force= 1962 N

Now we can find the work done

work done= 1962*3

work done= 5880 joules

The work done should be 5880 joules

Calculation of the work done:

Since there is the mass of the rock is 200 kg

And, the height is 3 m

Now we know that

work done = force (distance)

Also,

F= mg

= 200(9.81)

=  1962 N

Now the work done is

= 1962(3)

= 5880 joules

Hence, The work done should be 5880 joules

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Help i dont understand Pls help :(

Answers

Answer:

x = 1?

Step-by-step explanation:

I think functions are basically just variables but extra so they both act the same. I'm not 100% sure but I Think

if f(x) = -5x + 1 when f(x) = 6,

replace f(x) with 6 so,

6 = 5x + 1

1 - 6 = 5x + 1 - 1

(subtract one on both sides to isolate the variable)

5 = 5x

5/5 = 5x/5

(to Actually isolate the variable lol

1 = x or x = 1

I believe is the answer? please comment if I'm wrong

*I WAS TOLD MY THOUGHT PROCESS IS WRONG ANYONE WHO SEES THIS PLEASE DISREGARD

a rectangular prism is 5 meters long, 2 meters wide, and 2 meters high. what is the sureface area of this prism in square inches?

Answers

Answer:

20 square inches

what is the answer to -5( 8g + -4 )​

Answers

Answer:

-40g+20

Step-by-step explanation:

-5(8g-4)

-40g+20

Which of the following scenarios exhibits a function relation? Take the first set listed to be the domain of the relation.

Answers

Answer:

-the set of people with Social Security cards and the set of Social Security numbers

Explanation:

There's literally no relation between the height of a tree and the number of trees in a forest that can be clearly seen. Same goes to models and people in a certain town. Birthdays and Students in Class definitely have no correlation as isolated pieces of information. The number of people with social security numbers and the amount of numbers in a SS Card, though, have a direct relation, since the number has to be large so the amount of people that need such a number can have unique numeric representations of their Social Security.

greatest 2 factors of 90

Answers

Answer:

45 & 30

Explanation:

30 x 3 = 90.

45 x 2 = 90.

So the two of these are the answers. Hope it helps!

Answer:

45 and 30

Step-by-step explanation:

PLEASE HELP ME I REALLY NEES HELP


Changes of State

Gas

B

Temperature

Solid

Liquid

A

Thermal Energy

4. Suppose the material is being heated.

a. What change of state is represented by line segment A?

b. What is happening to the average kinetic energy of the particles during the

change of state represented by line segment B? Explain.

c. What physical property does the temperature at point B represent? If the

liquid is kept at this temperature what state of matter will be observed?

Explain your answer.

Answers

Answer:

Please find the answer in the explanation

Step-by-step explanation:

Suppose the material is being heated.

a. What change of state is represented by line segment A?

The solid changes to liquid state. The change of state is Melting.

b. What is happening to the average kinetic energy of the particles during the change of state represented by line segment B? The average kinetic energy of the particle increases as the heat is applied but remains constant during the change of state.

c. What physical property does the temperature at point B represent?

Vapourisation.

If the liquid is kept at this temperature what state of matter will be observed?

If the temperature persists, the state of matter that will be observed will be gas. Because the liquid must have turned out to vapour.

3
Liz makes footprints in the snow with her boots that are
foot long. Liz's feet are only
2
3
foot long.
What expression can be used to find out how much longer Liz's boot prints are than her feet?​

Answers

Answer:

See Explanation

Step-by-step explanation:

The question has missing details; However, the following explanation will guide.

Represent the boots print with y and the Liz's feet with x

To calculate how much the boot is longer than her feet, we simply get the difference between the length of the boot's print and her feet;

i.e.

[tex]Difference = y - x[/tex]

Note that her boot print (y) will always be greater than her feet (x)

Take for instance;

[tex]y = 3\ ft[/tex]

[tex]x = 2\ ft[/tex]

The difference will be

[tex]Difference = 3ft - 2ft[/tex]

[tex]Difference = 1ft[/tex]

What is the mean of 6,3,2,1,9,9

Answers

5 you add them all up and then divide by how many number you added


(6+3+2+1+9+9) and then divide by 6

Answer:

[tex]\boxed{ \bold{ \huge{ \boxed{ \sf{5}}}}}[/tex]

Step-by-step explanation:

Given data : 6 , 3 , 2 , 1 , 9 , 9

Σfx = 6 + 3 + 2 + 1 + 9 + 9 = 30

N ( total number of observation ) = 6

Finding the mean

[tex] \boxed{ \sf{mean = \frac{Σfx}{N} }}[/tex]

[tex] \dashrightarrow{ \sf{mean = \frac{30}{6} }}[/tex]

[tex] \dashrightarrow{ \sf{mean = 5}}[/tex]

Hope I helped!

Best regards! :D

What are the next two terms in this sentence? 5, 10, 20, 40

Answers

Answer:

80, 160

Step-by-step explanation:

It's just multiplying the last term by 2.

Answer:

80 and 160

Step-by-step explanation:

5 × 2 = 10

10 × 2 = 20

20 × 2 = 40

40 × 2 = 80

80 × 2 = 160

Hope it helps!

PLEASE HELP QUICKLY!!!

Answers

Answer:

Option (2)

Step-by-step explanation:

We have to arrange the given numbers in the order from least to greatest.

Numbers are [tex]\sqrt{64},8\frac{1}{7},8.1414..., \frac{15}{2}[/tex]

1). [tex]\sqrt{64}=8[/tex]

2). [tex]8\frac{1}{7}=\frac{57}{7}=8.143[/tex]

3). 8.1414....

4). [tex]\frac{15}{2}=7.5[/tex]

Therefore, increasing order of the numbers will be,

[tex]8.143>8.1414>8>7.5[/tex]

[tex]8\frac{1}{7}>8.1414...>8>7.5[/tex]

Option (2) will be the correct option.

Explain how rays AB and AC form both a line and an angle.
A line with points C, A, B has arrows for endpoints.

Answers

Answer:

An angle is defined as two rays with a common endpoint, so CAB (or BAC) is an angle. A line is described as an infinite set of points that extend forever in either direction, which these rays also do.

Step-by-step explanation:

Angles are rays with a shared endpoint.

Lines extend forever in either direction.

Rays AB and AC extend forever in either direction.

A line with points C, A, and B with arrows at the endpoints can satisfy the fact that the two rays AB and AC form both a line and an angle.

A line with points C, A, and B have arrows on both endpoints.

We need to explain how the line containing the points C, A, and B has two rays AB and AC and how it can form both a line and an angle.

What are a line, ray, and angle?

A line has no endpoints, it extends infinitely in both directions and both end point is denoted by an arrow.

A ray has a fixed point on one side and an arrow on the other side which extends infinitely.

An angle is formed by two rays from one common fixed point.

Let us draw the line with points C, A, and B that have arrows at the endpoints.

C                A                      B

<----------------.-------------------->

We can say that AB is a ray since at point A we have a fixed point and at point B there is an arrow.

And AC is also a ray since at point A there is a fixed point and at point C there is an arrow.

The two rays AB and AC together form a line because on both ends sides there are arrows.

An angle can also be formed since AB and AC are two rays from one common fixed point.

Thus a line with points C, A, and B with arrows at the endpoints can satisfy the idea that the two rays AB and AC form both a line and an angle.

Learn more about line, rays, and angle here:

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here is the question the whole question is in the image​

Answers

Answer:

The change for the input would be 1, and the change for the output would be 0.35. The rate of change should be 0.35 also.

Step-by-step explanation:

5 numbers that create the mean of 9​

Answers

Answer:

9,9,9,9,9

Step-by-step explanation:

Let the five unknown numbers be x

= [tex]\frac{x+x+x+x+x}{5} = 9[/tex]

Simplify

[tex]\frac{5x}{5} = \frac{9}{1}[/tex]

Cross-cancel common factor ; 5

[tex]5x\div 5 = x\\\\x = \frac{9}{1} \\\\x = 9[/tex]

- 1/3 + 4/5

Minus not negative sign

Answers

Answer:

7/15

Step-by-step explanation:

What is 45 divided by 8.0

Answers

Answer:

answer is 5.625

hope it helps

5.625

40/5=5

5/8=0.625

John has 66 socks, all in pairs. He has 1 more pair of white socks than black socks. How many individual socks of each color does he have?

Answers

Answer:

Black socks 35

White socks 31

Step-by-step explanation:

pizza house offers 2 different salads, 7 different kinds of pizza, and 5 different desserts. how many different three- course meals can be ordered

Answers

Answer:

70

Step-by-step explanation: To get the answer to these types of questions, you multiply all three numbers together.

Jorge walks to his friends house he walks 750 m north then realizes he walked too far he turns around and walks 250 m south the entire walk take some 600 seconds what is the speed per second

Answers

Answer:

1.67 m/s

Step-by-step explanation:

Speed = Distance/Time

Jorge walks in total:

750 m + 250 m = 1000 m

I takes him:

600 seconds

His speed is:

1000 m /600 s ≈ 1.67 m/s

Which graph shows the solution of the system of equations?

Answers

We’re is the equation

Can you simplify this algebraic expression? Type your answer below!
(2x-4) - (6x +6)

Answers

Answer:

-4x -10

Step-by-step explanation:

remove paranthese: 2x−4−6x−6

collect like terms: (2x−6x)+(−4−6)

−4x−10

The simplified Algebraic Expression of (2x-4) - (6x +6) is -4x - 10.

What is Expression?

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.

Given:

(2x-4) - (6x +6)

Now, solving the above expression

= (2x-4) - (6x +6)

= 2x - 4 - 6x - 6

Combining the like terms

= (2x- 6x) + (-4-6)

= -4x - 10

Hence, the simplified expression is -4x-10.

Learn more about expression here:

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Mari,Carlos, and Amanda all collect stamps. Carlos has five more stamps then Mari, and Amanda has three times as many stamps as Carlos. Altogether, they have 100 stamps. Find the number of stamps each person has. Write a verbal description of the basic situation.

Answers

Let the amount of stamps Mari has be “m”. Since Carlos has 5 more stamps than Mari, Carlos will have 5+m stamps. Amanda has three times as many stamps as Carlos so that will be 3(5+m)=15+3m.
m+(5+m)+(15+3m)=100
5m+20=100
5m=80
m=16
Mari=16
Carlos=16+5=21
Amanda=15+48=63

(edited) Yo please help its a timed..
Determine whether each function is even, odd, or neither. f(x)= x/ x^2-1

Answers

Answer:

it is  odd

Step-by-step explanation:

Answer:

Neither  I d k  just  t b h  I kinda forgot lol

Step-by-step explanation:

I will give brainliest Blue whales eat an average of 5,000 pounds of fish daily, with a standard deviation of 850 pounds. Approximately what percentage of blue whales eat more than 7,550 pounds of fish?

Answers

(7,550 - 5,000) / 850 = 3 standard deviations.

The percentage could vary depending on the bell curve diagram your professor uses. I was taught that anything more than 3 standard deviations is 0.15%. So, only about 0.15% of blue whales eat more than 7,550lbs of fish.

Answer:

the answer is 0.15 percent, give the person above me brainlyest for helping!

Step-by-step explanation:

Four water tanks can hold a total of 432.4 gallons of water. On average, how much water can one tank hold? How much water is in a tank that is half-full? One tank can hold an average of gallons of water. A half-full tank will hold gallons of water.

Answers

Answer:

one tank can hold 108.1 gallons. half full is 54.05

Step-by-step explanation:

Answer:

54.05 gallons

Step-by-step explanation:

432.4÷4= 108.1108.1÷2= 54.05

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