All categories

3 years ago

HELP ME FAST PLEASE \

Mathematics

1 answer:

tekilochka [14]3 years ago

8 0

Answer:

The area of the triangle is 28 square units

Step-by-step explanation:

First we have to calculate the length of the base of the triangle and the length of the height

To calculate the base we have to subtract point (-1 , 2) from point (7 , 2)

(7 , 2) - (-1 , 2) = ((7 - (-1)) , (2 - 2)) = (8 , 0)

because it has no component in y this means that the length of the base is 8

b = 8

To calculate the height we have to subtract point (-1 , 2) from point (-1 , 9)

(-1 , 9) - (-1 , 2) = (((-1) - (-1)) , (9 - 2)) = (0 , 7)

because it has no component in x this means that the length of the base is 7

h = 7

To calculate the area of a triangle we have to multiply the base by the height and then divide it by 2

a = (b * h)/2

a = (8 * 7)/2

a = 56/2

a = 28

The area of the triangle is 28 square units

You might be interested in

Use mapping notation to represent a 90 degree clockwise rotation about the origin of the point (x, y)

Vaselesa [24]

Answer:

see explanation

Step-by-step explanation:

Under a clockwise rotation about the origin of 90°

a point (x , y) → (y , - x)

6 0

3 years ago

Read 2 more answers

Volume of a cone = r²h,

inessss [21]

Answer:

7.5 m 457.5 $\pi$ $m^{2}$

Step-by-step explanation:

First, visualize the original cone and the smaller cone as overlapping similar triangles. The scale factor of the original cone to the smaller cone is 50:40, so if the smaller cone has a radius of 6 m, then the radius of the original cone would be 7.5 m.

The volume of the frustum is the volume of the original cone minus the volume of the smaller cone. The formula for the volume of a cone is V = $\frac{1}{3} \pi r^{2}h$ .

Original Cone = $\frac{1}{3} \pi r^{2}h$ = $\frac{1}{3} \pi *7.5^{2}*50$ = 937.5 $\pi$

Smaller Cone = $\frac{1}{3} \pi r^{2}h$ = $\frac{1}{3} \pi *6^{2}*40$ = 480 $\pi$

Frustum = 937.5 $\pi$ - 480 $\pi$ = 457.5 $\pi$

6 0

2 years ago

Janes jogging speed is 5 kilometers per hour. What is her speed in meters per second?

bagirrra123 [75]

Answer:

1.3888888888889 mps

Step-by-step explanation:

1 kph = 0.27777777777778 mps, so just multiply that by 5.

4 0

3 years ago

Read 2 more answers

Which of the following expressions is equivalent to (x + 5) ^2

Karo-lina-s [1.5K]

(X+5)^2 = x^2 +10x + 25

the expression that is equivalent to

To multiply it we apply FOIL method
Multiply x with x+5 first and then we multiply 5 with x+5

7 0

3 years ago

Can someone answer the blanks for points? THANKS I’m failing !

charle [14.2K]

Answer:

a. $3,333.33

b. $223,333.31

Step-by-step explanation:

a. $50,000 value increase and difference of 15 years 50,000/15 = 3,333.333333= 3333.33

b. difference 2006 and 1999 is 7 years, growth by year is $3333.33 so 3333.33 * 7 = 23,333.31 is difference in growth in those 7 years plus the original value of 1999 is $223,333.31

8 0

3 years ago