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AleksAgata [21]
4 years ago
9

In a coordinate plane, triangle ABC has vertices A(- 4, 5), B(- 4, - 4) , and C(3,-4), . Find the perimeter of triangle ABC to t

he nearest tenth.
Mathematics
1 answer:
4vir4ik [10]4 years ago
7 0

Answer: perimeter of triangle ABC to the nearest tenth = 27.4

Step-by-step explanation: Given that

vertices are

A(- 4, 5), B(- 4, - 4) , and C(3,-4)

Length AB = root( [-4-5]^2 + [-4+4]^2)

Length AB = sqr(9^2) = 9

Length AC = root( [-4-5]^2 + [3+4]^2)

Length AC = sqr( 9^2 + 7^2)

Length AC = sqr(130) = 11.4

Length BC = root( [-4+4]^2 + [3+4]^2)

Length BC = sqr( 7^2) = 7

Perimeter = 9 + 11.4 + 7 = 27.4

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goldenfox [79]

Answer:

y=3x+2

Step-by-step explanation:

y=mx+b

we have m here so

y=3x+b

then the 2 is the y-intercept

y=3x+2

7 0
3 years ago
The height of a sunflower is normally distributed with a mean of 14.2 feet and a standard deviation of 2.15. What is the probabi
tekilochka [14]

Answer:

0.153

Step-by-step explanation:

Chjmk

In this question, we are asked to calculate the probability of selecting a sunflower greater than a particular height.

What to do in this case is to first find the z-score based on this information given.

Mathematically,

Z-score = x- mean/standard deviation

Here, z-score will have a value of;

(16.4-14.2)/2.15 = 1.023

Therefore,

P(height >16.4ft) = P(Zscore >1.023) = 1-Fz(1.023) = 0.153

4 0
4 years ago
The sum of two numbers is 9 and their difference is 7
sdas [7]

Answer: 1&8

Step-by-step explanation:

1+8=9

8-1=7

7 0
4 years ago
Read 2 more answers
Steel loading ramps are used to load a lawn mower onto a truck bed 37.5 inches above the ground. If the ramp make a 30° angle wi
scoray [572]

Answer:

6.25 feet.

Step-by-step explanation:

Please find the attachment.

Let L be the length of the ramp in feet.  

We have been given that steel loading ramps are used to load a lawn mower onto a truck bed 37.5 inches above the ground. The ramp make a 30° angle with the ground.

We can see from our attachment that ramp and truck bed forms a right triangle with ground. The truck bed is opposite side and length of ramp is hypotenuse of our given angle.

Since we know that Sine relates the opposite and hypotenuse of a right triangle, so we will use Sine to solve for L.

\text{Sine}=\frac{\text{Opposite}}{\text{Hypotenuse}}

Upon substituting our given values in above formula we will get,

\text{Sin(30)}=\frac{37.5}{L}

L=\frac{37.5}{\text{Sin(30)}}

L=\frac{37.5}{0.5}

L=75

Therefore, the length of the ramp is 75 inches.

Let us convert the length of ramp in feet.

1 feet = 12 inches.

\text{75 inches}=\frac{75\text{ inches}}{\frac{12\text{ inches}}{\text{feet}}}

\text{75 inches}=\frac{75\text{ inches}}{12}\times \frac{\text{ feet}}{\text{inches}}

\text{75 inches}=\frac{75}{12}\times\text{ feet}

\text{75 inches}=6.25\text{ feet}

Therefore, the length of the ramp is 6.25 feet.

7 0
4 years ago
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Make w the subject of the formula z = w + 3
bogdanovich [222]

Answer:

w = -z(-w) + 3(-w)

Step-by-step explanation:

z = w + 3 | Given

-w + z = 3 | Subtract w from both sides.

-w = -z + 3 | Subtract z from both sides

w = -z(-w) + 3(-w) | Multiply -w on both sides.

3 0
3 years ago
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