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Elis [28]
3 years ago
8

Please Help Me With This Problem

Mathematics
2 answers:
larisa86 [58]3 years ago
7 0
Easy. So, with area what you have to do is 0.5•base•height.
So that would turn out to:
0.5•53•50.
Which would equal 1325 yd2.

Perimeter is just adding the sides. So that would be 53+54+97.
Which would equal 204 yd.
Novay_Z [31]3 years ago
6 0

Answer:

Area=1,325\ yd^2\\Perimeter=204\ yd

Step-by-step explanation:

You can use the following formula to calculate the area of the triangle:

A=\frac{bh}{2}

Where "b" is the base and "h" is the height.

You can observe in the figure that:

b=53\ yd\\h=50\ yd

Then, the area is:

A=\frac{(53\ yd)(50\ yd)}{2}=1,325\ yd^2

To find the perimeter you must add the lenght of each side of the triangle. Then, this is:

P=97\ yd+53\ yd+54\ yd\\\\P=204\ yd

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Write the equation of the line that passes through the points (8, -4) and (-2,5).
Sladkaya [172]

Answer:

The equation in the slope-intercept form will be:

Step-by-step explanation:

Given the points

  • (8, -4) and (-2, 5)

The slope between two points

m=\frac{5-\left(-4\right)}{-2-8}

m=-\frac{9}{10}

As the point-slope form is

y-y_1=m\left(x-x_1\right)

substituting the values m = -9/10 and (8, -4)

y-\left(-4\right)=-\frac{9}{10}\left(x-8\right)

Writing the line equation in the slope-intercept form

y=mx+b

where m is the slope and b is the y-intercept

so the equation in the slope-intercept form will be:

y-\left(-4\right)=-\frac{9}{10}\left(x-8\right)

y+4=-\frac{9}{10}\left(x-8\right)

subtract 4 from both sides

y+4-4=-\frac{9}{10}\left(x-8\right)-4

y=-\frac{9}{10}x+\frac{16}{5}

Therefore, the equation in the slope-intercept form will be:

y=-\frac{9}{10}x+\frac{16}{5}

7 0
3 years ago
David invested $220 in a savings account that offers a 3% return on the investment. The value of
STatiana [176]

Answer:

20 years

Step-by-step explanation:

Using the formula; A = P(1 + r)^t

We can plug in the known to find t

400 = 220(1.03)^t

then solve for t;

1.818 = 1.03^t

Introducing In

In 1.818 = t × In (1.03)

t = 20.225  

t = 20 years to the nearest year

7 0
4 years ago
Find the least common denominator for the group of fractions.<br> 5/12, 9/14, 2/5, 1/10
makkiz [27]

9514 1404 393

Answer:

  420

Step-by-step explanation:

The prime factors of each denominator are ...

  12 = 2²×3

  14 = 2×7

  5 = 5

  10 = 2×5

The unique factors are 2²×3×5×7 = 420.

The least common denominator of these fractions is 420.

_____

<em>Additional comment</em>

  • 5/12 = 175/420
  • 9/14 = 270/420
  • 2/5 = 168/420
  • 1/10 = 42/420
5 0
3 years ago
I need some help with 2 step equations. Like this one 2(x+3) + 4 =4x + 6
Vladimir [108]

Answer: ok well if you know that 2(x+3) + 4 = 4x + 6

ok well you know that 4+3+2= 9, and 4+ 6= 10 then that means that x must be 1 so they equal.

Step-by-step explanation:

Umm I kind of explained it already but hope this helps!

5 0
3 years ago
Read 2 more answers
Larry bought 12 containers of pasta salad for a school picnic. Each container held the same number of ounces of salad. Students
Anvisha [2.4K]

Answer:

a) Amount of pasta remaining ≤ p(12 - 8)

b) Amount of pasta remaining ≤ 4p

Step-by-step explanation:

Amount of pasta in one container = p

Let y represent the amount of pasta that is left.

Since the students eat 8 containers worth of pasta out of 12 pasta containers

But we weren't told that the students did not eat out of the 4 remaining pasta containers

y ≤ p(12 - 8)

where y = p(12 - 8) if the students did not touch the remaining 4 containers.

b) Using the distributive property

p(12 - 8) = 12p - 8p

y ≤ 12p - 8p

y ≤ 4p

8 0
3 years ago
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