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Naya [18.7K]
3 years ago
14

If you know the area and the height of a triangle, how can you find the base.?

Mathematics
2 answers:
sveta [45]3 years ago
8 0

Answer:

b = 2A/h

Step-by-step explanation:

The formula for area of a triangle is

A = 1/2 bh  where b is the base and h is the height

We want to find the base

Multiply each side by 2

2A = 2*1/2 bh

2A = bh

Divide each side by the height

2A/h = bh/h

2A /h = b

b = 2A/h

olchik [2.2K]3 years ago
4 0

Answer:

2 × Area ÷ height

Step-by-step explanation:

Area of triangle = ½ × base × height

base = 2 × Area ÷ height

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The total amount paid on a 35 year loan was $98,000. If the interest rate was 4.1% and compounded monthly, what was the principa
Levart [38]

Answer:

The principal amount was $23,393.45

Step-by-step explanation:

The total amount paid on a 35 year loan was $98,000 at the rate of interest 4.1%

We will calculate Principal amount by this formula

A=P(1+\frac{r}{n})^{nt}

Where A = amount (98,000)

           P = Principal amount (P)

           r = rate of interest 4.1% (0.041)

           n = number of compounding interest monthly (12)

           t = time (35 years)

98,000=P(1+\frac{0.041}{12})^{(12)(35)}

98,000=P(1+0.003416)^{(420)}

98,000=P(1.003416)^{(420)}

98,000 = P(4.189386)

= 4.189386P = 98,000

P = \frac{98000}{4.189386}

P = 23,392.4494 ≈ $23,392.45

The principal amount was $23,393.45

5 0
3 years ago
Read 2 more answers
Triangle XYZ is located at X (−2, 1), Y (−4, −3), and Z (0, −2). The triangle is then transformed using the rule (x−1, y+3) to f
Airida [17]
<span>You have to apply the rule to the XYZ coordinates, so X'= (-2-1, 1+3) Y'= (-4-1, -3+3) Z'= (0-1, -2+3) So the new coordinates are X' (-3, 4), Y' (-5, 0), and Z'(-1, 1) This is actually translation not transformation, as the shape doesn't change it just moves</span>
6 0
2 years ago
Which is an equation in slope intercept form of the line that passes through (1, 3) and (2, 4)?​
Murrr4er [49]

Answer:

y = x + 2

Step-by-step explanation:

The slope-intercept equation is:

y = mx + b

First, you should use the point-slope formula to find the slope. Plug in the "x" and "y" values given from the points:

Point 1: (1,3)        Point 2: (2,4)

y₁ - y₂ = m(x₁ - x₂)               <--- Point-slope formula

(3 - 4) = m(1 - 2)                  <--- Plug in "x" and "y" values from points

-1 = -m                                <--- Simplify inside parentheses

1 = m                                  <--- Divide both sides by -1

Finally, use one of the points to solve for the y-intercept (b):

Point 1: (1,3)           m = 1

y = mx + b                       <--- Slope-intercept formula

3 = 1(1) + b                       <--- Plug in values from point and slope (m)

3 = 1 + b                          <--- Multiply slope and "x" value

2 = b                               <--- Subtract 1 from both sides

Since the slope = 1, it does not need to be included in the final formula. The final answer is:

y = x + 2

7 0
1 year ago
00:00
Zigmanuir [339]

Answer:

c   and d

Step-by-step explanation:

i think

4 0
3 years ago
Read 2 more answers
If f and t are both even functions, is the product ft even? If f and t are both odd functions, is ft odd? What if f is even and
Natali5045456 [20]

Answer:

(a) If f and t are both even functions, product ft is even.

(b) If f and t are both odd functions, product ft is even.

(c) If f is even and t is odd, product ft is odd.

Step-by-step explanation:

Even function: A function g(x) is called an even function if

g(-x)=g(x)

Odd function: A function g(x) is called an odd function if

g(-x)=-g(x)

(a)

Let f and t are both even functions, then

f(-x)=f(x)

t(-x)=t(x)

The product of both functions is

ft(x)=f(x)t(x)

ft(-x)=f(-x)t(-x)

ft(-x)=f(x)t(x)

ft(-x)=ft(x)

The function ft is even function.

(b)

Let f and t are both odd functions, then

f(-x)=-f(x)

t(-x)=-t(x)

The product of both functions is

ft(x)=f(x)t(x)

ft(-x)=f(-x)t(-x)

ft(-x)=[-f(x)][-t(x)]

ft(-x)=ft(x)

The function ft is even function.

(c)

Let f is even and t odd function, then

f(-x)=f(x)

t(-x)=-t(x)

The product of both functions is

ft(x)=f(x)t(x)

ft(-x)=f(-x)t(-x)

ft(-x)=[f(x)][-t(x)]

ft(-x)=-ft(x)

The function ft is odd function.

7 0
3 years ago
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