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3 years ago

What is the answer > , <, or = -37/8______-4.63

Mathematics

1 answer:

Lunna [17]3 years ago

3 0

-37/8 as a decimal is -4.625. So: -4.62 > -4.63

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the two triangles have two congruent sides and one congruent angle

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Read 2 more answers

The midpoint of \overline{\text{AB}}

Schach [20]

Answer:

The coordinates of b are: B=(-7,-8)

Step-by-step explanation:

We are given the coordinates of the midpoint of $\overline{\text{AB}}$ as M=(-5,-2).

We are also given the coordinates of A=(-3,4). The question requires us to calculate the coordinates of the other endpoint B.

Let (xb,yb) the coordinates of B. The coordinates of the midpoint can be calculated as follows:

$\displaystyle x_m=\frac{x_a+x_b}{2}$

$\displaystyle y_m=\frac{y_a+y_b}{2}$

We know xa=-3 and xm=-5. Solve the first equation for xb:

$2x_m=x_a+x_b\Rightarrow x_b=2x_m-x_a$

Substituting:

$x_b=2\cdot (-5)-(-3)=-10+3$

$x_b=-7$

We can solve the second equation for xb and get:

$y_b=2y_m-y_a$

Since ya=4 and ym=-2, then:

$y_b=2\cdot (-2)-(4)=-4-4$

$y_b=-8$

Thus, the coordinates of b are: B=(-7,-8)

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3 years ago

my water sprinkler turns 5 degrees with every click. if it turns 60 degrees total, how many times has it clicked?

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3 years ago

Safiya deposited money into a bank account that earned 6.5% simple interest each year. After 312 years, she had earned $36.40 in

Svetllana [295]

Answer: If the time is 3 1/2 years (most reasonable assumption)

Her initial deposit was $160

Step-by-step explanation: The basic formula for simple interest is

i = prt i is interest, P is principal (deposit) r is the percentage (converted to a decimal) and t is time, the number of years.

For this question, you have to rearrange the equation to solve for p.

So divide both sides by rt and you have

p = i/rt

Substitute the values given

p = 36.40/(0.065)(3.5)

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3 years ago