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3 years ago

Rewrite 7 1/8 as an improper fraction.

Mathematics

1 answer:

Nimfa-mama [501]3 years ago

5 0

It is 57/8 ! You should use this math calculater! it's called calculater soup!

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What is the perimeter of the trapezoid with vertices Q(8, 8), R(14, 16), S(20, 16), and T(22, 8)? Round to the nearest hundredth

uysha [10]

Answer:

The perimeter of the trapezoid is $38.25\ units$

Step-by-step explanation:

we know that

The perimeter of the trapezoid is the sum of its four side lengths

In this problem

$P=QR+RS+ST+QT$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

$Q(8, 8), R(14, 16), S(20, 16),T(22, 8)$

step 1

Find the distance QR

$Q(8, 8), R(14, 16)$

substitute the values in the formula

$d=\sqrt{(16-8)^{2}+(14-8)^{2}}$

$d=\sqrt{(8)^{2}+(6)^{2}}$

$d=\sqrt{100}$

$QR=10\ units$

step 2

Find the distance RS

$R(14, 16), S(20, 16)$

substitute the values in the formula

$d=\sqrt{(16-16)^{2}+(20-14)^{2}}$

$d=\sqrt{(0)^{2}+(6)^{2}}$

$d=\sqrt{36}$

$RS=6\ units$

step 3

Find the distance ST

$S(20, 16),T(22, 8)$

substitute the values in the formula

$d=\sqrt{(8-16)^{2}+(22-20)^{2}}$

$d=\sqrt{(-8)^{2}+(2)^{2}}$

$d=\sqrt{68}$

$ST=8.25\ units$

step 4

Find the distance QT

$Q(8, 8),T(22, 8)$

substitute the values in the formula

$d=\sqrt{(8-8)^{2}+(22-8)^{2}}$

$d=\sqrt{(0)^{2}+(14)^{2}}$

$d=\sqrt{196}$

$QT=14\ units$

step 5

Find the perimeter

$P=10+6+8.25+14=38.25\ units$

6 0

3 years ago

Read 2 more answers

Which problems result in a positive number? Choose all answers that are correct. A. –4.6 • 1.6 B. –10 • (–5.2) C. 8.4 ÷ 2 D.

kumpel [21]

Well you can automatically eliminate, A, because when you multiply one number that's positive and another number that's negative the result is always going to be negative.
However, when you multiply two negatives the result is always positive!

So, the only ones up there that would result in a positive number is B and C

***D. was not posted so I cannot determine that one!

8 0

3 years ago

What is the solution 6x-4 =2(3x-2)

Lapatulllka [165]

Answer:

x= 0

Step-by-step explanation:

6x-4=2(3x-2)

or,6x-4=6x-4

or,x=o

8 0

3 years ago

In a right triangle ,one acute angle measure 39, what is measure of the other acute angle?

LUCKY_DIMON [66]

C, 51 because acute angles are less than 90° but together the angles create a right triangle which is 90°.

3 0

3 years ago

Read 2 more answers

Simplify 7 – (–12) – 5

kherson [118]

Answer:

Step-by-step explanation:

1. Do the "Two Mark" Rule

- 7 + (+12) - 5

2. Do your addition before subtracting

- 7 + 12 = 19

3. Subtract your remaining two numbers

- 19 - 5 = 14

5 0

3 years ago