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Nina [5.8K]
3 years ago
5

What is the product of 10 and 9radical 72 in simplest radical form

Mathematics
1 answer:
Arturiano [62]3 years ago
8 0

Step-by-step explanation:

10  \times  9 \sqrt{72}  \\  =  90 \sqrt{36 \times 2}  \\  = 90 \times 6 \sqrt{2}  \\  = 540\sqrt{2}

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The length of the shorter base in an isosceles trapezoid is 4 in, its altitude is 5 in, and the measure of one of its obtuse ang
siniylev [52]
The sum of angles in any quadrilateral, including trapezoid, is 360⁰. 
Because we have <span>an isosceles trapezoid, we have 2 angles with measure 135⁰,
and we have 2 equal acute angles with measure x⁰.
So, we can find value of acute angle,
135*2 +2x =360⁰
270+2x=360
2x=360-270
2x=90
x=45⁰

So, acute angles in trapezoid = 45⁰.
From triangle ABC,
angle ACB =90⁰
angle A=45⁰,
so angle ABC= 180-(90-45)=45⁰
Triangle ABC is isosceles triangle,so |AC| = |CB|= 5 in.

So, longer base AA' = 5+4+5= 14 in

Now, we can find area of trapezoid.
shorter base = 4 in
longer base = 14 in
altitude =h = 5 in
Area of trapezoid =(1/2)(base1+base2)*h
Area of trapezoid = (1/2)(4+14)*5= 9*5=45 in²
Answer is 45 in².
</span>

5 0
3 years ago
Kaitlyn drove 360 miles in 9 hours. If she continues driving at the same speed, how far will she have driven in 11 hours?
stellarik [79]

Answer:

440 miles

Step-by-step explanation:

First, you need to calculate the number of miles per hour. To do this, take the total number of miles traveled and divide it by the number of hours it took. 360/9=40. This means Kaitlyn drove at 40 miles per hour. Then, we need to multiply 40 by 11 to figure out the number of miles she drove in 11 hours because her speed stayed the same. 40*11=440. This means Kaitlyn will have driven 440 miles in 11 hours.

Hope this helps! :)

4 0
2 years ago
I work in a warehouse, I pick 30 lines in 30 minutes. how many lines total will that be for 8 hours​
lakkis [162]
In 1 hour you pick 60 lines, so in 8 hours you pick 60*8 = 480 lines
7 0
3 years ago
Read 2 more answers
HELP ASAP!!
Alona [7]

Answer:

The answer is C) - |x - 2| + 3 = 0

Step-by-step explanation:

a) - |x - 2| + 3 > 0

The greater than means something above the graph.

b) - |x - 2| + 3 < 0

The less than means something below the graph.

c) - |x - 2| + 3 = 0

The zero doesn't do anything.

y = - a |x - h| + k = 0

(h,k) is the origin.

h is shift left/right, h = 2 so shift right 2.

k is shift up/down, k = 3 so shift up 3.

The a, affects the y-values which cause the graph to reflect across the x-axis.

6 0
2 years ago
Which of the following will NOT improve your credit score?
Law Incorporation [45]
A. Taking out a new car loan
3 0
3 years ago
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