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aksik [14]
4 years ago
9

the library is located 1.8 miles west of callies house.the grocery store is located 2.4 miles south of the library what is the l

ength of a straight line between Callie's house and the grocery store
Mathematics
2 answers:
torisob [31]4 years ago
8 0

Use Pythagaras theorem :-

x^2 = 1.8^2 + 2.4^2 where a is distance required

x^2 = 9

x = 3 miles Answer

dimaraw [331]4 years ago
4 0

Let the distance be x

x² = 1.8² + 2.4²

x² = 9

x = √9

x = 3

Answer: The distance is 3 miles.

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Which expression is equivalent to 24^1/3
kenny6666 [7]
Second is right answer
3 0
4 years ago
Read 2 more answers
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
How do you do this??? 5x+9y+3x-2y this is a algebraic exercise plz help!!!
densk [106]
Combine like terms.

4. 5x+9y+3x-2y
8x+7y

7. 22u-6u+4t+4t-8u
8u+8t

10. 23m+4n-3m
20m+4n
6 0
3 years ago
How do you solve the following system of equations by eliminating the y-values? I've already solved it by eliminating the x-valu
AlexFokin [52]

Step-by-step explanation:

The coefficients of the y terms are -3 and 2.  The least common multiple of 3 and 2 is 6.  So multiply the first equation by 2 and the second equation by 3, so that the y terms have a coefficient of 6.

4x − 6y = 42

-18x + 6y = 21

The signs are opposite, so add the equations together.

-14x = 63

x = -9/2

6 0
3 years ago
1. A right circular cylinder has a height of 5 in. and a base area of 20 in2. What is the volume of the cylinder? Use π = 3.14.
Kruka [31]

Answer:

<h2>1. V = 100 in³</h2><h2>2. h = 10 in</h2>

Step-by-step explanation:

The formula of a volume of a cylinder:

V=Bh

<em>B</em><em> - base area</em>

<em>h</em><em> - height</em>

<em />

1. We have

<em>h = 5in, B = 20 in²</em>.

Substitute:

V=(5)(20)=100\ in^3

2. We have

<em>B = 20.7 in², V = 207 in³</em>.

Substitute:

207=20.7h            <em>divide both sides by 20.7</em>

\dfrac{207}{20.7}=\dfrac{20.7h}{20.7}\\\\10=h\to h=10\ in

4 0
3 years ago
Read 2 more answers
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