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irina1246 [14]
3 years ago
5

Use the listing method to write the following set.

Mathematics
1 answer:
vampirchik [111]3 years ago
3 0
It’s C because it’s less than 3
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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
torisob [31]

Use Pythagaras theorem :-

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

x^2 = 9

x = 3 miles Answer

8 0
3 years ago
Read 2 more answers
The perimeter of a rectangle is 46 in and the diagonal is 17 in. Find the area of the rectangle.
OlgaM077 [116]
P=2*(L+l)=46
L+l=46:2
L+l=23
(L+l)^2=529
(L^2+l^2)+2l*L=529

D= V L^2+l^2= 17
L^2+l^2=289

so 289+2l*L=529
     2l*L=529-289=240
l*L=240:2
A=120 


5 0
3 years ago
What is a correct equation for the line passing through the point (-2,1) and having slope m=1/2
frez [133]

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

m - slope

We ahve the slope m = 1/2 and the point (-2, 1). Substitute:

y-1=\dfrac{1}{2}(x-(-2))

y-1=\dfrac{1}{2}(x+2) - point-slope form

Covert to the slope-intercept form (y = mx + b):

y-1=\dfrac{1}{2}(x+2)          <em>use the distributive property</em>

y-1=\dfrac{1}{2}x+1          <em>add 1 to both sides</em>

y=\dfrac{1}{2}x+2   - slope-intercept form

Convert to the standard form (Ax + By = C):

y=\dfrac{1}{2}x+2     <em>multiply both sides by 2</em>

2y=x+4        <em>subtract x from both sides</em>

-x+2y=4         <em>change the signs</em>

x-2y=-4   -  standard form

Convert to the general form (Ax+By+C=0):

x-2y=-4        <em>add 4 to both sides</em>

x-2y+4=0   - general form

5 0
3 years ago
Can you simplify 3k+8-k+72
Lelu [443]

Answer:

2k + 80

Step-by-step explanation:

Combine like terms.

3k + 8 - k + 72 =

= 3k - k + 8 + 72

= 2k + 80

4 0
3 years ago
Read 2 more answers
For the right triangles below, find the exact values of the side lengths a and c. If necessary, write your responses in simplifi
alex41 [277]

Answer:

First triangle: a = 5\sqrt{2}, second triangle: c = \frac{8\sqrt{3}}{3}

Step-by-step explanation:

In the first triangle, the value of a is equal to the following trigonometric relation:

a = \frac{5}{\cos 45^{\circ}}

a = \frac{5}{\frac{\sqrt{2}}{2} }

a = \frac{10}{\sqrt{2}}

a = \frac{10\sqrt{2}}{2}

a = 5\sqrt{2}

In the second triangle, we obtain the value of c is equal to the following trigonometric relation:

c = 8\cdot \tan 30^{\circ}

c = 8 \cdot \left(\frac{\sin 30^{\circ}}{\cos 30^{\circ}} \right)

c = 8\cdot \left(\frac{\frac{1}{2} }{\frac{\sqrt{3}}{2} } \right)

c = \frac{8}{\sqrt{3}}

c = \frac{8\sqrt{3}}{3}

8 0
2 years ago
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