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faust18 [17]
2 years ago
13

A student makes a sign out of a rectangular piece of cardboard for an upcoming event at school. The piece of cardboard has a len

gth of 50 inches (in.) and a width of 25 inches. The sign is in the shape of an arrow, as shown. how much cardboard, in square inches, is not used for the sign?​
Mathematics
1 answer:
seraphim [82]2 years ago
3 0

Answer:

915 in²

Step-by-step explanation:

The area of the rectangle :

Length = 32 inches

Width = 25 - (10+10) = 25 - 20 = 5 inches

Area of rectangle = Length * width

Area = 32 * 5 = 160 in²

Area of triangle :

Base = 25 inches

Height = (46 - 32) inches = 14 inches

Area of triangle = 1/2 * base * height

Area of triangle = 1/2 * 25 * 14 = 175 in²

Total area = (160 + 175)in² = 335 in²

Total area of cardboard :

50 inches * 25 inches = 1250 in²

Amount of cardboard not used :

(1250 - 335) in² = 915 in²

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3 years ago
What is the measure of the missing angle?​
goblinko [34]

Answer:

<u>The missing angle measures also 110°</u>

Step-by-step explanation:

Let's recall that If the transversal cuts across parallel lines (apparently, this particular case) then those alternate exterior angles have the same measure (.∠ 110° and ∠?) So in the figure given, the two alternate exterior angles measure the same.

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3 years ago
Hello If You Have Please Help Thank You<br> Solve for x.<br><br> −7x−15&lt;6
bonufazy [111]

Answer:

x > -22/7

Step-by-step explanation:

Given inequality:

- 7x - 15 < 6

<em>adding 15 to both sides:</em>

==> -7x - 15 + 15 < 6 + 16

==> -7x < 22

<em>dividing</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>by</em><em> </em><em>7</em><em>:</em>

==> -x < 22/ 7

<em>multiplying</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>by</em><em> </em><em>-</em><em>1</em>

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2 years ago
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damaskus [11]

Answer:

2x+y=6

Step-by-step explanation:

The standard form of such an equation is Ax + By + C = 0 or Ax + By = C. When you rearrange this equation to get y by itself on the left side, it takes the form y = mx +b. This is called slope-intercept form because m is equal to the slope of the line, and b is the value of y when x = 0, which makes it the y-intercept.

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2 years ago
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Answer:

800

Step-by-step explanation:

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