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Ymorist [56]
3 years ago
12

Find the missing angles for 1 and 2 please

Mathematics
1 answer:
aev [14]3 years ago
8 0
In picture 1 we got a right triangle on the left. Two given angles are the 90° and a 30°. When we calculate the remaining angle we get:
30 + 90 + x = 180
120 + x = 180
x = 60

The bottom right angle of the right triangle is 60°.

At the bottom, we see a straight line with 3 angles on it. Because that angles made up a straight line, we know their sum is equal to 180°. When we convert that into an equation: 60 + 70 + y = 180

Simplify:
130 + y = 180
y = 50

We learned that the left bottom angle of the triangle on the right equals 50°.

At the triangle on the right we have two angles known: 50°, and 85°. We can find the third angle by setting their sum equal to 180: 50 + 85 + ? = 180

Simplify:
135 + ? = 180
? = 45


For picture 2, we know that those two triangles have congruent angles in the middle. The two angles in the middle are what we call 'vertical' angles.

Because their one angle is equal, their remaining two angles' sum needs to be equal to each other. So 24 + ? = 27 + 26

When we simplify this:
? = 53 - 24
? = 29

So, the ? is 29.

(I used x and y but I made them up)
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Step-by-step explanation:

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A cylinder and a cone have the same volume. The cylinder has radius x and height y. The cone has radius 3x. Find the height of t
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Can anyone solve this asap? i’m completing a final.
Allisa [31]

Answer:

Step-by-step explanation:

The right option es a)

because the general form is:

ax^2+bx+c

so you can easyly identify b=-5

7 0
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Tank a has a capacity of 9.5 galloons 6 1/3 gallons of the tanks water are poured out how many gallons of water are left in the
Alisiya [41]
= 9 \frac{1}{2} - 6 \frac{1}{3} \\ = 9 \frac{3}{6} - 6 \frac{2}{6}
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3 0
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Read 2 more answers
Look at the image below plz correct answers Surface area of cones 15 points
monitta

Answer:

A\approx 282.7\ m^2

Step-by-step explanation:

1. Approach

The easiest method to solve this problem is to use the Pythagorean theorem to find the height of the cone. Then one can substitute the values given and found on the cone into the formula to find the surface area in order to solve for the surface area of the given cone.

2. Height of the cone

Imagine drawing a line from the tip of the cone down to the center of the base. This line will form a right angle with the base, thus, a right triangle is formed between the line, the radius (the distance from the center to the circumference or outer edge on a circle) of the base, and the incline of the cone. The Pythagorean theorem is a formula that relates the sides of a right triangle. This formula is as follows:

a^2+b^2=c^2

Where (a) and (b) are the legs or the sides adjacent to the right angle of the right triangle, and (c) is the hypotenuse or the side opposite the right angle of the right triangle. Substitute the given values into the formula and solve for the unknown, or rather the height of the cone:

a^2+b^2=c^2

a^2+5^2=13^2

Simplify,

a^2+5^2=13^2

a^2+25=169

Inverse operations,

a^2+25=169

a^2=144

a=12

h=12

3. Find the surface area of the cone.

The following formula can be used to find the surface area of a cone:

A=\pi r(r+\sqrt{h^2+r^2})

Where (\pi) represents the numerical value (3.1415...), (r) represents the radius of the base, and (h) represents the height of the cone. Substitute the given values into the formula and solve for the surface area:

A=\pi r(r+\sqrt{h^2+r^2})

A=\pi 5(5+\sqrt{12^2+5^2})

Simplify,

A=\pi 5(5+\sqrt{12^2+5^2})

A=\pi 5(5+\sqrt{144+25})

A=\pi 5(5+\sqrt{169})

A=\pi 5(5+13)

A=\pi 5(18)

A=\pi 90

A\approx 282.743

3 0
3 years ago
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