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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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What is the volume of the square pyramid with base edges 54 yd and slant height 45 yd?
Effectus [21]
The answer is V = 34,992 y^3

You can answer this using an online calculator - calculator soup dot com under geometry then pyramid. Select given a (side length) and s (slant height). Enter the amounts to find V (volume).

To manually compute, get the h (height) first before computing for V (volume).

h^2 = l^2 - (s/2)^2  :  l (slant height), s (base edge/side)
h = √((45^2) - (54/2)^2)
h = 36

Then find V (volume) : s (side), h (height)

V = 1/3 (s^2)(h)
V = 1/3 (54^2)(36)
V = 34,992 y^3

7 0
3 years ago
The width of a box is two-third of it's length and height is one-third of it's length.If the volume of the box is 384 cubic mete
Black_prince [1.1K]

Answer:

Length = 12

Width = 8

Height = 4

Step-by-step explanation:

Let length of box = l

Width = 2/3 * l

Height = 1/3 * l

Volume of the box = 384 ft³

Volume = Length * width * height

Volume of box = l * 2/3 l * 1/3 l

384 = 2l³ / 9

384 * 9 = 2l³

3456 = 2l³

l³ = 3456 / 2

l³ = 1728

Take the Cube root of 1728

l = 12

Length = 12

Width = 2/3 * 12 = 8

Height = 1/3 * 12 = 4

5 0
2 years ago
If f(x)=x/2-2 and g(x)=2x^2+x-3, find (f+g)(x)
Lelu [443]
Hello : 
<span>If f(x)=x/2-2 and g(x)=2x^2+x-3, find (f+g)(x)
</span>(f+g)(x)= f(x) +g(x) = x/2-2  +2x²+x-3 = x/2 +2x²+x-5
(f+g)(x)= (x+4x²-2x-10) /2
(f+g)(x)= (4x²+3x-10)/2 = 2x²+3/2 x -5
4 0
3 years ago
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(8x - 6) - (7x - 9)<br><br> I hope you're open to me asking more questions in the reply &lt;3
Gekata [30.6K]

Answer:

x + 3

Step-by-step explanation:

Given

(8x - 6) - (7x - 9)

Distribute the first parenthesis by 1 and the second by - 1

= 8x - 6 - 7x + 9 ← collect like terms

= x + 3

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3 years ago
What is 3/10 and 1/5 by using common
astra-53 [7]

Answer:

10

Step-by-step explanation:

5*2=10

10*1=10

so 1/5=2/10

3 0
3 years ago
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