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3 years ago

HELP! Angle Sum Theorem - What does Y equal? WILL GIVE BRAINLIEST!

Mathematics

2 answers:

Dima020 [189]3 years ago

6 0

Answer:

42 degrees.

Step-by-step explanation:

The triangle containing angle y and 48 degrees is right angled.

So y + 48 = 90

y = 42 degrees.

Ilya [14]3 years ago

5 0

The sum of the 3 inside angles of a triangle need to equal 180.

Y = 180 - 90 - 48 = 42 degrees.

See attached picture:

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"What impact can a very large volcanic eruption have on earth's climate?" 1. It will warm the earth's surface as more lava is re

Ludmilka [50]

The impact of a very large volcanic eruption that have an effect on earth's climate is It will cool the earth's surface as radiation from the sun is blocked from entering the atmosphere.

Explanation:

A very large volcanic eruption will spew tonnes of fine dust particles (pyroclast) into the atmosphere. These particles will be spread over large area by wind and the particles will remain suspended in the air for longer periods before they settle on the earth's surface.

The suspended particles will block the sun, and by reflecting most of the sunlight before it reaches the earth’s surface, will cause the surface temperatures to drop.

This same phenomenon caused the demise of dinosaurs after a meteorite strike threw dust particles into the atmosphere that lingered for a long time smothering plant life too.

4 0

3 years ago

Hans wants to earn more than $51 trimming trees. He charges $7 per hour and pays $5 in equipment fees. What are the possible num

Flura [38]

Answer:

h ≤ 8

Step-by-step explanation:

Hans charges $7 per hour and pays $5 in equipment fees.

$5 is fixed in this case. Let the possible number of hours be h.

According to question,

Atleast means less than equal to. So,

7h-5≤51

Add 5 to both sides.

7h+5-5 ≤ 51+5

7h ≤ 56

h ≤ 8

So, the number of hours be less than equal to 8.

7 0

3 years ago

baherus [9]

Answer: see proof below

Step-by-step explanation:

Given: cos 330 = $\frac{\sqrt3}{2}$

Use the Double-Angle Identity: cos 2A = 2 cos² A - 1

$\text{Scratchwork:}\quad \bigg(\dfrac{\sqrt3 + 2}{2\sqrt2}\bigg)^2 = \dfrac{2\sqrt3 + 4}{8}$

Proof LHS → RHS:

LHS cos 165

Double-Angle: cos (2 · 165) = 2 cos² 165 - 1

⇒ cos 330 = 2 cos² 165 - 1

⇒ 2 cos² 165 = cos 330 + 1

Given: $2 \cos^2 165 = \dfrac{\sqrt3}{2} + 1$

$\rightarrow 2 \cos^2 165 = \dfrac{\sqrt3}{2} + \dfrac{2}{2}$

Divide by 2: $\cos^2 165 = \dfrac{\sqrt3+2}{4}$

$\rightarrow \cos^2 165 = \bigg(\dfrac{2}{2}\bigg)\dfrac{\sqrt3+2}{4}$

$\rightarrow \cos^2 165 = \dfrac{2\sqrt3+4}{8}$

Square root: $\sqrt{\cos^2 165} = \sqrt{\dfrac{4+2\sqrt3}{8}}$

Scratchwork: $\cos^2 165 = \bigg(\dfrac{\sqrt3+1}{2\sqrt2}\bigg)^2$

$\rightarrow \cos 165 = \pm \dfrac{\sqrt3+1}{2\sqrt2}$

Since cos 165 is in the 2nd Quadrant, the sign is NEGATIVE

$\rightarrow \cos 165 = - \dfrac{\sqrt3+1}{2\sqrt2}$

LHS = RHS $\checkmark$

4 0

3 years ago

An item has a listing of $40.if the sales tax rate is 4%,how much is the sales tax (in dollars)

dezoksy [38]

Answer:

1.6

Step-by-step explanation:

8 0

3 years ago

An you help me now with these |x + 2| + 16 = 1 i need help :( |2x + 6| − 4 = 20 nd help solving

krok68 [10]

|x + 2| + 16 = 1
 - 16 - 16
 |x + 2| = -15
 x + 2 = -15 U x + 2 = 15
 - 2 - 2 - 2 - 2
 x = -17 x = 13

|2x + 6| - 4 = 20
 + 4 + 4
 |2x + 6| = 24
 2x + 6 = 24 U 2x + 6 = -24
 - 6 - 6 - 6 - 6
 2x = 18 2x = -30
 2 2 2 2
 x = 9 x = -15

3 0

3 years ago