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umka21 [38]
3 years ago
14

What is the original number?

Mathematics
1 answer:
notsponge [240]3 years ago
8 0
The number is 20. 20+10 (half of 20) + 4 (a fifth of 20) = 34
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PLEASE, I'M STUCK! Sketch the graphs of x = 7 and y=-1. Then find the point at which the two graphs intersect.
ycow [4]
Hello!

I have attached three graphs. The first one for x = 7, second one for y = -1, and third one with both x = 7 and y = -1 on the same graph. 

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3 0
3 years ago
Find sin 2x, cos 2x, and tan 2x from the given information.<br> cscx=4,tanx&lt;0.
lutik1710 [3]

Answer:

Step-by-step explanation:

Given the expression cosec (x) = 4 and tan(x)< 0

since cosec x = 1/sinx

1/sinx = 4

sinx = 1/4

From SOH, CAH TOA

sinθ = opposite/hypotenuse

from sinx = 1/4

opposite = 1 and hypotenuse = 4

to get the adjacent, we will use the Pythagoras theorem

adj² = 4²-1²

adj² = 16-1

adj ²= 15

adj = √15

cosx = adj/hyp = √15/4

tanx = opposite/adjacent = 1/√15

since tan < 0, then tanx = -1/√15

From double angle formula;

sin2x = 2sinxcosx

sin2x = 2(1/4)(√15/4)

sin2x = 2√15/16

sin2x = √15/8

for cos2x;

cos2x = 1-2sin²x

cos2x = 1-2(1/4)²

cos2x = 1-2(1/16)

cos2x= 1-1/8

cos2x = 7/8

for tan2x;

tan2x  = tanx + tanx/1-tan²x

tan2x = 2tanx/1-tan²x

tan2x = 2(-1/√15)/1-(-1/√15)²

tan2x = (-2/√15)/(1-1/15)

tan2x = (-2/√15)/(14/15)

tan2x = -2/√15 * 15/14

tan2x = -30/14√15

tan2x = -30/7√15

rationalize

tan2x =  -30/7√15 * √15/√15

tan2x =  -30√15/7*15

tan2x =  -2√15/7

5 0
3 years ago
GIVING BRAINLIEST PLEASE HELP!!
barxatty [35]

Answer:

d.     hope I get it right I never got brainliest

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A recipe needs 23 cup(s) of sugar for every 212 cups of flour. If you plan to use 10 cups of flour, how much sugar will you need
arlik [135]

Answer: you will need approximately 23 grams

Step-by-step explanation: but thats approximately

4 0
4 years ago
Two complementary angles are represented by x and x+14 . find the value of x
qaws [65]

Answer:

x=38\textdegree

Step-by-step explanation:

Remember that complementary angles <em>always </em>add up to 90°.

We know that the two complementary angles are represented by (x) and (x+14). In other words:

(x)+(x+14)=90

So, let's solve for x.

First, combine like terms:

2x+14=90

Let's isolate the x by subtracting 14 from both sides:

(2x+14)-14=(90)-14

The left cancels. Subtract on the right:

2x=76

Divide both sides by 2:

\frac{2x}{2}=\frac{76}{2}

The left side cancels. Divide on the right:

x=38\textdegree

So, the value of x is 38°.

And we're done!

6 0
3 years ago
Read 2 more answers
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