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PilotLPTM [1.2K]
2 years ago
5

Solve for x by finding the missing side of the triangle. Round your answer to the nearest tenth ​

Mathematics
2 answers:
Alika [10]2 years ago
5 0

Answer:

i thought i had the answer but then i got it wrong im sorry

Step-by-step explanation:

vesna_86 [32]2 years ago
4 0

Answer:

Step-by-step explanation:

Remark

The side opposite (the side not connected to the angle) and the hypotenuse relate the sine

Equation

Sin(y) = opposite / hypotenuse

Solution

y = 41 degrees

hypotenuse = 12

x = ?

Sin(41) = x / 12                     Multiply both sides by 12

12 Sin(41) = x

Sin(41) = 0.6561

12 * 0.6561 = x

x = 7.8727

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A sum of money doubles itself in 16 2 years at certain rate of simple interest. How long will it take to double itself at the sa
Viefleur [7K]

Answer:

r=40% or .4

Step-by-step explanation:

32=16(1+r)^2

6 0
3 years ago
What is the equation of the line
kupik [55]

Answer:

y=-x+3.

Step-by-step explanation:

The graph goes down one and right one before making another point. This means that the slope is -1/1. Simplify and you get -1. So far we have y=-1x. -1x is the same as -1. Now we have y=-x. The graph intersects the y-axis at the point (0,3). This makes our y-intercept 3. Our final equation is y=-x+3.

8 0
2 years ago
A segment has endpoints (-9,-20) and (14,12). What is the midpoint of this segment
Darya [45]
((-9+14)/2, (-20+12)/2)
(5/2,-8/2)
(5/2,-4)
3 0
2 years ago
Terry and Callie do word processing. For a certain prospectus Callie can prepare it two hours faster than Terry can. If they wor
Dahasolnce [82]

Time taken by jerry alone is 10.1 hours

Time taken by callie alone is 8.1 hours

<u>Solution:</u>

Given:- For a certain prospectus Callie can prepare it two hours faster than Terry can

Let the time taken by Terry be "a" hours

So, the time taken by Callie will be (a-2) hours

Hence, the efficiency of Callie and Terry per hour is \frac{1}{a-2} \text { and } \frac{1}{a} \text { respectively }

If they work together they can do the entire prospectus in five hours

\text {So, } \frac{1}{a-2}+\frac{1}{a}=\frac{1}{5}

On cross-multiplication we get,

\frac{a+(a-2)}{(a-2) \times a}=\frac{1}{5}

\frac{2 a-2}{(a-2) \times a}=\frac{1}{5}

On cross multiplication ,we get

\begin{array}{l}{5 \times(2 a-2)=a \times(a-2)} \\\\ {10 a-10=a^{2}-2 a} \\\\ {a^{2}-2 a-10 a+10=0} \\\\ {a^{2}-12 a+10=0}\end{array}

<em><u>using quadratic formula:-</u></em>

x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

x=\frac{12 \pm \sqrt{144-40}}{2}

\begin{array}{l}{x=\frac{12 \pm \sqrt{144-40}}{2}} \\\\ {x=\frac{12 \pm \sqrt{104}}{2}} \\\\ {x=\frac{12 \pm 2 \sqrt{26}}{2}} \\\\ {x=6 \pm \sqrt{26}=6 \pm 5.1} \\\\ {x=10.1 \text { or } x=0.9}\end{array}

If we take a = 0.9, then while calculating time taken by callie = a - 2 we will end up in negative value

Let us take a = 10.1

So time taken by jerry alone = a = 10.1 hours

Time taken by callie alone = a - 2 = 10.1 - 2 = 8.1 hours

3 0
3 years ago
I WILL GIVE BRAINLEST FOR THE CORRECT ANSWER!
pentagon [3]

Answer:

A) -4

B) 4 units apart

C) no values of x

Step-by-step explanation:

1) slope of m: (3-2)/(10-8) = ½

m(x) = ½x + c

2 = ½(8) + c

c = -2

m(x) = ½x - 2

m(16) = 6

h(4) = (4-2)²/2 = 4/2 = 2

h(4)-m(16) = 2-6 = -4

B) y-intercept of:

*h(x) = ½(0-2)² = 2

*m(x) = -2

from the equation found before

2 - (-2) = 4 units apart

C) m(x) = (x-4)/2

m(x) > h(x)

(x-4)/2 > ½(x-2)²

x-4 > x²-4x+4

x²-5x+8 < 0

(x - 2.5)² + 1.75 < 0

Never negative

3 0
3 years ago
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