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MariettaO [177]
3 years ago
10

Find the missing length. Give all answers in the simplest radical form.​

Mathematics
1 answer:
Solnce55 [7]3 years ago
8 0

Answer:

x = 2\sqrt{74}

Step-by-step explanation:

Since the triangle is right use Pythagoras' identity to solve for x

The square on the hypotenuse is equal to the sum of the squares on the other two sides, that is

x² = 14² + 10² = 196 + 100 = 296

Take the square root of both sides

x = \sqrt{296} = 2\sqrt{74}

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Evaluate tan45/sin30 . In your final answer, include all calculations.
Maslowich
From the identity \displaystyle{ \tan x= \frac{\sin x}{\cos x}, and from the values:

                 \sin45^{\circ}=\cos45^{\circ}= \frac{ \sqrt{2}}{2},

we have: \displaystyle{ \tan 45^{\circ}= \frac{\sin 45^{\circ}}{\cos 45^{\circ}}= \frac{ \frac{ \sqrt{2}}{2}}{\frac{ \sqrt{2}}{2}} =1.


We also know that \sin30^{\circ}= \frac{1}{2}.


Thus, \displaystyle{  \frac{\tan 45^{\circ}}{\sin30^{\circ}} = \frac{1}{\frac{1}{2}}=2.



Answer: 2
8 0
3 years ago
On a loan of $1200 at 15% annual interest, Shirley had to pay $135 interest. For how many months did she have the loan?
natulia [17]

Answer:

<u><em>9 months</em></u>

Step-by-step explanation:

Principal= P= $1200

Rate=R= 15%

Interest= I= $135

Time= T= ?

I=P*R*T/100

135= 1200*15*T/100

135*100=18000*T

13500/18000=T

T= 0.75 years

T= 0.75*12= 9 months

3 0
3 years ago
Read 2 more answers
What’s 3/4 x 22/7 x 2
Zolol [24]

Answer:

4\frac{5}{7}

Step-by-step explanation:

we just multiply numerator by numerator and denominator by denominator

3/4x22/7

66/28x2/1

132/28

4 20/28

4 5/7

Hopes this helps,please mark brainliest

3 0
1 year ago
Read 2 more answers
What is the value of the x variable in the solution to the following system of equations? 4x − 3y = 3 5x − 4y = 3
andrew-mc [135]
Solve <span>4x − 3y = 3 and  5x − 4y = 3

Step 1: Solve for x in 4x-3y=3:
4x-3y=3
4x-3y+3y=3+3y [Add 3y to both sides]
4x=3y+3
</span>\frac{4x}{4} =  \frac{3x+3}{4} [Divide both sides by 4]
x=\frac{3}{4}y+ \frac{3}{4}

Step 2: Substitute \frac{3}{4}y+ \frac{3}{4}<span> for x in 5x-4y=3
5x-4y=3
5(</span>\frac{3}{4}y+ \frac{3}{4}<span>)-4y=3
</span>\frac{-1}{4}y+ \frac{15}{4}  =3
\frac{-1}{4}y+ \frac{15}{4} - \frac{15}{4} =3- \frac{15}{4} [Subtract \frac{15}{4} to both sides]
\frac{-1}{4}y= \frac{-3}{4}
\frac{ \frac{-1}{4}y}{ \frac{-1}{4} }=  \frac{\frac{-3}{4}  }{ \frac{-1}{4}} [Divide both sides by \frac{-1}{4} ]
<span>y = 3

Step 3: Substitute 3 for y in x = </span>\frac{3}{4}y+ \frac{3}{4}
\frac{3}{4}y+ \frac{3}{4}
\frac{3}{4}(3)+ \frac{3}{4}
x = 3
5 0
3 years ago
This graph represents x−4y=−8. Which ordered pair is in the solution set of x−4y≤−8? (3, 2) (2, 3) (−3, 1) (3, −2)
Zigmanuir [339]

Answer:

B

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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