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2 years ago

6

April took out a $600 loan from the

1 answer:

VARVARA [1.3K]2 years ago

4 0

Answer:

2%

Step-by-step explanation:

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An arc is 6.5 cm long and it subtends a central angle of 45 degrees. Find the radius of the circle.

Orlov [11]

Arc length = radius * central angle (measured in radians)
There are <span> <span> <span> 57.2957795131 </span> </span> </span> degrees per radian so
45 degrees = (45 / <span> <span> <span> 57.2957795131) = </span></span></span> <span> <span> <span> 0.7853981634 </span> </span> </span> radians<span><span> </span> </span>
radius = arc length / central angle (radians)
radius = 6.5 / <span> <span> 0.7853981634 </span> </span> radians = <span> <span> <span> 8.2760570408 </span> </span> </span> cm

http://www.1728.org/radians.htm

8 0

3 years ago

The ratio of the measures of the three angles in a tangle 3107. Find the measures of the angles and write them in size order,

N76 [4]

Answer:

27, 90 and 63

Step-by-step explanation:

Given

Ratio of triangle sides

$Ratio = 3 : 10 : 7$

Required:

The length of each side

Triangles in a triangle add up to 180.

The side with ratio 3 is:

$S_1 = \frac{3}{3 + 10 + 7} *180$

$S_1 = \frac{3 *180}{20}$

$S_1 = \frac{540}{20}$

$S_1 = 27$

The side with ratio 10 is:

$S_2 = \frac{10}{3 + 10 + 7} *180$

$S_2 = \frac{10 *180}{20}$

$S_2 = \frac{1800}{20}$

$S_2 = 90$

Lastly:

The side with 7 as its ratio

$S_3 = \frac{7}{3 + 10 + 7} *180$

$S_3 = \frac{7 *180}{20}$

$S_3 = \frac{1260}{20}$

$S_3 = 63$

Hence, the angles are: 27, 90 and 63

5 0

3 years ago

Solve. 90<img src="https://tex.z-dn.net/?f=x" id="TexFormula1" title="x" alt="x" align="absmiddle" class="latex-formula"> = 27.

Irina-Kira [14]

Answer: $x$ ≈ $0.732$

Step-by-step explanation:

You need to find the value of the variable "x".

To solve for "x" you need to apply the following property of logarithms:

$log(m)^n=nlog(m)$

Apply logarithm on both sides of the equation:

$90^x=27\\\\log(90)^x=log(27)$

Now, applying the property mentioned before, you can rewrite the equation in this form:

$xlog(90)=log(27)$

Finally, you can apply the Division property of equality, which states that:

$If\ a=b,\ then\ \frac{a}{c}=\frac{b}{c}$

Therefore, you need to divide both sides of the equation by $log(90)$ . Finally, you get:

$\frac{xlog(90)}{log(90)}=\frac{log(27)}{log(90)}\\\\x=\frac{log(27)}{log(90)}$

$x$ ≈ $0.732$

7 0

3 years ago

The ratio of the number of girls to the number of boys in choir is 4 to 5. There are 32 girls in the choir. How many boys are in

TEA [102]

Answer:

what grade is this

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Find the sum of the sequence 38+39+40+........+117

leva [86]

The answer is 6200
i think
your welcome

6 0

3 years ago