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OLga [1]
3 years ago
12

What is the value of b? You may assume that the ray is tangent to the circle. A) 126 B)63 C)54 D)94

Mathematics
1 answer:
Arlecino [84]3 years ago
6 0

Answer:

Option B 63°

Step-by-step explanation:

we know that

If the ray is tangent to the circle

then

a°+b°=90° -----> by complementary angles

Remember that

The inscribed angle measures half that of the arc comprising

so

<u><em>Find the measure of inscribe angle a</em></u>

∠a=(1/2)[54°]=27°

Find the measure of angle b

a°+b°=90°

substitute

27°+b°=90°

b°=90°-27°=63°

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What is 36/100 added with 4/10
Ipatiy [6.2K]

Answer:

0.76 or 19/25

Step-by-step explanation:

Convert 4/10 so that it has a common denominator with 36/100.

4/10 x 10/10 = 40/100

Now that the denominator is the same, just add the top values.

40/100 + 36/100 = 76/100

We can also simplify the answer to be 19/25 by dividing the top and bottom by 4.

5 0
3 years ago
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Two angles of a quadrilateral measure 140° and 80°. The other two angles are in a
aliina [53]

Answer:

Step-by-step explanation :

Ratio = 3x : 4x

<h3>Sum of angle of a quadrilateral = 360</h3><h3>Therefore, 140+80+3x+4x = 360</h3><h3>220+7x = 360</h3><h3>7x = 360-220</h3><h3>x= 140/7</h3><h3>x=20</h3><h3>3x= 3×20=60</h3><h3>4x=4×20=80</h3>
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3 years ago
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What is the solution to the equation below? Round your answer to two decimal places. HELP PLEASE PLEASE HELP PLEASE ASAP PLEASE
Assoli18 [71]

the award is a x=1.43

6 0
3 years ago
A carpenter wants to build a rectangular box with square sides in which to put round things. the material for the bottom costs $
alexira [117]

Answer:1.627\times 1.627\times 1.88\ ft^3

Step-by-step explanation:

Given

Suppose side face have a dimension of l\times l

and width of h

volume V=l^2\cdot h

h=\frac{V}{l^2}

volume V=5 ft^3

Area of side wall is A_s=l^2

Area of top Wall A_t=l\times h

Area of bottom A_b=l\times h

Cost of bottom wall c_b=20\times l\times h=20lh

Cost of top wall c_t=50\times l\times h=50lh

Cost of side walls c_s=4\times l^2\times 10=40l^2

total cost C=c_s+c_t+c_b=20lh+50lh+40l^2

C=70lh+40l^2

C=70\times l\times \frac{5}{l^2}+40l^2

differentiate C w.r.t l to get minima or maxima

\frac{\mathrm{d} C}{\mathrm{d} l}=0

-\frac{350}{l}+80l^2=0

l^3=\frac{350}{80}

l=1.627 ft

h=\frac{5}{2.648}

h=1.88 ft

Dimension of Box is 1.627\times 1.627\times 1.88\ ft^3

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3 years ago
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Vsevolod [243]

Answer: 45 degrees

Step-by-step explanation:

Base angle theorem states that the base angles of an isosceles triangle are congruent, or the same.

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