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3 years ago

How do I find the measure of angle 1 and 2

Mathematics

1 answer:

Dvinal [7]3 years ago

4 0

Angle 1 is a vertical angle in relation to the given angle, 117°, so it has the same measure.

Angle 2 is a corresponding angle to angle 1 where the transversal crosses parallel lines, so it has the same measure. (It is also an alternate exterior angle with respect to 117°, so has the same measure.)

∠1 = ∠2 = 117°

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A cone has volume of 12\pi cubic inches. Its height is 4 inches. What is its radius?

asambeis [7]

The radius of cone is 3 inches.

Step-by-step explanation:

Given,

Volume of cone = 12π cubic inches

Height of cone = 4 inches

Let,

r be the radius of cone.

Volume of cone = $\pi r^2\frac{h}{3}$

$\pi r^2\frac{4}{3}=12\pi$

Multiplying both sides by 3

$3*\pi r^2\frac{4}{3}=12\pi * 3\\4\pi r^2 =36\pi$

Dividing both sides by 4π

$\frac{4\pi r^2}{4\ pi}=\frac{36\pi }{4\pi }\\\\r^2=9$

Taking square root on both sides

$\sqrt{r^2}=\sqrt{9}\\r=3$

The radius of cone is 3 inches.

Keywords: volume, radius

Learn more about volume at:

#LearnwithBrainly

6 0

3 years ago

Which equation best represents Fallon's earnings in terms of Donald's earnings?

Marianna [84]

B because your adding 7 to x to get your y

5 0

3 years ago

Really need help with this .

lions [1.4K]

Answer:

Step-by-step explanation:

The attached photo shows the diagram of quadrilateral QRST with more illustrations.

Line RT divides the quadrilateral into 2 congruent triangles QRT and SRT. The sum of the angles in each triangle is 180 degrees(98 + 50 + 32)

The area of the quadrilateral = 2 × area of triangle QRT = 2 × area of triangle SRT

Using sine rule,

q/SinQ = t/SinT = r/SinR

24/sin98 = QT/sin50

QT = r = sin50 × 24.24 = 18.57

Also

24/sin98 = QR/sin32

QR = t = sin32 × 24.24 = 12.84

Let us find area of triangle QRT

Area of a triangle

= 1/2 abSinC = 1/2 rtSinQ

Area of triangle QRT

= 1/2 × 18.57 × 12.84Sin98

= 118.06

Therefore, area of quadrilateral QRST = 2 × 118.06 = 236.12

6 0

3 years ago

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Convert 750ft to metre

Angelina_Jolie [31]

One meter is composed of approximately 3.28 feet. To convert a certain measure in feet to meter, divide the number by 3.28. From the given above, using dimensional analysis and the conversion factor,

(750 ft) x (1 m/ 3.28 ft) = 228.66 m

Thus, 750 ft is approximately 228.66 in meters.

6 0

3 years ago

Please help me find this.

VMariaS [17]

Answer:

Square I think

Step-by-step explanation:

4 0

2 years ago

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