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miskamm [114]
3 years ago
8

Find 0.Trigonometry problems.

Mathematics
1 answer:
aivan3 [116]3 years ago
6 0

In the triangle with legs 7 and 9 cm, you can find the length of the hypotenuse by using the Pythagorean theorem. If the hypotenuse is x, then

7^2+9^2=x^2\implies x=\sqrt{130}

The other right triangle with leg 6 cm and containing the angle \theta satisfies

\sin\theta=\dfrac{6\,\rm cm}{\sqrt{130}\,\rm cm}\implies\theta=\sin^{-1}\dfrac6{\sqrt{130}}\approx31.75^\circ

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Angle XYZ = 2X° and angle PQR = (8X -20)°. If angle XYZ and angle PQR are supplementary, find the measure of each angle. Angle P
Alchen [17]

Answer:

PQR = 140

Step-by-step explanation:

Given

XYZ = 2X

PQR = 8X - 20

Required

Find PQR

Since both angles are supplementary, we have:

XYZ + PQR = 180

This gives:

2X + 8X - 20 = 180

10X - 20 = 180

Collect Like Terms

10X = 20 + 180

10X = 200

Divide through by 10

X = 20

Substitute 20 for X in PQR = 8X - 20

PQR = 8 * 20 -20

PQR = 140

7 0
3 years ago
Can you organize collections of numbers into mathematical sets?
Bezzdna [24]
Yes by 10's and hundreds and ones place and even and odd. And pine and composite
6 0
3 years ago
Bacteria vary somewhat in size, but a diameter of 1.5 μ m is not unusual.
Dmitrij [34]

Answer:

a) 1.8 × 10^-12 cm³ or 1.8 × 10^-12 cubic meters

b) 7.1 × 10^-6 mm² or 7.1 × 10^-6 square millimeters

Step-by-step explanation:

a) We are assuming that the shape of the bacteria is a sphere.

Hence, Volume of the Sphere(Bacteria) = 4/3 × π × r³

Diameter = 1.5 μm

Radius = Diameter/2 = 1.5μm/2

= 0.75μm

We are told that the volume should be in cubic centimeters

Converting 0.75μm to centimeters

1 μm = 1 × 10^-4 cm

0.75 μm =

Cross Multiply

= 0.75 μm × 1 × 10^-4 cm/ 1 μm

= 0.000075cm

Volume of the Sphere(Bacteria) = 4/3 × π × r³

= 4/3 × π × (0.000075)³

= 1.767145867 × 10^-12 cm³

Approximately as 2 significant figures = 1.8 × 10^-12 cm³

b) The formula for the Surface area of a Sphere = 4πr²

Diameter = 1.5 μm

Radius = Diameter/2 = 1.5μm/2

= 0.75μm

We are told that the surface area should be in square millimeters

Converting 0.75μm to millimeters

1 μm = 0.001 mm

0.75 μm =

Cross Multiply

= 0.75 μm ×0.001mm/ 1 μm

= 0.00075mm

Surface Area of a Sphere

= 4 × π × r²

= 4 × π × 0.00075²

= 7.06858 ×10^-6 mm²

Approximately to 2 significant figures

= 7.1 × 10^-6 mm²

6 0
3 years ago
How are the volume formulas of prisms and cylinders similar? How are they<br> different?
AysviL [449]

Answer:

They are both similar in the way that the formula is base multiplied by height. They are different because of the type of shape on the base.

Step-by-step explanation:

hope this helps

7 0
3 years ago
Whoevr answers this question correctly gets brainly<br><br>and show your work please
blsea [12.9K]

Answer:

1/4

Step-by-step explanation:

The chance of it landing heads up once would be 1/2

The chance of it landing heads up twice would be 1/4

The chance of it landing heads up three times would be 1/8

The chance of it landing heads up four times would be 1/16

See the pattern?

Pattern:  <em><u>Divide the denominator by 2.</u></em>

<h2><em>Please give brainliest!!! :) </em></h2>

3 0
3 years ago
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