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3 years ago

Math help/ battle !!

Mathematics

2 answers:

alisha [4.7K]3 years ago

5 0

Answer:

The missing angle is 40 degrees

Step-by-step explanation:

Tan = opposite / adjacent

Tan ? = 24 / 29

24 / 29 = 0.8275

Tan-1 of 0.8275 is 39.610

Round to the nearest degree

39.610 = 40

monitta3 years ago

3 0

Answer:

Step-by-step explanation:

Here you have a right triangle with the side lengths 24 and 29 and are asked to find the measure of the smallest angle.

In cases like this you should ask yourself which trig function includes the lengths of the legs (that is, the lengths of the side opposite the angle and the side adjacent to the angle). That would be the tangent function, and so:

tan (?) = (opposite side) / (adjacent side)

Here, tan x = 24/29 = 0.691. Note: I used my TI-83Plus calculator to determine that the measure of angle x in radians is 0.691.

The unknown angle is 0.691 radians, or (multiplying that by the conversion factor (180/pi) ) 39.6 degrees. To the nearest degree, that'd be 40 degrees.

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The first term of an arithmetic sequence is -5, and the tenth term is 13. Find the common difference.

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3 years ago

Help please!! i will give brainliest

Lady bird [3.3K]

Answer:

$for \: - 1 \leqslant x < 1 \: y = - 3 \\ for \: \: 1 \leqslant x < 3 \: \: y = 1 \\ for \: 3 \leqslant x \leqslant 5 \: y = 5$

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3 years ago

Part 1. Determine the molar mass of a 0.622-gram sample of gas having a volume of 2.4 L at 287 K and 0.850 atm. Show your work.

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If a sample of gas is a 0.622-gram, volume of 2.4 L at 287 K and 0.850 atm. Then the molar mass of the gas is 7.18.

<h3>What is an ideal gas equation?</h3>

The ideal gas equation is given below.

$PV = nRT$

The equation can be written as

$\rm PV = \dfrac{m}{M} \ RT\\\\\\MPV = mRT$

Where M is the molar mass, P is the pressure, V is the volume, R is the universal gas constant, T is the temperature, and m is the mass of the gas.

Then the molar mass of a 0.622-gram sample of gas has a volume of 2.4 L at 287 K and 0.850 atm.

V = 2.4 L = 0.0024

P = 0.85 atm = 86126.25 Pa

T = 287 K

m = 0.622

R = 8.314

Then we have

$\begin{aligned} \rm M \times 86126.25 \times 0.0024&= 0.622 \times 8.314 \times 287\\\\\rm M &= 7.18 \end{aligned}$

Then the molar mass of the gas is 7.18.

More about the ideal gas equation link is given below.

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2 years ago

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sveticcg [70]

a. Central angle in the circle is: Angle BAC

b. A major arc is: Arc BEC

c. A minor arc is: Arc BC

d. m(arc BEC) = 260°.

e. m(arc BC) = 100°.

<h3>What is the Central Angle Theorem?</h3>

The central angle theorem states that: the central angle measure of a circle equals the measure of the intercepted arc.

<h3>What is a Central Angle?</h3>

A central angle is formed by two radii of a circle, and the vertex of the angle is at the center of the circle.

<h3>What is a Major Arc?</h3>

Any arc that is more than half a circle (semicircle) or has a measure that is greater than 180 degrees, is referred to as a major arc of that circle. The measure of the major arc > 180 degrees.

<h3>What is a Minor Arc?</h3>

Any arc that is not more than half a circle (semicircle) or has a measure that is less than 180 degrees, is referred to as a minor arc of that circle. The measure of the minor arc < 180 degrees.

a. One central angle that can be identified in circle A is: Angle BAC

b. A major arc that can be identified in circle A is: Arc BEC

c. A minor arc that can be identified in circle A is: Arc BC.

d. According to the central angle theorem, we have:

m(arc BEC) = 360 - 100

m(arc BEC) = 260°

e. We are given that m(angle BAC) = 100°, therefore, according to the central angle theorem, we have:

m(arc BC) = m(angle BAC )

m(arc BC) = 100°

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Answer:

Step-by-step explanation:

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