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3 years ago

Someone please answer this! THANKSSSS

Mathematics

2 answers:

iren2701 [21]3 years ago

8 0

Answer:

in right angled triangle MNO

relationship between base and hypotenuse is given by cos angle

cosx°=b/h

cosx°=OM/MN

x°=cos-1(26/99)=74.77=74.8°

vesna_86 [32]3 years ago

6 0

Answer:

∠ M ≈ 74.8°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos M = $\frac{adjacent}{hypotenuse}$ = $\frac{OM}{MN}$ = $\frac{26}{99}$ , then

∠ M = $cos^{-1}$ ( $\frac{26}{99}$ ) ≈ 74.8° ( to the nearest tenth )

You might be interested in

How can csc^2-cot^2 = 1?

Softa [21]

ANSWER

By simplifying the left hand side using the Pythagorean Identity.

EXPLANATION

The given identity is

$\csc^{2} (x) - \cot^{2} (x) = 1$

Take the left hand side and simplify to get the right hand side.

$\csc^{2} (x) - \cot^{2} (x) = \frac{1}{\sin^{2} (x)} - \frac{ \cos^{2} (x)}{\sin^{2} (x)}$

Collect LCM for the denominators.

$\csc^{2} (x) - \cot^{2} (x) = \frac{1 - \cos^{2} (x)}{\sin^{2} (x)}$

Recall the Pythagorean Identity.

$\cos^{2} (x) + \sin^{2} (x) = 1$

This implies that:

$1 - \cos^{2} (x) = \sin^{2} (x)$

We substitute this to get,

$\csc^{2} (x) - \cot^{2} (x) = \frac{\sin^{2} (x)}{\sin^{2} (x)}$

$\csc^{2} (x) - \cot^{2} (x) = 1$

6 0

3 years ago

Trina invited 60 people to her party and 42 said they would attend. What percent of people said they were NOT able to attend? Pl

Llana [10]

1. simplify 42/60 to 7/10 (42/60 divided by 2 is 21/30, 21/30 divided by 3 is 7/10)
2. if 10 x 10 = 100 than 7 x 10 = 70 so that would make it 70/100 which is 70%
so 70% is the answer

Hope this helps ;)
Please don't forget to mark as brainliest answer!

5 0

3 years ago

Read 2 more answers

Phoebe usually drives to work each day on a 12-mile road that is currently closed for construction. While the road is closed she

Mumz [18]

The total distance phoebe has to drive each day (round trip) while her usual route is closed is 42 miles

<h3>What is a Pythagoras theorem?</h3>

The square of the longest side is equal to the square of the sum of the othersides.

Before we can calculate the total distance, we will need to get the hypotenuse on both sides using the Pythagoras theorem as shown:

H^2= 12^2 + 9^2

H² = 144 + 81

H² = 225

H = 15

For the other hypotenuse

h² = 12² + 5²

h² = 144 + 25

h² = 169

h = 13 mils

The total distance = 5 + 15 + 9 + 13

The total distance = 42 miles

The total distance phoebe has to drive each day (round trip) while her usual route is closed is 42 miles

Learn more on Pythagoras theorem here: brainly.com/question/12306722

3 0

2 years ago

Alexander Litvinenko was poisoned with 10 micrograms of the radioactive substance Polonium-210. Since radioactive decay follows

koban [17]

Answer:

The amount of Polonium-210 left in his body after 72 days is 6.937 μg.

Step-by-step explanation:

The decay rate of Polonium-210 is the following:

$N(t) = N_{0}e^{-\lambda t}$ (1)

Where:

N(t) is the quantity of Po-210 at time t =?

N₀ is the initial quantity of Po-210 = 10 μg

λ is the decay constant

t is the time = 72 d

The decay rate is 0.502%, hence the quantity that still remains in Alexander is 99.498%.

First, we need to find the decay constant:

$\lambda = \frac{ln(2)}{t_{1/2}}$ (2)

Where t(1/2) is the half-life of Po-210 = 138.376 days

By entering equation (2) into (1) we have:

$N(t) = N_{0}e^{-\frac{ln(2)}{t_{1/2}}*t}} = 10* \frac{99.498}{100}*e^{-\frac{ln(2)}{138.376}*72} = 6.937 \mu g$

Therefore, the amount of Polonium-210 left in his body after 72 days is 6.937 μg.

I hope it helps you!

8 0

3 years ago

Help pls and no links

aalyn [17]

Answer:

y > 4x - 2

Step-by-step explanation:

The basic format of a line in slope-intercept form is,

$y=mx+b$

This format undergoes no change when one implements it for the use of a two-variable inequality.

The parameter (m) represents the slope of a line, this can be found by using the formula ( $\frac{rise}{run}$ ). Traditionally, one would use a formula to find the slope of a line that is the following, ( $\frac{y_2-y_1}{x_2-x_1}$ ). However, in the given situation, one can simply count the number of boxes from one point with respect to the x-axis to another, and thus get (4).

The parameter (b) represents the point in which the graph intersects the y-axis, one can see that this point is (-2).

Since the line is dotted, one would only use the greater than symbol, not the greater than or equal-too-symbol.

Finally, since the area above the line is shaded, therefore one knows that it is (y) is greater than.

5 0

3 years ago