1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nlexa [21]
2 years ago
7

URGENT PLEASE HELP!!!! GIVING BRAINLIEST!! If you answer this correctly ill answer some of your questions you have posted! (39pt

s)

Mathematics
1 answer:
Musya8 [376]2 years ago
8 0

Answer:

ΔMNO= 90°, <em>m </em>= 7.316 cm, <em>n</em> = 16.69 cm

Step-by-step explanation:

The little square in the corner tells you that the angle is 90°

<u><em>Calculating the length of m</em></u>

We know that the Tangent of an angle is gotten by dividing the <u>opposite</u> side by the <u>adjacent</u> side, i.e,

Tan Ф = Opposite ÷ Adjacent

hence:

Tan 26° = <em>m </em>÷ 15

0.4877 = <em>m </em>/ 15

make <em>m </em>the subject and multiply both sides by 15

0.4877 × 15 = <em>m </em>/ 15 × 15

7.3155 = <em>m</em>

∴ <em>m </em>= 7.316 cm

<u><em>Calculating the length of n</em></u>

For this we can use the Pythagoras theorem that states, a² + b² = c² where <em>m </em>= <em>a</em><em>, </em><em>b </em>=<em> </em>15 cm and <em>c</em> = <em>n</em>. Hence:

7.316² + 15² = <em>c </em>²

53.52 + 225 = <em>c ²</em>

278·52 = <em>c ²</em>

<em>c</em> = √278·52

<em>c</em> = 16.69

∴ <em>n </em>= 16.69 cm

We could also use the Cosine of ΔOMN to get length <em>n </em>i.e,

The Cosine of an angle is equal to the adjacent side divided by the hypotenuse.

Cosine Ф = Adjacent ÷ Hypotenuse

Cosine 26° = 15 cm ÷ <em>n</em>

0.8987 = 15 / <em>n</em>

Make 15 the subject and multiply both sides by <em>n</em>

0.8987 × <em>n  </em>= 15 / <em>n </em>× <em>n</em>

0.8987 <em>n </em>= 15

Divide both sides by 0.8987

0.8987 <em>n </em>÷ 0.8987 = 15 ÷ 0.8987

∴ <em>n </em>= 16.69 cm

Hope this helps!

You might be interested in
(-2)^-5 simplify can someone help me please thank you (:
Vikki [24]
-0.03125 this would be the answer to that problem

5 0
2 years ago
Read 2 more answers
1. The county fair charges $1.25 per Sicket for the rides. Jermaine bought 25 tickets for the rides and spent a
schepotkina [342]

Answer:

A

Step-by-step explanation:

6 0
3 years ago
Find the measurement of angle a.<br> ∠a =
Softa [21]

To find the measure of angle a, subtract 151 from 180. (Reason: line w equals 180º, and the second angle is the same size as the 151º angle.)

180 - 151 = 29

<h2>Answer:</h2>

<u>Angle a = </u><u>29º</u>

3 0
3 years ago
Cv0627
kari74 [83]

Answer:

dr. potter provides 54 vaccinations TOTAL (including both measles and polio).

p+m=54

since there are 4 doses of polio and of measles, you have to use a variable to distinguish how many doses were given for measles and polio out of 142 given doses.

4p+2m=142

p+m=54

4p+2m=142

^^system of equation

p+m=54

4p+2m=142

p=54-m

4p+2m=142

(substitute 54-m to the equation)

4(54-m)+2m=142

m=37

(collect like terms, then substitute the value of m into the first equation)

p=54-37

p=17

(m, p)=(37, 17)

Step-by-step explanation:

i hope this helps, sorry for the wait

5 0
2 years ago
The positions of two divers from the water's surface after a dive are shown: Julie: −38 feet Sue: −45 feet Which inequality expl
shtirl [24]

Answer:

Julie < 38 feet < Sue < 45 feet

Step-by-step explanation:

We know that Julie is less than 38 feet closer to the water's surface, and also we know that Sue is less than 45 feet from the water's surface but farther than 38 feet, because Julie is closer, so we can write this as the inequality that says, Julies is less than 38 feet, 38 feet is less than Sue's distance who is less than 45 feet from the surface:

Julie < 38 feet < Sue < 45 feet

5 0
3 years ago
Other questions:
  • For a button to fit through its buttonhole, the hole needs to be the size of the button's diameter. What
    13·2 answers
  • Case 4 – House Price. A small data set contains information on House Price (Y) in dollars, as well as predictors: number of Cars
    15·1 answer
  • It's possible to build a triangle with side lengths of 3.3, and 9<br> A. True<br> B. False
    12·1 answer
  • Yuki bought a pound of confetti for 12$. What is the price, in dollars, per ounce of confetti?
    5·1 answer
  • Starting temperature is 21°C, the highest temperature is 32c. What is the change in temperature? _____​
    12·1 answer
  • Adrian has a points card for a movie theater.
    13·1 answer
  • Mr. Barrientos can run 2 ½ miles in 2 hours. How many miles can he run in 6 hours? Show your work.
    15·1 answer
  • (-32ux+19u^2x^3-12u^6x^7) divided by (-4u^2x^3)
    15·1 answer
  • The temperature dropped 3 degrees
    14·1 answer
  • A circle has a diameter with endpoints at (0, 4) and (0, –8). What is the approximate area of the circle?
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!