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
PIT_PIT [208]
3 years ago
7

If secθ = 13/12 and 270° < θ < 360°, then tanθ = _____.

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
4 0

Answer:

tan Ф = opposite / adjacent = a / b=5/12

Step-by-step explanation:

sec Ф = hypotenuse / adjacent = c / b=13/12

tan Ф = opposite / adjacent = a / b

find a

a^2+b^2=c^2

a=√c^2-b^2 b=12 and c=13

a=√144-169=√25=5

You might be interested in
A palm tree casts a shadow that is 28 feet long. A 6-foot sign casts a shadow 8 feet long.
s2008m [1.1K]

Answer: The height of the palm tree is 21 feet.

Step-by-step explanation:

We can use a ratio to solve this:

Actual height to shadow for both objects. The fraction equivalents must be equal.

6/8 = x/28 . Cross multiply

6(28) = 8x

168 = 8x   Divide both sides by 8  (8's "cancel" on the right)

168/8 =8x/8

21 = x . This gives us the tree's height as 21 feet.

<em>Another way to solve this is to use the ratios, but simplify the first fraction</em>

<em>6/8 = 3/4</em>

<em>Then multiply the length of the shadow by 3/4</em>

<em>3/4 × 28 = height</em>

<em>28÷4 = 7    7 × 3 = 21</em>

<em>21  feet= the height of the palm tree.</em>

3 0
3 years ago
Linda. owed 8 lawns this week and earned $56. how much would Linda have earned if she had mowed 10 lawns?
Drupady [299]
56 / 8 = 7
7 * 10 = 70

She would have earned $70

6 0
3 years ago
Is 0.8-3 equal to -2.2
Marysya12 [62]

Answer:

Yes, they are equal.

Step-by-step explanation:

-3.0 + 0.8 = -2.2

<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em>.</em>

8 0
2 years ago
An artist builds a sculpture out of metal and wood that weighs 14.9 kilograms.
Ira Lisetskai [31]

Answer:

Given is a sculpture that is built up of metal and wood, and the weight of this sculpture is 14.9 kilograms.

It says that three-fourth of the total weight is metal and says to find the weight of wooden part.

We can find the weight of metal part and then subtract it from the total weight to calculate the answer.

Step-by-step explanation:

Total weight = 14.9 kilograms.

Metal part = three-fourth of total weight =

Wooden part = 14.9 - 11.175 = 3.725 kilograms.

Hence, the wooden part is 3.725 kilograms.

8 0
3 years ago
Read 2 more answers
One leg of a triangle is 7 inches. another leg measures 5 inches. if the perimeter of the triangle is 19 inches, find the length
Setler79 [48]

SOLUTION

A triangle has three sides. The sides of this triangle are 7 inches, 5inches and the unknown side.

Let the unknown side be x inches.

Perimeter is distance around a plane shape.

The perimeter of this triangle is 19,

\begin{gathered} \text{  That is the perimeter  1}9=7+5+x \\ 19\text{ = 12 }+x \\ x\text{ = 19 - 12 } \\ x\text{ = 7 inches } \end{gathered}

Therefore, the other side is 7 inches

6 0
1 year ago
Other questions:
  • What is the correct equation for direct variation that includes the point (6, –3)?
    7·1 answer
  • The function D(h)=25h+50 models the distance a train traveled from a station, in miles, h hours after crossing a bridge, what is
    15·2 answers
  • Heather sampled the ages of 50 randomly selected people that frequented a store and obtained a mean of 24. She constructed a 95%
    9·1 answer
  • There were a total of 800 novels and nonfiction books at a book shop. 2/5 of these books were novels. Each novel was priced at $
    7·1 answer
  • Is x=4 and y=5 perpendicular
    10·1 answer
  • SOMEONE HELP PLEASE (DO IT RIGHT AND INCLUDE STEP BY STEP EXPLANATION SO I COULD UNDERSTAND HOW TO DO IT LMA.O)
    7·1 answer
  • Kim has 5 yards of denim. She cuts each yard of denim into thirds. How many 1/3-yard pieces of denim does she have?
    13·2 answers
  • Can you guys help me out for my math test <br> on usa test prep
    8·1 answer
  • Is N² + N always an even number? Explain
    10·1 answer
  • NO LINKS!!!<br><br>Sketch the Empirical Rule normal distribution graph​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!