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
kicyunya [14]
3 years ago
11

A right triangle has an angle that measures 34 and the adjacent side measures 17. What is the length of the hypotenuse to the ne

arest tenth?
F. 20.5
G. 25.2
H. 30.4
J. 34

Mathematics
1 answer:
Mashcka [7]3 years ago
8 0

Answer:

20.5

Step-by-step explanation:

Let's label the vertices ABC as in the diagram below. Then

Data:

α = 34 °

β = 90 °

c = 17

Calculation:

cosα = AB/AC

Multiply each side by AC

ACcosα = AB

Divide each side by cosα

AC = AB/cosα = 17/cos34 ≈ 17/0.8290 ≈ 20.5

You might be interested in
the product of two consecutive positive even integers is 14 more than their sum. Set up an equation that can
alexandr1967 [171]

Required equation to determine two consecutive even number is x^{2}-16=0 and required numbers are 4 and 6.

<u>Solution:</u>

Given that product of two consecutive positive integer is 14 more that their sum.  Need to create the equation and solve it to get two numbers.

Let’s assume first even number be represented by x.

So second consecutive even number will be x + 2  

Sum of two consecutive number = (x) + (x + 2)

\Rightarrow Sum of two consecutive number = 2x + 2

Product of two consecutive number = (x) \times(x+2)=x^{2}+2 x

Product of two consecutive number is 14 more that sum of two consecutive numbers, so if we subtract 14 from product, we will get sum.

\begin{array}{l}{\Rightarrow\left(x^{2}+2 x\right)-14=2 x+2} \\\\ {=>x^{2}+2 x-2 x-14-2=0} \\\\ {\Rightarrow x^{2}-16=0} \\\\ {\Rightarrow x^{2}-4^{2}=0} \\\\ {\Rightarrow x^{2}=4^{2}} \\\\ {\Rightarrow x=4}\end{array}

One even number = x=4

Other even number = x + 2 = 4 + 2 = 6

Hence required equation to determine two consecutive even number is x^2 -16 = 0 and required numbers are 4 and 6.

8 0
4 years ago
What was left of A dollars after 45% of it was spent? (Show your work.)
anastassius [24]

Answer:

0.55A dollars

Step-by-step explanation:

If 45% of the money was spent, then the percentage left was

100% - 45%, or 55%.

Thus, to answer this question, we multiply (A dollars) by 0.55:

0.55A dollars was left after the expenditure of 45% of the original amount.

6 0
3 years ago
Kayla’s work to find the surface area of a composite solid formed when a rectangular prism and rectangular pyramid are joined at
docker41 [41]

Answer:

Option B

Step-by-step explanation:

The reason is because the surface area is not including the base of the pyramid and the top of the prism.

Option b.  she left out one of the faces of the solid she should have simplified 2((5)(7))+2((6)(7))+2[1/2(5)(9.3)]+2[1/2(6)(9.2)]+(5)(6)

Step-by-step explanation:

we know that

The surface area of the composite figure is equal to the surface area of the pyramid not including the base plus the surface area of the prism not including the top

so

SA= 285.7 units squared

5 0
4 years ago
Arrange from least to greatest.<br> 5/6 2/4 5/12
Jet001 [13]

Answer:

5/6=10/12. 2/4=6/12. 5/12

5/12. 2/4. 5/6

6 0
3 years ago
G prove that limx→∞(x 2 + 1)/x2 = 1 using the definition of limit at ∞.
Maslowich
\displaystyle\lim_{x\to\infty}\frac{x^2+1}{x^2}=1

means to say there is some number M for which any choice of \varepsilon>0 such that

x>M\implies\left|\dfrac{x^2+1}{x^2}-1\right|

Working backwards, we have

\left|\dfrac{x^2+1}{x^2}-1\right|=\left|1+\dfrac1{x^2}-1\right|=\dfrac1{x^2}
\implies\sqrt{\dfrac1{x^2}}

So, whenever x>M=\dfrac1{\sqrt\varepsilon}, we can always guarantee that \left|\dfrac{x^2+1}{x^2}-1\right|.
7 0
4 years ago
Other questions:
  • How can I solve this quadratic equation by factoring?
    12·1 answer
  • Jim has 2 times as many baseball cards as bob. Together they have 15 baseball cards. How many baseball cards does Jim have?
    7·1 answer
  • Whats 24 over 74 in fraction form?
    6·2 answers
  • What is the answer to 2 1/3 x 9=
    12·1 answer
  • What is the answer to this question
    15·1 answer
  • If Dianne has 1897 dollars in her account, and she has bought five pairs of pants for $164, 3 dogs for $387 and has 18 restauran
    6·1 answer
  • 2+5x+1/2x^3dx<br> Answer
    14·1 answer
  • The area of the square is 25 inches what is the measure on one side of the square??
    5·1 answer
  • 1<br> 5- + 6-<br> 8 10<br> +676<br> Estimate:<br> Sum:
    9·1 answer
  • Two different squares have an areas of 36m° and 49m°
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!