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
Dimas [21]
3 years ago
5

In right △ABC , the right angle is at C, m∠A=30 degrees , and AC=7√5 units.

Mathematics
1 answer:
Archy [21]3 years ago
4 0

Answer:

P=(7\sqrt{15}+7\sqrt{5})\ units

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the length side AB (hypotenuse)

we know that

cos(30^o)=\frac{AC}{AB}

substitute

cos(30^o)=\frac{7\sqrt{5}}{AB}

Remember that

cos(30^o)=\frac{\sqrt{3}}{2}

so

\frac{\sqrt{3}}{2}=\frac{7\sqrt{5}}{AB}

AB=\frac{14\sqrt{5}}{\sqrt{3}}

AB=\frac{14\sqrt{15}}{3}\ units

step 2

Find the length side BC

sin(30^o)=\frac{BC}{AB}

sin(30^o)=\frac{1}{2}

\frac{1}{2}=\frac{BC}{AB}

BC=\frac{AB}{2}

substitute the value of AB

BC=\frac{\frac{14\sqrt{15}}{3}}{2}

BC=\frac{7\sqrt{15}}{3}\ units

step 3

Find the perimeter

P=AB+BC+AC

substitute

P=\frac{14\sqrt{15}}{3}+\frac{7\sqrt{15}}{3}+7\sqrt{5}

P=\frac{21\sqrt{15}}{3}+7\sqrt{5}

P=(7\sqrt{15}+7\sqrt{5})\ units

You might be interested in
What is the answer to this math question
klasskru [66]

Answer:

C.

Step-by-step explanation:

3.3*10^3 / 7

= 3300/7

= 471.4

= 4.71*10^2

4 0
2 years ago
How do you write 11 /2 as a percentage?
yan [13]
The percentage would be would be 550%
4 0
3 years ago
Read 2 more answers
Click on image and please you can you answer . put the fractions in order please thank you. i will give you 5 stars and mark you
Sergeeva-Olga [200]

Answer:

Mean : 19.997

Mode : 1

Median : 4

Range : 0 - 9

Hope this helps

4 0
3 years ago
Greg bought 19 11/16 gallons of gas. What decimal should the meter on the gas pump read? (19 11/16 its a fraction) plss help &lt
Katena32 [7]

Answer:

That would be 19.6875 in decimal form.

Step-by-step explanation:

7 0
3 years ago
What makes a function 1-to-1
Lynna [10]

Answer:

1 to 1

Step-by-step explanation:

function f in more than one point, then the function is 1 to 1

6 0
3 years ago
Other questions:
  • Here is how Lydia found the product 4/5 x 10. Use the model given to show that Lydia’s answer is correct.
    5·1 answer
  • Plz help.....................
    14·1 answer
  • Find x in the given figure. (The vertical chord is a diameter.)
    6·1 answer
  • What function equation is represented by the graph?
    7·1 answer
  • A tool set is on sale for 424.15$. The original price set was 499.00$. What percent of the original price is the sale price?
    15·2 answers
  • Factor the GCF: 9a4b3 + 24a3b2 − 15a2b.
    6·2 answers
  • Which is bigger : 30 or <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B15%7D%20" id="TexFormula1" title=" \frac{4}{15} "
    5·1 answer
  • Write the equation of a line in point-slope form that is parallel to the line y = 3x +6 and passes through the point (-5, 8).
    13·2 answers
  • Evaluate for f ^-2 for f = 3 and g = 27 .
    13·2 answers
  • 7men have 7wives, each man and each wife have 7children what is total number of people​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!