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
mojhsa [17]
3 years ago
14

A 19 = 548 and a 33 = 968 Find a 27

Mathematics
1 answer:
s2008m [1.1K]3 years ago
4 0

Answer:

The value of a₂₇ is 788

Step-by-step explanation:

a₁₉ = 548

a₃₃ = 968

Now,

a₁₉ = 548 can be written as

a + 18d = 548 ...(1) and

a₃₃ = 968 can be written as

a + 32d = 968 ...(2)

Now, from equation (2) we get,

a + 32d = 968

a + 18d + 14d = 968

548 + 14d = 968 (.°. <u>a + 18d = 548</u>)

14d = 968 - 548

14d = 420

d = 420 ÷ 14

d = 30

Now, for the value of a put the value of d = 30 in equation (1)

a + 18d = 548

a + 18(30) = 548

a + 540 = 548

a = 548 - 540

a = 8

Now, For a₂₇

a₂₇ = a + 26d

a₂₇ = 8 + 26(30)

a₂₇ = 8 + 780

a₂₇ = 788

Thus, The value of a₂₇ is 788

<u>-TheUnknownScientist</u>

You might be interested in
How do you find y = x + 8. x + y = 2 in substitoun form
Arturiano [62]
You plug in x + 8 for y in the second equation.
answer: x + x + 8 = 2
4 0
2 years ago
Suppose a triangle has to size of lint 42 and 35 and the angles between these 2 sides is 120 which equated should you solve to f
Brilliant_brown [7]

Answer:

7\sqrt{91}\ units or 66.78\ units

Step-by-step explanation:

we know that

Applying the law of cosines

c^{2}=a^{2}+b^{2}-2abcos(C)

In this problem we have

a=42\ units, b=35\ units, C=120\°

c is the length of the third side

Substitute

c^{2}=42^{2}+35^{2}-2(42)(35)cos(120\°)

c^{2}=1,764+1,225-2,940cos(120\°)

c^{2}=4,459

c=\sqrt{4,459}\ units

c=7\sqrt{91}\ units or c=66.78\ units

5 0
2 years ago
The side length of a square S can be determined by the formula S equals the square root of a where a represents the area of the
kakasveta [241]

Answer:the side length of a square with the area 0.09 square meter is 0.3 meter.

Step-by-step explanation:

The side length of a square S can be determined by the formula S equals the square root of a where a represents the area of the square. It means that

S = √a

Therefore, the side length of a square with the area 0.09 square meter would be

S = √0.09 = 0.3 meter

7 0
3 years ago
Given △ABC≅△JKL, m∠B=55°, and m∠L=25°, what is the measure of ∠J?
8_murik_8 [283]
For the answer to the question above, 
<span><J = 100
</span><span>because they are similar they have the same angles
</span>The two triangles are similar, so they must have corresponding angles. Thats one way to define similarity, it can dilate (zoom in /zoom out) , but the angles are preserved. You can also define similarity in terms of the proportionality of the sides. 

"Given △ABC≅△JKL"

The order of the letters counts. 
<A = <J
<B = <K
<C = <L

<span>now you can draw two generic triangles, which have the same three angles, but label the angles accordingly, so they match up.
</span>
<span>then by correspondance we can fill in
</span>nightowlthe third angle can be found by the fact that 
the three angles must add up to 180.
6 0
3 years ago
Read 2 more answers
Am I stoopid for not knowing this?
WARRIOR [948]

Answer:

12

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • At the beginning of the month a store had a balance of −$554. During the month the store lost another $600. What is the current
    13·2 answers
  • What are the zeros of the function f(x)=x^2-2x-15?
    7·2 answers
  • Bob is a travel agent. He receives 7% commission when he books a cruise for a customer. How much commission will he receive for
    7·1 answer
  • PLEASE HURRY !!!!!
    8·1 answer
  • Diego's family car holds 14 gallons of fuel. Each day the car uses 0.6 gallons of fuel. A warning light comes on when the remain
    12·2 answers
  • The answer for my quiz
    13·1 answer
  • The accompanying table shows the number of bacteria present in a certain culture over a 4 hour period, where x is the time, in h
    10·1 answer
  • Simplify (4xy-2x)+(2x^2+8x)
    5·1 answer
  • Madelyn is knitting a scarf for a holiday gift. So far, it's 4.5 centimeters long. She plans to
    5·1 answer
  • It’s supposed to answer in simplest formIf I die is rolled one time find the probability of
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!