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
andrey2020 [161]
3 years ago
14

Is 2 a solution of 4z + 12 = 4? Complete the statement.​

Mathematics
2 answers:
kvv77 [185]3 years ago
8 0

Answer:

The solution is -2

Step-by-step explanation:

4z + 12 = 4

Subtract 12 on each side (4z + 12 - 12 = 4 - 12)

4z = -8

Divide 4 on each side (4z / 4 = -8 / 4)

z = -2

hodyreva [135]3 years ago
7 0

Answer:

No im pretty sure its not a solution.

Step-by-step explanation:

See if “z” is 2 than the answer to the solution would be 20

You might be interested in
Simplify: a + 2a + 3a + 4a
oksian1 [2.3K]

You just need to factor a to get

a(1+2+3+4) = 10a

5 0
3 years ago
Match each number with its place in order from smallest (1st) to largest (6th).
zheka24 [161]
90 would be the largest then 59,48, -56, -80, and leaving -84 to be the smallest
8 0
2 years ago
Question 5 and 6 I need answers to
Nimfa-mama [501]

Answer:

and also mark me the brainliest for the answer

Step-by-step explanation:

4 0
1 year ago
Will mark brainliest for the correct answer!
romanna [79]

Part (a)

Focus on triangle PSQ. We have

angle P = 52

side PQ = 6.8

side SQ = 5.4

Use of the law of sines to determine angle S

sin(S)/PQ = sin(P)/SQ

sin(S)/(6.8) = sin(52)/(5.4)

sin(S) = 6.8*sin(52)/(5.4)

sin(S) = 0.99230983787513

S = arcsin(0.99230983787513)

S = 82.889762826274

Which is approximate

------------

Use this to find angle Q. Again we're only focusing on triangle PSQ.

P+S+Q = 180

Q = 180-P-S

Q = 180-52-82.889762826274

Q = 45.110237173726

Which is also approximate.

A more specific name for this angle is angle PQS, which will be useful later in part (b).

------------

Now find the area of triangle PSQ

area of triangle = 0.5*(side1)*(side2)*sin(included angle)

area of triangle PSQ = 0.5*(PQ)*(SQ)*sin(angle Q)

area of triangle PSQ = 0.5*(6.8)*(5.4)*sin(45.110237173726)

area of triangle PSQ = 13.0074347717966

------------

Next we'll use the fact that RS:SP is 2:1.

This means RS is twice as long as SP. Consequently, this means the area of triangle RSQ is twice that of the area of triangle PSQ. It might help to rotate the diagram so that line PSR is horizontal and Q is above this horizontal line.

We found

area of triangle PSQ = 13.0074347717966

So,

area of triangle RSQ = 2*(area of triangle PSQ)

area of triangle RSQ = 2*13.0074347717966

area of triangle RSQ = 26.0148695435932

------------

We're onto the last step. Add up the smaller triangular areas we found

area of triangle PQR = (area of triangle PSQ)+(area of triangle RSQ)

area of triangle PQR = (13.0074347717966)+(26.0148695435932)

area of triangle PQR = 39.0223043153899

------------

<h3>Answer: 39.0223043153899</h3>

This value is approximate. Round however you need to.

===========================================

Part (b)

Focus on triangle PSQ. Let's find the length of PS.

We'll use the value of angle Q to determine this length.

We'll use the law of sines

sin(Q)/(PS) = sin(P)/(SQ)

sin(45.110237173726)/(PS) = sin(52)/(5.4)

5.4*sin(45.110237173726) = PS*sin(52)

PS = 5.4*sin(45.110237173726)/sin(52)

PS = 4.8549034284642

Because RS is twice as long as PS, we know that

RS = 2*PS = 2*4.8549034284642 = 9.7098068569284

So,

PR = RS+PS

PR = 9.7098068569284 + 4.8549034284642

PR = 14.5647102853927

-------------

Next we use the law of cosines to find RQ

Focus on triangle PQR

c^2 = a^2 + b^2 - 2ab*cos(C)

(RQ)^2 = (PR)^2 + (PQ)^2 - 2(PR)*(PQ)*cos(P)

(RQ)^2 = (14.5647102853927)^2 + (6.8)^2 - 2(14.5647102853927)*(6.8)*cos(52)

(RQ)^2 = 136.420523798282

RQ = sqrt(136.420523798282)

RQ = 11.6799196828694

--------------

We'll use the law of sines to find angle R of triangle PQR

sin(R)/PQ = sin(P)/RQ

sin(R)/6.8 = sin(52)/11.6799196828694

sin(R) = 6.8*sin(52)/11.6799196828694

sin(R) = 0.4587765387107

R = arcsin(0.4587765387107)

R = 27.3081879220073

--------------

This leads to

P+Q+R = 180

Q = 180-P-R

Q = 180-52-27.3081879220073

Q = 100.691812077992

This is the measure of angle PQR

subtract off angle PQS found back in part (a)

angle SQR = (anglePQR) - (anglePQS)

angle SQR = (100.691812077992) - (45.110237173726)

angle SQR = 55.581574904266

--------------

<h3>Answer: 55.581574904266</h3>

This value is approximate. Round however you need to.

8 0
3 years ago
Six copies of the sum of nine fifths and three ​
fgiga [73]

Answer: What is the complete question? Can you comment it?

Step-by-step explanation: I can’t help unless I know what the full question is. Sorry.

5 0
2 years ago
Other questions:
  • A rectangular laundry hamper is 3 1⁄4 feet tall, 2 1⁄3 feet long, and 1 5⁄6 feet wide. What is the volume of the laundry hamper?
    15·1 answer
  • Oliver runs 23 fewer laps than nate. Nate runs 61 laps. How many laps does oliver run?
    11·2 answers
  • Use the integers that are closest to the number in the middle
    6·1 answer
  • Find the surface area of a rectangular solid with dimensions of 6 by 2 by 3 centimeters
    7·1 answer
  • Sonia saves
    7·2 answers
  • Easy algebra! Just need help with this one
    5·1 answer
  • Scott is buying a pair of cleats that are on sale for three fifths of the original price after he uses a $25 gift card the total
    11·1 answer
  • Find the area. HELP ME PLEASEEEEEEEEEEEEEEEEEEEEEEEee
    5·1 answer
  • (2y-9x) ^2 please, I am in a crunch ​
    12·2 answers
  • A teacher gave a 5-question multiple choice quiz. Each question had 4 choices to select from. If the a student completely guesse
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!