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3 years ago

Can someone help? I'm super confused :(

Mathematics

1 answer:

Greeley [361]3 years ago

7 0

Answer:

40 degrees

Step-by-step explanation:

Hi, so basically angles AOB and BOC added together equal angle measure AOC. First, we have to substitute the values in.

108=(3z+4)+(8z-28)

Then, combine like terms

108=11z-24

Add 24 to both sides

132=11z

Divide both sides by 11

12=z

So now all we need to do to find measure AOB is substitute 12 for z in the given equation (AOB=3z+4)

AOB=3(12)+4

AOB=36+4

AOB=40

Hope this helps, let me know if you're still confused!

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two times a number plus three times a number equals 13. The sum of two numbers is 7. what are the numbers? write the numbers for

wel

Answer:

Step-by-step explanation:

$2+ 3 = 5 \\13-5= 8\\8 divided by 2=4 \\x=4$

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3 years ago

Everett drove his motorcycle 16 miles in 4/5 of an hour. If he continue to drive at this rate how many miles would he drive in a

Elenna [48]

Answer:

20 miles in an hour.

Step-by-step explanation:

4/5=0.8

16/0.8=x/1

cross product

0.8*x=16*1

0.8x=16

x=16/0.8

x=20

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3 years ago

Solve the equation by completing the square. round to the nearest hundredth if necessary. x^2+3x-5=0

elena55 [62]

X=0.85 and -5.85 is the answer, that's all of the work

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4 years ago

Im not sure how to find the missing angle

LuckyWell [14K]

Answer:

Step-by-step explanation:

the question is asking for the length of the side labeled x

use Pythagoras' theorem to find that side

where c = x because c represents the hypotenuse in the theorem and x is on the hypotenuse in this problem

c = $\sqrt{a^{2} + b^{2} }$

sooo plug in a = 14 and b = 10

c = $\sqrt{14^{2} + 10^{2} }$

c = $\sqrt{196+100}$

c = $\sqrt{296}$

c= 17.20465..... ( that's the approx. length of side x in the problem )

since this is a right triangle we could use trigonometry to find the two angles use SOH CAH TOA to remember how those functions fit on the triangle.

Sin(Ф)=Opp/Hyp Cos(Ф)=Adj/Hyp Tan(Ф)=Opp/Adj

since we know the Hyp (hypotenuse) and the side adjacent will be the side with the 10 soooo...

Cos(Ф)=10/17.20465

Ф = arcCos(10/17.20465)

Ф = 54.4623° is the angle on the side with 10

the side with 14 then has an angle of 35.5376°

5 0

3 years ago

A rectangle has an area of 900square inches. The length of the rectangle is 2.25 times the width.Find the dimensions

Alexeev081 [22]

Answer:

Length = 45 inches and Width = 20 inches

Step-by-step explanation:

Let the width be w.

Length(l)=2.25w

Area = 900 in^2

The formula for the area of a rectangle is Area = length * width

So substituting our values we get:

$A=2.25w*w\\900=2.25w*w\\2.25w^2=900\\w^2=\frac{900}{2.25} \\w^2=400\\w=\sqrt{400} \\w=20$

So we get width = 20 inches

Length = 2.25w

so Length= 2.25*20

=45 inches

3 0

3 years ago

Can someone help? I'm super confused :(​

Can someone help? I'm super confused :(