#5: Solve the
following
equation
60=5r-4r+14
(Show Work
Here)

Answer:

The answer is b: 25

Note however that the shape of the diagram does not match the numbers on it.  So either it is poorly drawn, or I am misinterpreting the numbers.  It seems pretty clear though that the image is incorrect, as the two segments both marked as being 25 units long are represented at different lengths.

Step-by-step explanation:

The image here does not fit the numbers.  Note that the bottom triangle has two sides with given lengths of 25 units, but they are drawn as different lengths.

Let's plough on though, and find a better image of what that shape would be.

Starting with the bottom triangle:

Given that the two sides of the bottom triangle are both 25 units in length, we know that it is an isosceles triangle (despite its depiction otherwise).  Because of that, we know that the two bottom angles are equal.  We already know that the top corner is 90°, and that the sum of the angles in a triangle must be 180°  This means that the two bottom angles (again, contrary to how its drawn) are both equal to 45°

Now that we have that information, we can look at the over triangle.  We know that the bottom right corner is 45°, and that the bottom left is 90°.  That tells us that the top angle is also 45°.

With that said, we can redraw the image with the proper proportions.  See the attached image.

That very much simplifies things.  The line separating the triangles bisects the hypotenuse of the larger triangle, meaning that x is also equal to 25.

To be sure of that though, we can prove it another way.  Given that the bottom two corners are both 45, we can use the sine rule to measure x.  The sine rule states that the sine of each angle in a triangle has the same ratio to their opposite sides.  Usually expressed as:

[tex]\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C}[/tex]

where a, b and c are the side lengths, and A, B and C are the angles of the corners opposite those sides.

With that we can take the two parts of the overall triangle's hypotenuse, 25 and x, and say that each of those divided by the sine of the angle opposite them is equal to each other:

[tex]\frac{x}{\sin 45} = \frac{25}{\sin 45}[/tex]

This turns out to be very easy to solve, as both sides have the same denominator.  As a result, we can just multiply both sides by sin 45, giving us:

x = 25.

Answer:

L = 36

Step-by-step explanation:

"A triangle with a height of 3 cm and a base  of x cm is the result of reducing each  dimension by a scale factor of one-third"

We are looking for the original. This triangle was reduced by 1/3, so we would have to mulitply by 3 to get the original triangle measurements.

height = 3 x 3 = 9

length = x * 3

"The area of the original triangle is  162 cm²."

Area = Base x Height/2

162 = (x*3) * 9/2

324 = (x*3)*9

36 = x*3

x = 12

What was the original length of  the base?"

Length = x * 3

            = 12 * 3

Length = 36

I hope this helped!

Answer:

hold on i'm abt to answer it

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

tan^-1(8/11)=36.027

Answer:

z = 24

Step-by-step explanation:

35/30 = 7/6

28/7 = 4

6 x 4 = 24

28/24 = 7/6

Answer:

x = 24

Step-by-step explanation:

All you have to do is cross multiply like this..

30 x 28 = 35 x X

=

x = 30 x 28/35

30 x 28 = 840 / 35 =

24

So x is equal to 24

Hope this helps :)

Step-by-step explanation:

[tex]7n - 4 = 317 \\ 7n = 317 + 4 \\ 7n = 321 \\ n = \frac{321}{7} \\ n = 45 \frac{6}{7} [/tex]

Answer:

[tex]n = \frac{321}{7} [/tex]

Step-by-step explanation:

1) Add 4 to both sides.

[tex]7n = 317 + 4[/tex]

2) Simplify 317 + 4 to 321.

[tex]7n = 321[/tex]

3) Divide both sides by 7.

[tex]n = \frac{321}{7} [/tex]

Therefor, the answer is n = 321/7 and in decimal form it would be, 45.857143.

Answer:

Answer is the Equation is 2x+2

Answer:

2x+2

Step-by-step explanation:

hope it helpssssss

Answer:

45

Step-by-step explanation:

25 = 700

Y = 1260

Now you need to do cross multiplication .

25 X 1260=700Y

Since it's in a multiplying form you can simplify by dividing 700 by 25

1260=700Y/25

1260=28Y

Y=45

Answer:

x= 11/12

Step-by-step explanation:

you have to make 1/3 equivalent to 7/12 so now you get 4/12+7/12= 11/12

Answer:

Step-by-step explanation:

Answer:

[tex](3x-y)(x+y)^2[/tex]

Step-by-step explanation:

[tex]3x^3-x^2y+6x^2y-2xy^2+3xy^2-y^3[/tex]

Multiply and combine like terms.

[tex]3x^3+xy^2-y^3+5xy^3[/tex]

Consider [tex]3x^3+xy^2-y^3+5xy^3[/tex] as a polynomial over variable x.

[tex]3x^3+5xy^2+y^2x-y^3[/tex]

Find one factor of the form kx^m +n, where kx^m  divides the monomial with the highest power 3x^3  and n divides the constant factor −y^3 . One such factor is 3x−y. Factor the polynomial by dividing it by this factor.

[tex](3x-y)(x^2+2xy+y^2)[/tex]

Consider [tex]x^2+2xy+y^2[/tex]. Use the perfect square formula, [tex]a^2+2ab+b^2[/tex] = [tex](a+b)^2[/tex], where a=x and b=y.

[tex](x+y)^2[/tex]

Rewrite the complete factored expression.

[tex](3x-y)(x+y)^2[/tex]

Answer:

Step-by-step explanation:

Remark

The formula for this is

Heat = m * c * Δt

Givens

Heat = unknown

m = 200 grams

c = 4.184 Joules / grams oC

Δt = the change in temperature = 35.7 - 22.3 = 13.4

Solution

Heat = 200 * 4.184 * 13.4

Heat = 11213 Joules

Heat = 11.2 Kj

It's hard to get the correct number of sig digs because the 200 is not qualified in any way.

Part 2.

This can really puzzle you until you know that heat given up = the heat taken on. The heat taken on was 11.2 Kj. The Butane lighter must have given that heat on.

Heat of Combustion = Heat Given Up / Number grams burned.

Heat of Combustion = 11.2 Kj / 0.23 grams

Heat of Combustion = 48.8 Kj / gram

Answer:

96 for b 90 for a

Step-by-step explanation:

Answer:

I think its c!!!!!!!!!!!!!!!!!

Answer:

18

Step-by-step explanation:

21 - 3= 18

/:

Answer:

Step-by-step explanation:

2+2 = 4

1+1 = 2

5+10 = 15

q+3 = 21, q = 21-3 = 18

Or if you meant all of them added together is 21, 2+2+1+1+5+10+q+3=21

q = -3

Answer:^2+4x+3

Step-by-step explanation:

Step-by-step explanation:

=>(x+1) (x+3)

=>x^2+3x+x+3

=>x^2+4x+3

..............Answer.......

Answer:

C

Step-by-step explanation:

3/4 = 9/12

This is because

3 x 3 = 9

4 x 3 = 12

3/4 = 9/12

Hope that helps!

Answer:

Marie Skłodowska Curie (born Maria Salomea Skłodowska (Polish: [ 7 November 1867 – 4 July 1934), was a Polish and naturalized-French physicist and chemist who conducted pioneering research on radioactivity. As the first of the Curie family legacy of five Nobel Prizes, she was the first woman to win a Nobel Prize, the first and the only woman to win the Nobel Prize twice, and the only person to win the Nobel Prize in two scientific fields. She was the first woman to become a professor at the University of Paris in 1906.[4]

Step-by-step explanation:

Answer:

It's either b or d more likely d though.

Step-by-step explanation:

Answer:

we have:

AMC = 2ABC

=> 10x - 12 = 2(4x + 6)

<=> 10x - 12 = 8x + 12

<=> 2x = 24

<=> x = 12

with x = 12 => ABC = 4.12 + 6 = 48 + 6 = 54⁰

Answer:54

Step-by-step explanation:

Answer:

LCD = 2(3)(5)(7)(x)(x) is A

LCD = (x - 3)(x + 1) is D

LCD = (x + 2)(x - 3) is C

LCD = 2(3)(5)(7)(x) is B

Answer:

is it 3,4

Step-by-step explanation:

sorry if im wrong  i tried.

Q=4P

Step-by-step explanation:

4=4(1)

32=4(8)

60=4(15)

Answer:

3ax−11a−9x

Step-by-step explanation:

3ax+4a−(9x+15a)

Distribute the Negative Sign:

=3ax+4a+−1(9x+15a)

=3ax+4a+−1(9x)+−1(15a)

=3ax+4a+−9x+−15a

Combine Like Terms:

=3ax+4a+−9x+−15a

=(3ax)+(4a+−15a)+(−9x)

=3ax+−11a+−9x

Answer:

58-8=50

50/2=25

25+8=33

a=25,b=33

Answer:

4%

Step-by-step explanation:

100% represents the starting balance: $180.

Method 1

Express the ending balance as a percentage of the starting balance:

$180

1.04

1.04 times 100=

1.04×100=

104%

Subtract the starting 100% to get the percent interest:

4%

​

Method 2

$187.20−$180=

$7.20

$180

$7.20

​

0.04

0.04 times 100=

0.04×100=

4%

​

Answer:

Step-by-step explanation:

Answer:

We cannot find the answer with this amount of information. we need more to answer this correctly. mark me as brainliest pls and thx for the points anyways