"A rectangle has a height of 5 cm and its base is increasing at a rate" of 3/2 cm/min. When its area is 60 cm2, at what rate is the diagonal of the rectangle increasing?

Answer:

40.6 degrees

Step-by-step explanation:

SOHCAHTOA

here, the tan of the missing angle = opposite / adjacent

tan(x) = 6/7

using graphing calculator obtain x = 40.61, round to 40.6 for nearest tenth

please give a heart and crown :)

Answer:

Boulders:

1 - 10

2 - 20

3 - 30

4 - 40

5 - 50

Manhattan Rocks:

1 - 15

2 - 20

3 - 25

4 - 30

5 - 35

B. 10 hours, Ismael should go to Manhattan Rocks because 35 times 2 is 70 and 50 times 2 is 100. Manhattan Rocks would only be 70 compared to 100.

C. is for you to decide

Step-by-step explanation:

Answer:

8:2

32:8

Step-by-step explanation:

It's pretty simple:

If there's 32 boys, which is 4 times the amount you start with, you have to apply that to the number of girls as well since for every 8 boys, there is 2 girls.

8x4

2x4

32:8 Hope this helps

Answer:

8 girls are wearing neon blue.

Step-by-step explanation:

There are several ways to do this but one of them is to find how many groups of 8 boys are in 32. To do this we divide 32 by 8 which equals 4. We then multiply 2 by 4 which is 8.

Answer:

Yo

Merry Christmas and have a great day onwards

and thank you ❤

Answer:

thanks a lot friend!!!

Step-by-step explanation:

.......

Answer:

4:9 or 4/9

Step-by-step explanation:

4/9 is the simplified version of 24/54.

Answer:

4:9 or 4/9

Step-by-step explanation:

because when we cut of the number in simpler form so this answer comes.

Answer:

after 10 hours she made 150$

Step-by-step explanation:

:)

Answer:

The total amount made after working 10 hours would be $150

Answer:

[tex]0.2\ km\ per\ minute[/tex]

Step-by-step explanation:

[tex]As\ we\ are\ given\ that,\\Time\ Jerry\ takes\ with\ the\ Force\ of\ Wind\ in\ his\ direction=10\ minutes\\Time\ Jerry\ takes\ with\ the\ Force\ of\ Wind\ against\ his\ direction=15\ minutes\\Considering\ only\ the\ direction\ of\ the\ forces\ are\ opposite\ and\ the\\ magnitudes\ equal,\\Let\ the\ time\ Jerry\ take\ travelling\ through\ a\ still\ wind\ be\ x\\Let\ the\ Force\ of\ wind\ be\ F.\\Hence,\\x+F=10\\x+(-F)=15\\By\ simply\ adding\ the\ equations,\\2x=10+15\\2x=25\\x=\frac{25}{2}\\[/tex]

[tex]x=12.5\\Hence,\\Time\ taken\ by\ Jerry\ during\ a\ still\ wind=12.5\ seconds.\\We\ also\ observe\ that\ 12.5\ is\ the\ mean\ of\ 10\ and\ 15\ and\ lies\ between\\ the\ two\ extremes.\\Hence,\\As\ we\ now\ know\ that,\\Distance\ from\ the\ library=2.5\ km\\Time\ taken\ by\ Jerry\ during\ the\ still\ wind=12.5\ minutes\\Hence,\ we\ know\ that\\Speed=\frac{Distance}{Time}\\Here,\\Speed=\frac{2.5}{12.5}\\Speed=\frac{1}{5}\ or\ 0.2\ km\ per\ minute[/tex]

Answer:

YOU CHEAT ON QUIZ

Step-by-step explanation:

WHY YOU CHEAT BAD

Answer:

gay

Step-by-step explanation:

Answer:

25 liters

Step-by-step explanation:

60/12=5

5*5=25

Answer:

25 liters of juice

Step-by-step explanation:

5 liters of juice=12 guests Multiply both sides by 5

25 liters of juice=60 guests

The answer is A

In this problem, we're dealing with tan since we're working with the opposite and adjacent sides.

Remember SOH CAH TOA which means

Sin: Opposite over Hypotenuse,

Cos: Adjacent over Hypotenuse,

and Tan: Opposite over Adjacent

to remember what sin cos and tan means

So to set up a tan equation we have to do

tan(angle) = opposite side length/adjacent side length

The first equation is tan(25) = 50/x

because we have to find the length of the adjacent side so we can find how far away the tree is.

which is about 107.2 ft

The second equation is tan(50) = 50/x

because now we have to find how far away the tree is once the angle of elevation is twice the measure of the original angle (which is 50)

which is about 41.9 ft

After we subtract the two values, you get 65.3 so the answer is A.

I hope this helps!

Two make the angle from the top of the tree to the ground distance should be 41.95 ft.

A triangle is said to be right-angled if one of its angles is exactly 90 degrees. The total of the other two angles is 90 degrees. Perpendicular and the triangle's base are the sides that make up the right angle. The longest of the three sides, the third side is known as the hypotenuse.

Given, The angle of elevation from a point on level ground to the top of a 50-ft tree is 25".

Since it makes a right-angle triangle with the tree that has a height of 50

Also given, At another angle from the ground that is twice the previous angle calculate the base.

Thus, the new angle will be 50°

thus, the base of the triangle:

Since. tan α = height/ base

in our case, α is 50°

height = 50 ft

tan α = 50 / base

base = 50/tan 50°

Base = 41.95 ft

therefore, Two make the angle from the top of the tree to the ground distance should be 41.95 ft.

Learn more about right-angle triangles here:

https://brainly.com/question/3770177

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Answer:

10

Step-by-step explanation:

thats the answer

x=5

2x=10

x√3=√170

Step-by-step explanation:

2+2=4

4+6=10

12+100=112

120×670=80,400

Answer:

Range - a  is y<k

Range + a is y>k

Doman always all real numbers

Step-by-step explanation:

Answer:

domain- always all real numbers

and im not too certain about the last 2 but im pretty sure that

range-a is less than or equal to whereas range+a is more than or equal to.

Answer:

-1 < x

Step-by-step explanation:

-10 < x - 9

+9. +9

-1 < x

Answer:

Reason 1 is: Addition

Reason 2 is: Tangent sum identity

Reason 3 is: Simplify  

Step-by-step explanation:

I just did it on edge 2020

Answer:

Reason 1 is: Addition

Reason 2 is: Tangent sum identity

Reason 3 is: Simplify  

Step-by-step explanation:

Answer:

Step-by-step explanation:

RMJ = MPT = 90                     Perpendicular lines create right angles (90o)

PM = RJ                                   Given

TM = MJ                                   Definition of a midpoint

PT = MR                                   Two equal legs of a right triangle makes the third   side of each equal by a^2 + b^2 = c^2

ΔPTM = ΔJMR                               Side Side Side

There are other ways of doing this. This is one way.

Answer:

option b the median would decrease

Answer:

x+x=8

that's mean: 2.x/4 + 4.x/1 = 18/1

we find at least a common multiple of 4 and multiply the units by 4

2x + 16x = 72

18x = 72/:18

x = 4

Answer: 7

suppose: the smaller number is a

the larger number is b

because The sum of two numbers is 8 => a + b = 8 (1)

four times the smaller  number is added to two times the larger number, the result  is 18 => 4a + 2b = 18 (2)

(1)(2) => a + b = 8

              4a + 2b = 18

<=> a = 1

     b = 7

=> the larger number is 7

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

w2 is -2x-2

2xy is getting times together -3x1

Answer:

I believe the answer is A and I'm sorry if I'm wrong

graph best represents the solution set of -4x <- 6y - 54 graph C. Option C is the correct option.

graph best represents the solution set of -4x < -6y - 54.

Inequality can be defined as the relation of an equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Since the Question seems to be incomplete, The Correct inequality in the question could be  -4x < -6y - 54.
Here, graph C represents the inequality. Because y-intercept is y = -9
and the x-intercept for the inequality is x = 13.5. And it's below shaded and no boundary element can be included because of < sign.

Thus, the graph best represents the solution set of -4x < -6y - 54 graph C. Option C is the correct option.

Learn more about inequality here:

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The question given is incomplete, Answer is correct for the solution is based on the assumed data mentioned in the question.

Answer:

C) Loan F's effective rate will be 0.302 percentage points lower than Loan G's

Step-by-step explanation:

Formula for effective rate is;

r_eff = [1 + (r/n)]^(n) - 1

Where;

r is interest rate

n is the number of compounding periods per year

Loan F has a nominal interest rate of 5.66%, compounded monthly

Thus: r_eff = [1 + (0.0566/12)]^(12) - 1 = 0.0581

Loan G has a rate of 6.02%, compounded semiannually.

Thus;

r_eff = [1 + (0.0602/2)]^(2) - 1 = 0.0611

Differece = 0.0611 - 0.0581 = 0.003

Converting to percentage gives : 0.003 × 100 = 0.3%

Thus,correct answer is option C

Answer:

C. Loan F’s effective rate will be 0.302 percentage points lower than Loan G’s.

Step-by-step explanation:

Answer:

(-3,4)

Step-by-step explanation:

to solve for x, make y=0

to solve for y, make x=0

Well, you didnt give answer choices, BUT go onto desmos and use the graphing calculator to figure it out :)

Answer:

-24

Step-by-step explanation:

Answer:

-24

Step-by-step explanation:

Answer:

-5/6+1/2=-2/6 = -1/3

hope it helps

Answer:

-0.33333333333

fraction= -1/3

any more help just ask :)

Given:

a and b are two legs of a right triangle and c is hypotenuse.

a=3 and c=5

To find:

The value of b.

Solution:

According to the Pythagoras theorem,

[tex]hypotenuse^2=(leg_1)^2+(leg_2)^2[/tex]

Using Pythagoras theorem, we get

[tex]c^2=(a)^2+(b)^2[/tex]

Now, putting a=3 and c=5, we get

[tex]5^2=(3)^2+b^2[/tex]

[tex]25=9+b^2[/tex]

[tex]25-9=b^2[/tex]

[tex]16=b^2[/tex]

Taking square root on both sides.

[tex]\pm \sqrt{16}=b[/tex]

[tex]\pm 4=b[/tex]

The measure of side of a triangle cannot be negative. So, only value of b is 4.

Therefore, the value of b is 4.