What is the value of x?<br> 106°<br> (not drawn to scale)

PLS HELP ME I DON'T HAVE A LOT OF TIME !!!

Sergeu [11.5K]

Answer:

d

Step-by-step explanation:

3 0

3 years ago

A monument casts a 40 ft shadow. Adam is 6 ft tall and casts a 5 foot shadow. How tall is the monument

OLga [1]

The answer is 48 feet (D).

Explanation:

To solve this, you must think of the monument and its shadow and Adam and his shadow as a triangle, the person/object being the vertical leg, the shadows being the horizontal leg, and a line connecting them being the hypotenuse. Also, we can assume that these triangles are similar. First, we can set the scale to be 40/5 (the two shadows set a scale because the triangles are similar). Then, we can put x/6 (the actual things are similar, and the scale was established to be building/measurement). Next, we can set the two fractions equal to each other (40/5 = x/6) and solve. We can cross multiply to get 5x = 40 * 6. That goes to 5x = 240. Finally, we can divide by five on each side to get x = 48 feet (D).

3 0

3 years ago

Arrange the following terms into appropriate categories? <br>Please help me

Lady_Fox [76]

Answer:

Real:

23
1/3
cube root of -27
sq root of 8
cube root of 64
5.6
80%
-3/7
0

Imaginary:

sq root of -4
-5i
17i
2/5i

Complex:

-5.7 - 4i
2/5 - 5/8i
2 + 3i
-1.5 + 17i

Step-by-step explanation:

A real number is a number that exists in real life.

An imaginary number is a number that doesn't exist, hence it has the letter i in it.

A complex number consists of a real number and an imaginary number.

If you would like more help in math or other subjects for FREE, check out growthinyouth.org.

4 0

3 years ago

Melanie is looking for a loan. She is willing to pay no more than an effective rate of 9.955% annually. Which, if any, of the fo

lakkis [162]

Answer:

c) A and B, being r(loan a)= 9.699% annually, r(loan b)=9.862% annual

Step-by-step explanation:

Hi, well, let´s transform all this nominal rates into effective annual rates.

Loan A: 9.265% nominal rate, compounded weekly

In order to find the easiest effective rate, we need to divide this rate by 52 (which are the weeks in a year). Once we do that, we convert this effective weekly rate into an effective annual rate. Let´s walk you through all this.

$r(E.week)=\frac{0.09265}{52} =0.00178173$

Or 0.178173% effective weekly. Now we can transform it into an effective annual rate.

$r(e.a)=(1+r(e.week))^{52} -1$

$r(e.a)=(1+0.00178173)^{52} -1=0.09699$

Or 9.669% annual, which is less than 9.955%, so this one is sellected, let´s check the next.

Loan B: 9.442% nominal rate, compounded monthly

Just like we did with Loan A, we need to divide this rate too, only this time, we will divide by 12, therefore obtaining an effective monthly rate.

$r(E.month)=\frac{0.09442}{12} =0.00786833$

Or 0.786833% effective monthly, let´s turn it into a effective annual rate.

$r(e.a)=(1+r(e.month))^{12} -1$

$r(e.a)=(1+0.00786833)^{12} -1=0.09862$

Or 9.862% annual, so this rate would work for Melanie too. This means that option C) is the answer we are looking for but, let´s walk that extra mile and turn that Loan C rate into an annual rate.

$r(E.quarter)=\frac{0.09719}{4}=0.0242975$

or 2.42975% effective quarterly, now, let´s convert it into an effective annual rate.

$r(e.a)=(1+0.0242975)^{12} -1=0.10079$

That is 10.079% effective annual, therefore, Loan C is not an option for Melanie.

Best of Luck.

5 0

3 years ago

Read 2 more answers

Sam has 3/4 ton of stones to divide evenly among for sidewalks. how much stone will it be used in each sidewalk

mel-nik [20]

The amount of stone in each sidewalk is 3/16

<h3>How to determine the amount of stone in each sidewalk?</h3>

The given parameters are

Stones = 3/4 tons

Side walks = 4

The amount of stone in each sidewalk is calculated using

Amount = Stones/Side walks

Substitute the known values in the above equation

Amount = 3/4 / 4

Evaluate the quotient

Amount = 3/16

Hence, the amount of stone in each sidewalk is 3/16

What is the value of x? 106° (not drawn to scale)