Which choices are equivalent to the expression below? Check all that apply.

From point A and B on level ground, the angles of

gladu [14]

Answer:

Step-by-step explanation:

Call T the top

call G the bottom

T G B is a right triangle

37 at B, 90 at G, thus 53 at BTG

TGA is a right triangle

25 at A, 90 at G, thus 65 at ATG

thus 122 at ABT

law of sines:

sin 25 / BT = sin 12/ 57

so BT = 156 meters (first answer)

now angle ABT = 180 - 12 - 25

= 143

so

sin 143 /AT = sin12/57

AT = 164 meters, second answer

4 0

3 years ago

What is the value of the arithmetic series below?

RoseWind [281]

Answer:

- 494

Step-by-step explanation:

Breaking down the summation into it;s component parts

= 4k - $\frac{3}{2}$ k(k + 1) ← substitute k = 19

= (4 × 19 ) - 1.5 × (19 × 20)

= 76 - (1.5 × 380)

= 76 - 570

= 494

3 0

3 years ago

Read 2 more answers

What is the volume of this triangular Pyramid photo attached

storchak [24]

To find the volume of a triangular pyramid, the formula is:

$V=\frac{1}{3}(Area\text{ }of\text{ }thebase)(height)$

So we start by finding the area of the base, which is in the shape of a right triangle in this case.

The area of a right triangle is equal to 1/2 x base x height.

$\begin{gathered} A=\frac{1}{2}bh \\ \\ A=\frac{1}{2}(5)(6) \\ \\ A=15\text{ square feet} \end{gathered}$

We use this area to find the volume.

$\begin{gathered} V=\frac{1}{3}Ah \\ \\ V=\frac{1}{3}(15)(6) \\ \\ V=30\text{ cubic feet} \end{gathered}$

The volume of the triangular pyramid is 30 cubic feet.

3 0

1 year ago

Harry church borrowed 17,500.00 at 6.5% exact interest. He had to pay back a maturity value of 17,873.97 to pay off the loan. Wh

kirill [66]

Answer:the term of the loan is approximately 4 months

Step-by-step explanation:

The term of the loan means the period for which the loan was given.

We would apply the formula for simple interest which is expressed as

I = PRT/100

Where

P represents the principal

R represents interest rate

T represents time in years

I = interest after t years

From the information given

P = 17500

R = 6.5%

I = total amount paid - principal

I = 17,873.97 - 17,500.00 = 373.97

Therefore

373.97 = (17500 × 6.5 × T)/100

373.97 = 1137.5T

T = 373.97/1137.5

T = 0.32 years

Converting to months, it becomes

0.32 × 12 = 3.84

Approximately 4 months.

3 0

3 years ago

PLZ HURRY!!!!!!!!!!!!!<br> Simplify. <br> −4x^2(5x^4−3x^2+x−2)

Simora [160]

$\bold{Answer}$

$\boxed{\bold{-20x^6+12x^4-4x^3+8x^2}}$

$\bold{Explanation}$

$\bold{Simplify: \ -4x^2\left(5x^4-3x^2+x-2\right)}$

$\bold{------------------}$

$\bold{Distribute \ Parenthesis}$

$\bold{\left(-4x^2\right)\cdot \:5x^4+\left(-4x^2\right)\left(-3x^2\right)+\left(-4x^2\right)x+\left(-4x^2\right)\left(-2\right)}$

$\bold{Apply \ Addition \ / \ Subtraction \ Rules: \ +\left(-a\right)=-a,\:\:\left(-a\right)\left(-b\right)=ab}$

$\bold{-4\cdot \:5x^4x^2+4\cdot \:3x^2x^2-4x^2x+4\cdot \:2x^2}$

$\bold{Simplify \ -4\cdot \:5x^4x^2+4\cdot \:3x^2x^2-4x^2x+4\cdot \:2x^2: \ -20x^6+12x^4-4x^3+8x^2}$

$\bold{-20x^6+12x^4-4x^3+8x^2}$

$\boxed{\bold{Eclipsed}}$

5 0

3 years ago