A. -4
B. 0
C. 1
D. 4

Step-by-step explanation:

there are just some big words trying to confuse you.

it just means that there is a right-angled triangle :

there is the point on the ground, where the surveyor is standing.

then there is the elevated point up there, where the surveyor was measuring the angle to.

and then there is the point on the ground directly under this elevated point. at this point in the ground we have the right angle (90°).

this height of the elevated point above this ground point is what we are looking for, and it is one leg of the right-angled triangle.

the ground distance from the surveyor to the ground point under the elevated point is 5 miles and the second leg.

the direct line of sight from the surveyor to the elevated point is inclined up by 20°, and is the Hypotenuse (baseline opposite of the 90° angle) of the triangle.

remembering that the sum of all angles in a triangle is always 180°, we also know the angle at the elevated point :

180 - 90 - 20 = 70°

now we are using the law of sine :

a/sin(A) = b/sin(B) = c/sin(C)

where the sides are always opposite to their associated angles.

so, we have in our triangle

height/sin(20) = 5/sin(70)

height = 5×sin(20)/sin(70) = 1.819851171... miles

so, the elevated point is 1.819851171... miles above the elevation of the surveyor.

t - s

-7-(-4)

-7+4

-3

hope it helps...!!!

Answer:

Top Secret

Step-by-step explanation:

top secret. Slang. tough sh#t (a euphemistic initialism used to avoid explicit vulgarity). See also sh#t (def. 31).

Not what you're looking for?

radius= 8 m

the volume of the sphere

[tex]v = \frac{4}{3} \pi {r}^{3} [/tex]

[tex]v = \frac{4}{3} \times \pi \times {8}^{3} [/tex]

[tex]v = 2144.66058 \: {m}^{3} [/tex]

[tex]v = 2144.7 \: {m}^{3} [/tex]

therefore, the volume of the given sphere is 2144.7 cubic meters.

[tex]\large\boxed{Formula: V= \frac{4}{3}\pi {r}^{3}}[/tex]

In this question the radius is given so we'll simply have to substitute the values and solve.

Let's solve!

Substitute the values according to the formula.

[tex]V= \frac{4}{3}\times\pi\times{8}^{3}[/tex]

Calculator value:

[tex]V= 2144.660585 \: {m}^{3}[/tex]

Now, we'll have to round off to the nearest tenth.

The value in hundredths place is greater than 5 so, we will have to round up which means, we'll have to add 1 to the tenths place.

Final answer:

[tex]\large\boxed{V= 2144.7 \: {m}^{3}}[/tex]

Hence, the volume of the given sphere is 2144.7 cubic meters.

Answer:

1/3

Step-by-step explanation:

i have attached a tree diagram to help with your understanding, first branches show probability of picking either green or red the first time she picks one. The next set of branches show the updated probabilities after one pencil has been taken out.

Answer:

x=14

Step-by-step explanation:

collect like terms, like so

Answer:4(x−2)−8=4+2x

Use the distributive property to multiply 4 by x−2.

4x−8−8=4+2x

Subtract 8 from −8 to get −16.

4x−16=4+2x

Subtract 2x from both sides.

4x−16−2x=4

Combine 4x and −2x to get 2x.

2x−16=4

Add 16 to both sides.

2x=4+16

Add 4 and 16 to get 20.

2x=20

Divide both sides by 2.

x=

2

20

​

Divide 20 by 2 to get 10.

x=10

Step-by-step explanation:

Answer: 3

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

x² + 7x + 12

to find the roots equate the expression to zero

x² + 7x + 12 = 0

Consider the factors of the constant term (+ 12) which sum to give the coefficient of the x- term (+ 7)

the factors are + 3 and + 4 , since

3 × 4 = 12 and 3 + 4 = 7 , then

(x + 3)(x + 4) = 0 ← in factored form

equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x + 4 = 0 ⇒ x = - 4

Answer:

D -3, -4.

Step-by-step explanation:

x^2 + 7x +12 = 0

12 = 3*4 and 7 = 3 + 4 so we write:

(x + 3)(x + 4) = 0

x + 3 = 0 ,  x + 4 = 0

So x = -3, -4.

The balance of the loan at 14 months= $10,561.25

It would take a total 23 months to pay off the loan.

The total amount of money paid for the car is = $9,052.5

The total loan for the car = $8,500

The rate at which the loan is compounded monthly is

= 6.5%

The monthly payment for the loan = $390

Find the simple interest

= P×T×R/100

= 8,500 × 1 × 6.5/100

= 55,250/100

= $552.5

If 12 months = 8,500 + 552.5

14 months = X

make X the subject of formula,

X = 14 × 9052.5/12

X= 126,735/12

X = $10,561.25

The amount paid monthly = $390

The amount to be paid for the loan with interest = 8,500 + 552.5 = $9,052.5

If 1 month = $390

× month = $9,052.5

Make X the subject of formula,

X = $9,052.5/$390

X= 23 months

The total amount of money paid for the car is already calculated which is through the simple interest

= P×T×R/100

= 8,500 × 1 × 6.5/100

= 55,250/100

= $552.5

= 8,500 + 552.5

= $9,052.5

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Answer:

10.6

Step-by-step explanation:

We can use the Pythagorean Theorem to find the radius, as we are given a right triangle. The hypotenuse is 16. So we have [tex]r^2 + 12^2 = 16^2[/tex].

Solving for [tex]r[/tex] (radius), we get [tex]r = \sqrt{16^2 - 12^2} = 10.6[/tex] (rounded to the nearest tenth place).

Answer:

-1 ≤ x < 3

Hope this helps ;)

Answer:

Step-by-step explanation:

The angles labeled with 2x, 4x, and 3x are on a straight line so their sum is equal to 180

2x + 4x + 3x = 180 add like terms

9x = 180 divide both sides by 9

x = 20

The angle represented with 3x - 30 and the angle represented with 2x + 10 are alternate and their measurement is same

3x - 30 = 2x + 10 export like terms to same side of the equation

3x - 2x = 10 + 30

x = 40

to find the angles replace x with the value found for each.

[tex]( \frac{2}{3} - \frac{3}{4} \times \frac{1}{8} ) \div ( \frac{2}{3} - \frac{3}{4} + \frac{5}{8} )[/tex]

First, solve the brackets.

First bracket:

[tex]( \frac{2}{3} - \frac{3}{4} \times \frac{1}{8} )[/tex]

[tex] = \frac{55}{96} [/tex]

Second bracket:

[tex]( \frac{2}{3} - \frac{3}{4} + \frac{5}{8} )[/tex]

[tex] = \frac{13}{24} [/tex]

Then divide.

[tex] \frac{55}{96} \div \frac{13}{24} [/tex]

[tex] = \frac{55}{52} \: or \: 1\frac{3}{52} [/tex]

answer:

as improper fraction= 55/52

as mixed fraction= 1 3/52

hope this helps

Answer:

[tex] 5\bigg(x-\frac{3}{2}\bigg)^2-\frac{41}{4}[/tex]

Step-by-step explanation:

I think it is negitave 6 times  negitave 6 hope this helps.

Answer:

188 cubic yards

Step-by-step explanation:

there are two ways to solve for this problem the first is to use the given numbers to find the missing one, then seperate the two cuboids and solve for their volumes independently, and finally add

the second way is too make one complete rectangular prism and simply find out the volume of the missing side and subtract that from the whole

Answer:

If a game is "fair" it most likely means that there is a chance of winning a prize that corresponds with the price of playing the game.

Step-by-step explanation:

There is no one correct answer, but that is the premise of answering a question like that. you will need to elaborate further.

Answer:

There is no correct answer. but you could use-

The key role of probability is to improve decision-making in the face of uncertainties. It helps decision-making objective and data-driven rather than based on instinct.

Step-by-step explanation:

Step-by-step explanation:

the last option is your answer

Answer:

Determine the equation of the circle.

Equation of a circle

[tex](x-a)^2+(y-b)^2=r^2[/tex]

(where (a, b) is the center and r is the radius)

Given:

Substitute the given values into the formula to determine the equation of the circle:

[tex]\implies (x-0)^2+(y-0)^2=7^2[/tex]

[tex]\implies x^2+y^2=49[/tex]

Given point:  [tex](-3,2\sqrt{10})[/tex]

Input the x and y values of the given point into the derived circle equation.  If it equals 49, then the point is on the circle:

[tex]\implies (-3)^2+(2 \sqrt{10})^2=9+40=49[/tex]

Therefore, the given point is on the circle centered at the origin with a diameter of 14 units.

Answer:

1 560

Step-by-step explanation:

If no digit (from the digits 3, 4, 5, 6, 7, 8) can be used more than once :

we can form 6P5 = 720 (five-digit numbers) and they are all > 7000

we can form 6P6 = 720 (six-digit numbers) and they are all > 7000

if our number has four digits ,then the digit in the ten-thousands place of it must be 7 or 8 :

In this case :

we can form 5P3=60 number where the digit in the ten-thousands place of it is 7.

and we can form 5P3=60 number where the digit in the ten-thousands place of it is 8.

Final answer :

We can form 720+720+60+60 = 1 560 number greater than 7000

Answer:

The mean of the data is 70

Step-by-step explanation:

Hope this helps you! :D

Answer:

70

Step-by-step explanation:

Mean-

Add all the numbers to the total = 350

Divide by the amount of numbers (125, 15, 30, 110,70 = 5 numbers)

350/5 = 70

Answer:

$102

Step-by-step explanation:

Reset Scarlet bought a coat originally priced at $120. She got a 15% discount. How much did she pay for the coat?

1. Convert the discount percentage to a decimal:

15/100 = 0.15

2. Multiply the original price by the decimal:

120*0.15 = $18

This is the discount they got.

3. Now, subtract the discounted value from the original price:

120 - 18 = $102

This means that they paid $102 for the coat.

Hope this helps!

Answer:

$102

Step-by-step explanation:

15% of 120

= 15/100×120

0.15×120=$18

therefore, 15% of 120 equal 18

discount= $18

Amount she paid= 120-18= $102

Step-by-step explanation:

x, x+1, x+2 are the 3 consecutive positive integers.

(x+1)(x+2) = 2(x+1) + 2×(x+x+1+x+2)

x² + 3x + 2 = 2x + 2 + 2×(3x + 3)

x² + 3x + 2 = 2x + 2 + 6x + 6 = 8x + 8

x² - 5x - 6 = 0

we can solve this by finding the factoring.

that means we find a, b so that

(x - a)(x - b) = x² - 5x - 6 = 0

because then x = a and x = b are the 2 solutions of the quadratic equation.

we have

x² - ax - bx + ab = x² - (a+b)x + ab = x² - 5x - 6

a+b = 5

ab = -6

that means, either a or b must be 6 and the other -1.

so we get

(x - 6)(x + 1) = 0

x = 6

or

x = -1

since we are only looking for positive integers, the x = -1 solution is invalid, and we get only x = 6 as solution.

therefore the 3 consecutive positive integers are

6, 7, 8

Answer:

B.

Step-by-step explanation:

Answer:

See below ~

Step-by-step explanation:

Question 4

Question 11

Part A

Part B

Answer:

b, d, e

Step-by-step explanation:

Answer:

B, D, E

Read explanation... it always helps...

Step-by-step explanation:

alrighty, we know that anything positive multiplied by anything negative results in a negative number....

with that said.... b, d, and e are the only answer choices that result in a negative number that matches the expression -5/19

i hope this helps!!!

Answer:

isosceles triangle

Answer:

The number is 740

Step-by-step explanation:

Hello!

Let the number that we want to solve for be x.

100% of x is x, but a decrease of 5% if 95% of x.

The number is 740.

The solution is correct.

The enthalpy change (ΔH) for the reaction given the data from the question is –900.8 KJ

ΔHrxn = ∑ΔH(products) - ∑ΔH(reactants)

ΔHrxn = ∑[H(H₂O) + H(NO)] - ∑[H(NH₃) + H(O₂)]

ΔHrxn = [(6 × –241.8) + (4 × 91.3)] – [(4 × –46.2) + (5×0)]

ΔHrxn = –1085.6 + 184.8

ΔHrxn = –900.8 KJ

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Answer:

A: –900.8 kJ

Step-by-step explanation:

From the information given, the towline must be completely released to enable it to get to the maximum height. This problem is a trigonometry problem because it involves a solution that looks like a right-angled triangle.

In order to determine the maximum height of the parasailer, the length of the rope or towline must be established.

If the length and the height are known, the angle of elevation can be determined using the SOHCAHTOA rule.

SOH - Sine is Opposite over Hypotenuse

CAH - Cosine is Adjacent Over Hypotenus; while

TOA - Tangent is Opposite over Adjacent.

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The series of numbers that meets the requirements is 5+6+8+9+4+6+7+3+9+2+8+9+1.

To verify that the series meets the requirements, we must establish what the requirements are:

To verify that every 3 consecutive numbers add up to 19, we separate them into 4 groups of 3 and one number is left over.

In total there must be 14 numbers and they must add up to 77.

5+6+8+9+4+6+7+3+9+2+8+9+1 = 77

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