The height of the hill is 520 ft
The height of the hill, h the length of the road, L and the ground form a right angled triangle with length of the road as the hypotenuse side and the height of the hill as the opposite side to the angle the road makes with the horizontal, Ф.
Now, from trigonometric ratios,
sinФ = h/L
The height of the hillMaking h subject of the formula, we have
h = LsinФ
Since L = 2500 ft and Ф = 12°, thus
h = LsinФ
h = 2500 ft × sin12°
h = 2500 ft × 0.2079
h = 519.78 ft
h ≅ 520 ft to the nearest foot
So, the height of the hill is 520 ft
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A new bank customer with $4,500 wants to open a money market account. The bank is offering a
simple interest rate of 1.9%.
a. How much interest will the customer earn in 30 years?
b. What will the account balance be after 30 years?
Ans
Step-by-step explanation:]\
To use the simple interest formula, I = Prt, we substitute in the values for ... The money you put in the bank is called the principal, P, and the bank pays ... of t years at an annual interest rate r, the amount of interest, I, earned is ... Nathaly deposited $12,500 in her bank account where it will earn 4% interes
Help this is geometry! Help me please!
There are 10 chocolates in a box.
7 of the chocolates have soft centres and 3 of the chocolates have hard centres. Kyla takes at random a chocolate from the box and eats it.
She then takes at random another chocolate from the box and eats it.
The probability of getting chocolates with harder center is 7/15.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes
Given that, there are 10 chocolates in a box. 7 of the chocolates have soft centers and 3 of the chocolates have hard centers.
Probability of choosing first chocolate with hard center is
Total number of outcomes =10
Number of favorable outcomes =7
Now, probability is 7/10
Probability of choosing second chocolate with hard center is
Total number of outcomes =9
Number of favorable outcomes =6
Now, probability is 6/9
Probability of an event = 7/10 × 6/9
= 7/10 × 2/3
= 7/5 × 1/3
= 7/15
Therefore, the probability of getting chocolates with harder center is 7/15.
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"Your question is incomplete, probably the complete question/missing part is:"
There are 10 chocolates in a box. 7 of the chocolates have soft centers and 3 of the chocolates have hard centers. Kyla takes at random a chocolate from the box and eats it. She then takes at random another chocolate from the box and eats it. Find the probability that Kyla chooses both the chocolates with a hard center.
(GIVING BRAINLIEST!!!!!!!!)
U dont have to answer both
Explain your thinking
Answer:
1. 0.6
2. 0.77
Step-by-step explanation:
Decimal for number 1 is 0.61 and 0.6 is less.
Decimal for 2 is 0.8 so 0.77 is less.
Answer:
1. 0.60 because 0.61 is colored in
2. 0.77 because 0.8 is colored in
Step-by-step explanation:
1. 61 out of 100 blocks colored in so that is 0.61
2. 8 bars out of 10 colored in so that is 0.8
What is the measure of 2U?
4
4
70°
O A. 70
O B. 74
O C. Cannot be determined
O D. 66
Answer:
A. 70°
Step-by-step explanation:
Since, TV = TU = 4
[tex] \therefore \: m \angle \: U = m \angle \: V \\(by \: isosceles \: \triangle \: theorem) \\ \because \: m \angle \: V = 70 \degree\\ \\ \therefore \: m \angle \: U = 70 \degree[/tex]
To find the quotient of 8 ÷ 1/3 multiply 8 by (a 1/8 (b 1/3 (c 3 (d 8
Answer:
C
Step-by-step explanation:
To divide by fractions, we must multiply by the reciprocal of the fraction itself. 8 times 3/1 or just 8 times 3 is the answer
HELP
33
-
88
in simplest form
Answer:
55
Step-by-step explanation:
33-88 =
-55
help I will give brainiest!!!!
Answer:
20.4 feet
Step-by-step explanation:
the rectangle below has a area of 160in2 find the one that is Not true
A. The base of the figure is 20 inches in length
B. the formula a= b/8 could be used to find area
C. the formula b = 160/8 could to find the base
D the formula 160 = b x 8 could be used to find base
How to solve (x+1)/3 =(2(x-2))/5 .
Answer:
3x + 3 = (2x - 4)/5
3x + 3 = 10x - 20
13x - 17
Step-by-step explanation:
Answer: X = 17
Explaination:
What number should go in the box? 343834=300000+▢+3000+800+30+4
Answer:
40 000
Step-by-step explanation:
Find out what the numbers in the equation add up to excluding the box.
343834 - 300000 - 3000 - 800 - 30 - 4 = 40 000
Answer:
40000
Step-by-step explanation:
300000+3000+800+30+4 = 303834
So,
343834-303834 = 40000
Ans = 40000
Find the area of triangle STU
Help me
Answer:
12cm cubed
Step-by-step explanation:
A= base*height/2 so base is 6 just count the squares and height is 4 at the highest point so just plug those in the formula hopefully its correct
Step-by-step explanation:
The height is 5
and the base is 7
area of triangle = bxh
= 7 x 5
= 35 cm2
Please please please help me!!! I need this really fast and quick. Will give brainliest to whoever can answer quickly please
PLEASE HELP ASAP!! PLEASE
Answer:
21 km
Step-by-step explanation:
I am not too sure if i did answer that correctly but the distance should not change even if it is in different directions
Everything in a store is on sale for 25% off.
The normal price of a babkpack is $40.
What is the sale price of the backpack?
Pls help I don’t understand
Name BOTH pairs of alternate interior angles. HELPPPPP PLEASE!!!!!!
Answer:
Angles 6 and 2
Step-by-step explanation:
They are in the "interior" of the figure, plus, ik how to do this
Hope this helped! Have a nice day! Plz mark as brainliest!!!
-XxDeathshotxX
What is 2.52% of 25?
Answer: 992.06
Step-by-step explanation: This is to the nearest hundredth.
Please help me with this please!
Enter the actual height of the tree.
Serena makes 2 1/4 cups of popcorn using 1 1/2 tablespoons of kernels. She wants to know how many tablespoons of kernels to use to make 6 cups of popcorn
Answer:
about 4
Step-by-step explanation:
just guessed
The number of tablespoons of kernels to use to make 6 cups of popcorn will be 4 tablespoons. Option B is correct.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
Serena makes 2 1/4 cups of popcorn using 1 1/2 tablespoons of kernels.
Convert the mixed fraction into a fraction number. Then we have
2 1/4 = 9/4
1 1/2 = 3/2
The ratio of cups of popcorn and tablespoons of kernels will be constant.
The number of tablespoons of kernels to use to make 6 cups of popcorn will be given as,
K / 6 = (3/2) / (9/4)
K = 4 tablespoons
The number of tablespoons of kernels to use to make 6 cups of popcorn will be 4 tablespoons. Option B is correct.
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Maria is solving this number riddle by using guess and check: Fifteen less than a number is twelve. Based on the riddle, which statements must be true? Check all that apply. Less than means subtraction. Subtract 15 from the unknown number to get 12. 15 minus 12 = 3 The unknown number is 27. 15 + 3 = 18 27 minus 12 = 15 This is an addition problem.
Answer:
The answer is abde
Step-by-step explanation:
i got it wrong but when i looked that was the answer
Answer:
Abde
Step-by-step explanation:
Cuz u are very kewl
Solve the equation.
-3x + 1 + 10x = x + 4
X = 1/2
X=5/6
X=12
X=18
Answer:
x = 1/2
Step-by-step explanation:
mark brainliest
The quadrilateral shown is a parallelogram. What is m<B?
A) 25°
B)55
C) 65
D) 115 degree
The answer is D. 115°
Answer:
The answer is also 115 on USA test prep.
what is the sum of the measures of the interior angles of a hexagon
Answer:
Hexagon has 6, so we take 540+180=720. A heptagon has 7 sides, so we take the hexagon's sum of interior angles and add 180 to it getting us, 720+180=900 degrees.
daniel is 1 1/5 times as tall as chris,if there total height is 341 cm what is chris height
A geologist has ten rock samples in a bag and is going to use eight for class. What is the probability that the first three pulled out will be hematite, bauxite, and coal in that order, assuming all three are among the rock samples?
Answer:
1/56 chance
Step-by-step explanation:
3/8 x 2/7 x 1/6 = 1/56
Which planet in the chart is most likely Earth?
It’s science
Answer:
he diagram below compares the relative diameters of two planets in our solar system. Which two planets have diameters that most closely resemble this ... Earth (1) varies in distance from the Sun (2) spins on its axis (3) is tilted on its axis
Step-by-step explanation:
In AEFG, the measure of ZG=90', the measure of ZE=51°, and FG = 5.2 feet. Find
the length of EF to the nearest tenth of a foot.
Answer: 6.7 feet
Step-by-step explanation: sin 51= 5.2/x
xsin51= 5.2
xsin 51/sin 51 = 5.2/sin 51
x= 5.2/sin 51 =6.6911≈ 6.7 feet
find the 9th term for 150,60,24
Answer:
a(9) = 150*(0.4)^8 = 0.098304
Step-by-step explanation:
This is a geometric sequence, because each new term is 0.4 times the previous term.
The general formula for a geometric sequence is a(n) = a(1)*r^(n - 1). Here, with a(1) = 150 and r = 0.4, we have:
a(n) = 150*(0.4)^(n - 1), and so
a(9) = 150*(0.4)^8 = 0.098304
original price is $150 markdown is 30% what is the retail price
Answer:
$105
Step-by-step explanation:
0.30×150=45
150-45=105
Find the perimeter and the area of the polygon with the vertices: (-1, -2), (-6, -2), (-6, -8), (-1, -8)
Answer:
a) The perimeter of the rectangle =
= 22 units
b) The area of the rectangle
= 30 square units
Step-by-step explanation:
We solve the above question using the formula
= √(x2 - x1)² + (y2 - y1)²
When we are given vertices (x1, y1) and (x2, y2)
The vertices: (-1, -2), (-6, -2), (-6, -8), (-1, -8)
We have to find the length of the sides
Side A
(-1, -2), (-6, -2)
= √(-6 - (-1))² +( -2 -(-2))²
= √-5² + 0²
= √25
= 5 units
Side B
(-6, -2), (-6, -8)
= √(-6 - (-6))² + (-8 - (-2))²
= √(-6 +6)² + (-8 +2)²
= √0² + -6²
= √36
= 6 units
Side C
(-6, -8), (-1, -8)
= √(-1 - (-6))² +(-8 - (-8))²
= √(-1 + 6)² + (-8 + 8)²
=√ 5² + 0²
= √25
= 5 units
Side D
(-1, -2), (-1, -8)
= √(-1 -(-1))² + (-8 - (-2))²
= √(-1 + 1)² + ( -8 + 2)²
= √0 + -6²
= √0 + 36
= √36
= 6 units
From the above calculation,
Side A = Side C = 5 units
Side B = Side D = 6 units
Hence, this polygon is a quadrilateral called the RECTANGLE.
Therefore:
a) The perimeter of the rectangle =
2L + 2W
= 2(5) + 2(6)
= 10 units + 12 units
= 22 units
b) The area of the rectangle
= Length × Width
= 5 units × 6 units
= 30 square units