Before rock climbing, Michelle wants to know how
high she will climb. She places a mirror on the
ground and walks backward until she can see the
top of the cliff in the mirror. She drew a sketch of
the situation. What is the height of the cliff?
Answers
Answer:
22 feets
Step-by-step explanation:
From the diagram attached :
We have two similar triangles which can be related proportionally :
Hence ;
Mitchell's height / distance from mirror = cliff height / cliff distance
Michelle's height = 5.5
Michell's distance from mirror = 4
Cliff height = h
Cliff distance from mirror = 16
We have ;
5.5 / 4 = h / 16
Cross multiply :
4 * h = 5.5 * 16
h = 88 / 4
h = 22 feets
Related Questions
will name the brainliest!!!
Answers
Answer:
x = 10.7 (as rounded to the nearest tenths)
Step-by-step explanation:
Angle 50 is given and so is it's adjacent side, we have to find its opposite side so we will use the Tangent ratio;
Tan(50) = [tex]\frac{x}{9}[/tex]
=> To isolate the variable x, multiply 9 on each side of "="
Tan(50) * 9 = x
10.7 = x
Hope this helps!
A triangular pyramid has lateral faces with bases of 8 meters and heights of 10
meters. The area of the base of the pyramid is 27.7 square meters.
What is the surface area of the pyramid?
The surface area of the pyramid is
square meters.
Answers
Answer:
147.7 m²
Step-by-step explanation:
Area of the triangular faces = 1/2 × base × height
A triangular pyramid has lateral faces with bases of 8 meters and heights of 10 meters.
Hence: 1/2 × 8 × 10 = 40 m²
A triangle has 3 faces, hence, area of the 3 faces = 3 × 40 m²
= 120m²
The area of the base of the pyramid is 27.7 square meters.
Hence, the surface area of the pyramid is calculated as:
Area of the 3 lateral faces of the pyramid + Base area
= 120m² + 27.7 m²
= 147.7 m²
The surface area of the pyramid is 147.7 square meters.
Which is equivalent to √3+√12?
Answers
Answer:
3[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Simplifying [tex]\sqrt{12}[/tex]
[tex]\sqrt{12}[/tex]
= [tex]\sqrt{4(3)}[/tex]
= [tex]\sqrt{4}[/tex] × [tex]\sqrt{3}[/tex]
= 2[tex]\sqrt{3}[/tex]
Then
[tex]\sqrt{3}[/tex] + [tex]\sqrt{12}[/tex]
= [tex]\sqrt{3}[/tex] + 2[tex]\sqrt{3}[/tex]
= 3[tex]\sqrt{3}[/tex]
i need answer. Please help me.
Answers
I think it’s positive. As it gets heavier, the cost has a positive slope, or increases. I’m not absolutely sure though
WHOEVER ANSWERS FIRST GET BRAINLIEST
Multiply.
4 1/6 × 5 3/5
Enter your answer in the box as a mixed number in simplest form.
(Answer)
Answers
Answer:
Exact Form: 70/3
Decimal Form: 23.333
Mixed Number: 23 1/3
Step-by-step explanation:
Someone PLEASEEEE HELPPPP
Answers
Answer:
x = 18√3
Step-by-step explanation:
From the picture attached,
In a right triangle,
Measure of one angle = 30°
Measure of adjacent side of the angle = 9 units
We have to find the measure of Hypotenuse from the given properties.
By cosine rule,
cos(30°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{\sqrt{3}}{2} =\frac{9}{x}[/tex]
[tex]x=18\sqrt{3}[/tex]
Therefore, measure of Hypotenuse is 18√3 units.
Determine the volume of the rectangular prism. (3 points)
30/7 cm2
1/3cm
Answers
Answer:
10/7 cm^3
Step-by-step explanation:
I can only assume that '30/7 cm^2' represents the area of the base and 1/3 cm the height. If and only if that is the case, then the volume is
V = (base area)(height) = (30/7 cm^2)(1/3 cm) = 10/7 cm^3.
help pleaseeeeeeeeeee !
Answers
Answer: acute 90-
Step-by-step explanation:
Answer: 21.9
Step-by-step explanation:
tan-1(4 / 10)
I hope im right
Drew received a bonus check for $2500 and he's going to deposit the money into a bank account there is is 5.5% simple interest amount of interest earned each year is how much
Answers
Answer:
$137.50
Step-by-step explanation:
Simples interest = amount deposited x time x interest rate
2500 x 0.055 x 1 = 137.50
Answer:m
Step-by-step explanation:
What are the solutions of x2 + 6x – 16 = 0?
The 2 is a variable PLZZ GET IT RIGHT
Answers
Answer:
[tex]x=2,x=-8[/tex]
Step-by-step explanation:
[tex]x^{2} +6x-16=0\\x^{2} +8x-2x-16=0\\x(x+8)-2(x+8)=0\\x-2=0 ,x+8=0\\x=2,x=-8[/tex]
Which expression is equivalent to 9m – 36?
A. 9(m – 36)
B. 8m – 12 + m + 48
C. 9(m + 4)
D. -12m + 4 + 21m – 40
Answers
D is the right answer
HELPP MEE!!! Find the total area of the figure below. Round your answer to the nearest tenth.
Answers
Answer:
area = 110.72 m²
Step-by-step explanation:
area of square = 8 x 9 = 72 m²
area of triangle = 1/2 x 3 x 9 = 13.6 m²
area of semi circle = 1/2πr² = 1/2(3.14)(4²) = 25.12 m²
total area = 72 + 13.6 + 25.12 = 110.72 m²
Write a verbal description of the
meaning of f(3) = 6.
Answers
Answer:
When your input is 3, (x value), the y-value would be 6.
Step-by-step explanation:
A hardware store has one basket with 40 pairs of slip-joint pliers. 5 of the 40 pairs are 6-inch slip-joint pliers. A second basket contains 20 rubber mallets. 3 of the 20 rubber mallets are small rubber mallets. What is the probability of picking a pair of 6-inch slip-joint pliers and not drawing a small rubber mallet?
Answers
Answer:
[tex]\frac{85}{800}[/tex] or [tex]\frac{17}{160}[/tex] simplified
Step-by-step explanation:
In order to find the probability of this sequence of events happening we first need to find the probability of each event happening seperately and then multiply them together.
If there are 40 slip-joint pliers and only 5 are 6-inch then the probability of picking a 6-inch plier is 5/40. If there are a total of 20 rubber malets and only 3 are small then the probability of picking a non-small rubber mallet would be 17/20... Now we simply multiply these two probabilities together...
[tex]\frac{5 *17}{40 * 20}[/tex] = [tex]\frac{85}{800}[/tex] or [tex]\frac{17}{160}[/tex] simplified
❗️❗️HELP ❗️❗️Triangle ABC is shown below.
98
46
B
Use the drop-down menus to explain how to determine the measure of angle A. Click the arrows to
choose an answer from each menu.
degrees, so the measure of
The measure of angle A is
The sum of the interior angles of a triangle equals Choose...
angle A can be found by calculating Choose...
Choose... degrees
Answers
Answer: I need this one too
Step-by-step explanation:
Answer:
180
180 - (98 + 46)
36
Step-by-step explanation:
PLS HELP ME WITH THIS QUESTION!!
Answers
Answer:
a
Step-by-step explanation:
can someone please help its my last one
Answers
Answer:
80 + 40 + (x + 64) = 180
120 + (x + 64) = 180
-120 -120
x + 64 = 60
-64 -64
X = -4
Step-by-step explanation:
Let's double check
64 - 4 = 60
60 + 80 + 40 = 180 It works!
Therefore X = -4.
Queremos repartir 5 quesos a partes iguales entre ocho personas ¿Qué fracción le corresponde a cada uno?
Answers
Answer:
5/8
Step-by-step explanation:
Se asume que los quesos son iguales.
Para repartirlos Ud., toma cada queso y lo divide en 8 partes iguales y entrega 1/8 de queso a cada quién. Si hace esa operación 5 veces ( ya que son 5 quesos) Ud., debera multiplicar la porcion 1/8 por 5. De tal manera que la respuesta es:
(1/8)* 5 = 5/8
Find the area of the circle. *
5 cm
Answers
Answer:
A≈78.54
Step-by-step explanation:
Math question:
Help me out and I will do anything
Answers
Answer:
b. 2/5
Step-by-step explanation:
[tex] \frac{8}{20} \frac{ \div 4}{ \div 4} = \frac{2}{5} [/tex]
Answer:
The experimental probability of tossing heads is [tex]\frac{2}{5}[/tex].
Step-by-step explanation:
The experimental probability is the probability that is determined on the basis of the results of an experiment repeated many times. Since Vernon tossed 8 heads during his 20 experiments, the experimental probability of tossing heads is [tex]\frac{8}{20}[/tex] or [tex]\frac{2}{5}[/tex].
Math
HELPP PLEASEEE
It is 1.32 pm, Sem will go to the store in 12 minutes. What time will Sam go
to the store?
Answers
Answer: 1:44
Step-by-step explanation: 1:32. take the 32 and add 12. 1:44
Answer:
1:32
Now add 12 minutes to 32.
1:44
Step-by-step explanation:
The number on the left of the colum is the hour and the number on the right of the colum is the minutes.
a rectangle has an area of 34 sqaure feet. A larger rectangle has an area of 124 sqaure feet. what is the percent increase of the larger rectangle to the smaller rectangle
Answers
Answer:
The difference in areas:
124 - 34 = 90 square feetPercent increase:
90/34*100% = 264.71%the duration of a movie is 3 hours and 15 minutes if it starts at 6:30pm at what time will it end?
Answers
Answer:
9:45pm
Step-by-step explanation:
3 hours= 9:30pm
3 hours including 15 minutes= 9:45 pm
plz help I will mark brainliest !!!
Answers
Answer:
-5.3 Fahrenheit
Step-by-step explanation:
mark me brainliest
Answer:
b
Step-by-step explanation:
the graph of the function y=x^(2) is reflected across the x-axis, then translated two units left and six units down, write and equation to represent the new functoin
Answers
Answer: -4,-2
Step-by-step explanation: Since it is reflected across the x- axis, translated two units left and six units down it would be -4, -2 because 2-6= -4
A model rocket is launched with an initial upward velocity of 188 ft/s. The rocket's height h (in feet) after t seconds is given by the following.
h=188t-16t^2
Find all values of for which the rocket's height is 92 feet.
Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)
Answers
Answer:
0.51 and 11.24 seconds.
Step-by-step explanation:
The height h of a rocket with an initial upward velocity of 188 feet per second after t seconds is modeled by the function:
[tex]h(t)=188t-16t^2[/tex]
And we want to find all values of t for which the rocket's height is 92.
So, we can set h(t) = 92 and solve for t:
[tex]92=188t-16t^2[/tex]
We can divide everything by four:
[tex]23=47t-4t^2[/tex]
Rearrange the equation:
[tex]4t^2-47t+23=0[/tex]
We can use the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
In this case, a = 4, b = -47, and c = 23. Substitute:
[tex]\displaystyle x=\frac{-(-47)\pm\sqrt{(-47)^2-4(4)(23)}}{2(4)}[/tex]
Evaluate:
[tex]\displaystyle x=\frac{47\pm\sqrt{1841}}{8}[/tex]
Hence, our two solutions are:
[tex]\displaystyle x=\frac{47+\sqrt{1841}}{8}\approx 11.24\text{ or } x=\frac{47-\sqrt{1841}}{8}\approx0.51[/tex]
So, the rocket reaches a height of 92 feet after 0.51 seconds and again after 11.24 seconds.
What is the best measure of center for the histogram
A)Mean
B) Median
C) Mode
D) Range
Answers
Answer:
(B)
Step-by-step explanation:
I think it will help you
Find the numbers missing from this table of data that gives a prediction of
how many students are freshmen, sophomores, juniors, and seniors based on
data found in a sample of 1000 students:
Answers
Answer:
a = 21%
b = 260%
c = 25%
Step-by-step explanation:
I just answered that question
anyone know how to do this?
Answers
Answer: A reasonable estimate of the minimum is 20.
How many unit cones would you need to make rectangular prism that is 8 cubic units tall, 4 cubic units wide, and 6 cubic units long?
Answers
Answer:
192 unit³
Step-by-step explanation:
The number of unit cones required t make a rectangular prism of the dimension given is obtained by calculating the volume of the rectangular prism:
Height, h = 8 unit³
Width, w = 4 unit³
Length = 6 unit³
The volume of the rectangular Prism is given as :
Volume = Length * width * height
Volume = (6 * 4 * 8) unit³
Volume = 192 unit³