The length of the base of the following pyramid when the height, angle of elevation is given so it is 158 meters.
Calculation of the length of the base:Since
The height of the pyramid is 71 meters and the angle of elevation of the base of the pyramid is 42°.
So,
[tex]tan (42) = height \div base\\\\base = height \div tan (42)\\\\base = 71\div tan\ (42)\\\\[/tex]
base = 78.85 m
Now
length of the base pyramid = 2× length of the base of the right triangle
= 2 ×78.85
= 157.7
≈ 158 m
Hence, The length of the base of the following pyramid when the height, angle of elevation is given so it is 158 meters.
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Kevin earns $12.00 for every 5 story problems he writes. How much would Kevin get for writing 12 problems?
Answer: $28.80
Step-by-step explanation:
We can start by finding the unit rate. How much money does Kevin earn from writing 1 story problem?
We can find how much Kevin earns from writing 1 story by dividing 12 by 5.
12 ÷ 5 = 2.4.
Therefore, Kevin earns $2.40 for every story he writes.
Now we have to find how much Kevin earns from writing 12 story problems. If Kevin earns $2.40 for every story he writes, then we should mutliply that by 12 to find how much money Kevin earns for writing 12 problems.
2.40 x 12 = 28.8.
In conclusion, Kevin earns $28.80 dollars for writing 12 problems.
Find sin D and sin E. Write each answer as a fraction and as a decimal. Round to four decimals places.
Answer/Step-by-step explanation:
✔️Sin D = opp/hyp
Opp = 12
Hyp = 15
Sin D = 12/15 = 4/5 (as fraction )
Sin D = 0.8 (as decimal)
✔️Sin E = opp/hyp
Opp = 9
Hyp = 15
Sin E = 9/15 = 3/5 (as fraction)
Sin E = 0.6 (as decimal)
Find the median of these numbers:4,2,7,4,3 *
Answer:
4
Step-by-step explanation:
median: the middle value. to find this, arrange your numbers in order from least to greatest and find the one in the middle. if there are two in the middle, add them and then divide by 2.
4, 2, 7, 4, 3 → 2, 3, 4, 4, 7
since 4 is in the middle, that is your answer
The median of the sequence is 4.
What is the median?One of the three methods of measuring central tendency is the median. The centre point of a data set is indicated while describing it. The measure of central tendency is this. The mean, median, and mode are the three most popular methods for calculating central tendency.
Given the sequence 4,2,7,4,3,
to find median arrange the values in ascending order,
2, 3, 4, 4, 7
since the sequence has 5 digits so the median is the middle term,
center digit is 4,
median is 4.
Hence the median is 4
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John and Raul og regularly, one mo
John Jogged 5 kilometer while Ro
J Jogged 3 kilometer i How many
dol John and Raull jog alton
John
Raul ?
How much tather did
than
Question:who jog regularly?
what part of a kilometer did John jog one morning? what about Raul?
what does the problem askyou to find?
how will you solve for the answer to the problem?
Find the GCF of 16a and 40ab
Answer:
8
Good luck! Hope this helps!
Which group of numbers does 2,567
NOT belong to?
B
Whole
Integer
D
Rational
Irrational
Answer:
Irrational
Step-by-step explanation:
Which set of documents do you need to correct a mistake on a filed tax return?
OA.
1040NR, original return, and copy of a Social Security card
OB.
1040NR, original return, and W-2
OC. 1040x, original return, and any supporting forms
OD.
1040X, W-4, and copy of a Social Security card
Answer:
The answer is C. 1040X, original return, and any supporting forms
Step-by-step explanation:
just took the test and got it right on plato
The set of documents needed to correct a mistake on a filed tax return is 1040X, original return, and any supporting forms. Thus, option C is correct.
What is a tax return?A tax return is the submission of documentation that estimates an entity's or individual's earned income and the sum of taxes to be paid to the government or other government entities or, in some cases, returned to the taxpayer. Taxation is one of the most important sources of revenue for the government.
If users discover an error on your return, you can modify it using Form 1040-X, Amended United States Individual Income Tax Return. If an individual is filing status, income, deductions, credits, or tax liabilities change, you must revise your return.
The 1040X, original return, and any proper documents are required to rectify a mistake on a filed tax return. As a result, option C is correct.
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y = 2(x - 8)(x+2)
A. What are the X intercept(s)?
B. What is the Vertext?
C. What is the axis of symmetry?
D. What is the Y intercept?
Answer:
Step-by-step explanation:
y=2(x-8)(x+2)
The x intercepts occur when y=0, so when x=8 and -2
The vertex is where the equation is at a minimum/maximum in this case (x,y)=(3,-50)
The axis of symmetry occurs between the two roots, 8 and -2 which x=3
The y intercept is the value of y when x=0, in this case (0, -32)
2 in.
Find the surface
area of this figure.
2 in.
8 in.
[?] square inches
8 in.
5 in.
12 in.
10 in.
Can anyone help me with this?
Answer:
528 in.²
Step-by-step explanation:
Surface area of the figure = (surface area of the smaller rectangular prism + surface area of the bigger prism) - area of 1 of the base of the smaller rectangular prism
✔️Surface area of the bigger rectangular prism = 2(WL + HL + HW)
= 2(10*12 + 5*12 + 5*10) = 2(120 + 60 + 50)
= 2(230)
Surface area of bigger rectangular prism = 460 in.²
✔️Surface area of the smaller rectangular prism = 2(WL + HL + HW)
= 2(2*2 + 8*2 + 8*2) = 2(4 + 16 + 16)
= 2(36)
Surface area of smaller rectangular prism = 72 in.²
✔️area of 1 of the base of the smaller rectangular prism = L*W = 2*2 = 4 in.²
✅Surface area of the figure = (460 + 72) - 4
= 532 - 4
= 528 in.²
Evaluate g(x)=3x when x=-2,0and 5
Answer:
When x = -2, g(x) = -6
When x = 0, g(x) = 0
When x = 5, g(x) = 15
Step-by-step explanation:
We have a function and are asked to evaluate and solve when we have three different values for x.
To solve, all we need to do is substitute the numbers with the corresponding value.
3(-2)
-6
3(0)
0
3(5)
15
NC Check-Ins 2 Math Grade 7 - NC Check-In 2- 2020-21 - Form 5657
X?
-
Cards numbered 500 through 799 are placed into a box. How many of the cards satisfy both of the conditions shown below?
. The first digt of the three-digit number on the card is odd.
• The three-digit number on the card is divisible by 6.
A
SO
33
C
25
12
First
Answer:
33
Step-by-step explanation:
Given that :
Card numbered from: 500 - 799
The required number of values must meet both conditions 1 and 2
Condition 1 : first of the 3 digits is odd :
500 - 599 = 100
700 - 799 = 100
(100 + 100) = 200 cards
Condition 2: three digits is divisible by 6
{500 - 599} and {700 - 799}
The numbers divisible by 6 are 33
3x+4=8y-3 5x+1=10y-4
Answer:
x-3 and y=2
Step-by-step explanation:
-8 = 32 - 5q
Find q please! (Please explain how aswell)
Answer:
q=8
Step-by-step explanation:
-5q=-8-32
-5q=-40
q=-40/-5
q=8
Answer:
q = 8
Step-by-step explanation:
32-5q=-8
subtract 32 from both sides
32-5q-32=-8-32
simplify
-5q=-40
divide both by -5
-5q/-5 = -40/-5
Answer
q = 8
you roll two dice 88 times how many times do you expect to roll a sum of seven
if 13 sin ¶=5. [here,¶ means theta]
then the
value of
tan¶=
Step-by-step explanation:
Given
13 sin θ = 5
sin θ = 5/13 = p/h
p = 5 , h = 13 and b = ?
By using Pythagoras theorem
b = √ h² - p²
= √ 13² - 5²
= √144
b = 12
Now
tan θ
= p / b
= 5 / 12
Hope it will help :)
Why do we need to learn about Statics? What are its capabilities?
Answer:
I DID NOT WRITE THIS
Step-by-step explanation:
Statistical knowledge helps you use the proper methods to collect the data, employ the correct analyses, and effectively present the results. Statistics is a crucial process behind how we make discoveries in science, make decisions based on data, and make predictions.
Answer:
Statistics is the science and, arguably, also the art of learning from data. As a discipline it is concerned with the collection, analysis, and interpretation of data, as well as the effective communication and presentation of results relying on data.
Step-by-step explanation:
Statistics are important because today we live in the information world and much of this information's are determined mathematically by Statistics Help. It means to be informed correct data and statics concepts are necessary. They use their statistical skills to collect the relevant data.
A hyena runs at a rate 32 miles per hour. Which equation models the situation? H = time spent running, in hours d = distance run in miles
Answer:
32h = d
Step-by-step explanation:
IM SMART TRUST ME
5. Use figure ABCD below. Draw a line segment
from point B to point D. Name and classify
6.
the triangles formed.
А A
B
pany
Answer:
Triangle ABD and Triangle CDB. Both are obtuse scalene triangles.
Step-by-step explanation:
Homework due at 12:00 I need HELP. Please!!!
QUESTION 7 of 10: You begin the week with 30 units of orange juice. You purchase 50 units. Your ending inventory for the week is 30 un
How many units did you sell?
ОООО
a) 5
b) 15
c) 49
O d) 50
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The number of units sold.
= Total units - Units at the end
The number of units sold is 50 units.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number of units of orange juice at beginning = 30 units
The number of units purchased = 50 units
Total units = 30 + 50 = 80 units
The number of units at the end = 30 units.
The number of units sold.
= Total units - Units at the end
= 80 - 30
= 50 units.
Thus,
The number of units sold is 50 units.
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2(× + 8)= × + 20
Which value of x makes the following equation true?
A. -4
B. 12
C. 4
D. 20
Answer:
C. 4
Step-by-step explanation:
This system has ______ solutions
Answer:
No solution because the lines are parallel and never intersect. If it were two perpendicular lines the solution would be where the two lines intersect.
Step-by-step explanation:
Answer:
Zero solution
Step-by-step explanation:
it is amazing. Thank alot :)
12+10 use distributive property something that can be dived help please for the first one they got 2(6+5)
Please help me with these questions I’ll give you brainliest if you help with all questions
Answer:
sorry sorry sorry sorry sorry sorry sorry sorry sorry sorry sorry sorry sorry sorry sorry sorryStep-by-step explanation: i dont kno w
Triangle MAT is similar to Triangle RUG. Complete the statement: Line segment
MT corresponds to
A
U
À
M
T
R
G
HELPPPPPPPP MEEEEEEEE
Answer:
5-9.5=5+(-9.5)
.................
hi please help :)))))))
Answer:
there is no difference
Step-by-step explanation:
A 13.5 m fire truck ladder is leaning against a wall.
Find the distance the ladder goes up the wall if it
makes an angle of 43.8° with the ground.
To solve this problem you must apply the proccedure shown below:
1. You have the the 13.5-m fire truck ladder is leaning against a wall and the ladder makes an angle of 39 degrees 45 ' with the horizontal.
2. Then you have:
39 degrees 45'=39.75°
Sin(39.75°)=d/13.5
d=13.5xSin(39.75°)
d=8.63
If you want your life to be color full eat crayons
Answer:
omg.... that makes absolute sense ty I never thougth of it like that
Step-by-step explanation:
100 POINTS! SHOW WORK!
Given : MO bisects
Answer:
[tex]\huge\boxed{\boxed{\mathcal{C)x=13.25}}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:disectsequationPEMDAStips and formulas:disects divide an angel to two equal angleslet's solve:[tex] step - 1 : define[/tex]
[tex]\text{according to the question}[/tex]
[tex] \sf5x - 22 = x + 31[/tex]
[tex] step - 2 : solve[/tex]
[tex] \sf \: add \: 22 \: to \: both \: sides : \\ \sf5x - 22 + 22 = x+31+22\\ \sf 5x=x+53[/tex][tex]\sf\text{ cancel x from both sides}\\ \sf 5x-x=x-x+53\\ \sf 4x=53[/tex][tex] \sf divide \: both \: sides \: by \: 4 \\ \sf \frac{4x}{4} = \frac{53}{4} \\ \sf x = 13.25[/tex]If MO bisects <LMN then m<LMN=2m<LMO
[tex]\\ \sf\longmapsto 5x-22=2(x+31)[/tex]
[tex]\\ \sf\longmapsto 5x-22=2x+62[/tex]
[tex]\\ \sf\longmapsto 5x-2x=62+22[/tex]
[tex]\\ \sf\longmapsto 3x=84[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{84}{3}[/tex]
[tex]\\ \sf\longmapsto x=28[/tex]