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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Pls can anyone help il give more points plsss
Answer:
1. 25
2. 3 hours
3. from 10:00 am to 10:30 am because he went 10 miles in 30 minutes
Step-by-step explanation:
what is a linear equation that is perpendicular to y=5
A tree casts a shadow 21m long. The angle of elevation of the sun is 51º. What is the height of the tree? Round your answer to the nearest tenth.
Answer:
25.9
Step-by-step explanation:
If a tree casts a shadow 21 m long. Then the height of the tree will be 25.9 meters.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
A tree casts a shadow 21 m long.
The angle of elevation of the sun is 51°.
Let h be the height of tree.
Then the height of the tree will be
tan 51° = h / 21
h = 25.93 m
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Find the tenth term of the geometric sequence with a1 = 3, and r = 2.
1377
1526
1659
1536
1500
General term of GP: a
1
r
n−1
10
th
term of GP =a
1
r
9
=45(0.2)
9
=23040×10
−9
=2.304×10
−5
Answer:
1536
Step-by-step explanation:
The n th term of a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]
Here a₁ = 3 and r = 2 , then
a₁₀ = 3 × [tex]2^{9}[/tex] = 3 × 512 = 1536
What is the answer please help me
Answer:
am not really sute bt its ..no
Which trig ratio would you use to solve this?
O Sine
O Cosine
O Tangent
O Saskatchewan
Answer:
Cosine
Step-by-step explanation:
sine = soh=o/h
cos=cah=a/h
tangent=toa=o/a
If you look at right triangle the slanted line is the hypothese. it will always be. so thats h. the adjacent is the line connected the the angle you are looking for. and opposite is the line thats away from the angle.
Last week a gumball machine dispensed 12 purple gumballs and 48 other gumballs. What is
the experimental probability that the next gumball dispensed will be purple?
Simplify your answer and write it as a fraction or whole number
P(purple) =
Answer:
1/5
Step-by-step explanation:
12/60=1/5
Sarah read 215 pages of her book during the first week of vacation. During the second week she read62 more pages then the first week
Answer:
She read 277 pages during the second week.
Step-by-step explanation:
215 + 62.
Answer: she read 277 books
Step-by-step explanation:
please help will give brainliest answer
Answer:
Question 3
C. [tex] y-9 =1/2(x-1)[/tex]
Question 4
D. [tex] y+5 =3(x+2)[/tex]
Step-by-step explanation:
Question 3:
Equation of line in point slope form is given as:
[tex] y-y_1 =m(x-x_1)[/tex]
Plug m = 1/2, [tex] x_1 = 1, \:y_1 = 9 [/tex] in the above equation, we find:
[tex] y-9 =1/2(x-1)[/tex]
This is the required equation of the line.
Question 4:
Equation of line in point slope form is given as:
[tex] y-y_1 =m(x-x_1)[/tex]
Plug m = 3, [tex] x_1 = - 2, \:y_1 = - 5[/tex] in the above equation, we find:
[tex] y-(-5) =3[x-(-2)][/tex]
[tex] y+5 =3(x+2)[/tex]
This is the required equation of the line.
lmk if you got the answers
Step-by-step explanation:
area of trapezium= 1/2×sum of parallel sides× height
=1/2×(9+9+7)×8
=1/2×25×8
=100
I hope this helps( ╹▽╹ )♥
There is a brick patio around a fire pit, as shown. Use 3.14 for pi.
What is the area of the fire pit?
Answer:
28.27
you just have to know the formula
1 2/5 x 1 2/5 as a fraction mixed fraction
Answer:
1 24/25 or one and twenty-four twenty-fifths (in word form).
Step-by-step explanation:
This would be the answer since, we firstly have to convert the mixed fractions into improper fractions. 7/5*7/5, which equals to 49/25. In simplified form it would be 1 2/25.
1 2/5=7/5
7/5*7/5= 49/25 or 1 24/25.
Anyhow, the answer is 1 24/25
The simplified mixed fraction for the given fraction is [tex]24\frac{1}{2}[/tex]
What are mixed fractions?A fraction represented with its quotient and remainder is a mixed fraction, a mixed fraction is a combination of a whole number and a proper fraction.
Given that a fraction [tex]1\frac{2}{5}[/tex] × [tex]1\frac{2}{5}[/tex]
We need to simply it in a mixed fraction,
[tex]1\frac{2}{5}[/tex] × [tex]1\frac{2}{5}[/tex]
= 7/2 × 7/2
= 49 / 2
= [tex]24\frac{1}{2}[/tex]
Hence, the simplified mixed fraction for the given fraction is [tex]24\frac{1}{2}[/tex]
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The Amar family drives 90 miles in 2 hours, as shown on the double number line below.
image 05c5e308c558498fa8ba743ccde15e1d
At this rate, how many hours will it take the family to drive 225 miles?
A.
2.5 hours
B.
5 hours
C.
6 hours
Answer:
oh nah 1.98
Step-by-step explanation:
Answer: 45
Step-by-step explanation:
divide 90 by 2
middle school math
3 with tiny 2 on top+1•2
Answer:
11
Step-by-step explanation:
3^2 + 1 • 2 = 11
NOTE:
'^' is the exponent symbol
£800 is paid into a bank account that pays 3% simple interest
annually.
How much will be in the account after 1 year
Answer:
£824
Step-by-step explanation:
3% of 800 + 800
1% = ÷100
800 ÷ 100 = 8
8×3=3%=24
800 +24 =£824
2x+2 (1-4X) = 88-5 (x+4)7x + 2
Answer:
x=4/7
Step-by-step explanation:
True or false:
There is some translation
(x, y) + (x + h, y + k) that maps a square
to a circle.
Select one:
O True
False
Answer:
true
Step-by-step explanation:
Answer:
true
Step-by-step explanation:
Solve for indicated side
Your Answer:
Question 4 options:
Answer
Answer: x=10
Step-by-step explanation:
Picture below.
Can you PLEASE write a paragraph of how tragicomic functions work PLEASE!!!
— 2x — 6 = 3x — 21
Help me anyone
Answer:
Step-by-step explanation:
-2x+3x=-21+6
or x=-15
Answer:
x=3
Step-by-step explanation:
-2x-6=3x-21
Add 21 to both sides of the equation
-2x-6+21=3x-21+21-2x+15=3xAdd 2x to both sides of the equation
-2x+2x+15=3x+2x15=5xDivide each side by 5 to isolate x
15÷5=5x÷53=xWrite an algebrale expression for the phrase "elghe more than three times a
number
x 3
Step-by-step explanation:
Help me pls pls pls
Answer:
F
Step-by-step explanation:
Dependent is the y-axis and independent is the x-axis. So your answer is F.
Hope this helps, thank you !!
What is the circle the triangle and the square
Answer:
26
Step-by-step explanation:
○= 7
□=5
◇=4 (The triangle)
Imagine you measure the length of 15 cars, and then sum that length, in order to see how big a parking lot must be. You do this in two different ways. First, you use the same bad tape measure for each car so that your measurement is always 1 cm too long, or always too short, for all of the measurements. For your second attempt, you use a different bad tape measure for each car, so there is an uncertainty of plus or minus 1cm in each measurement. What is your estimate of the total error in the sum of all the car lengths in these two cases
Answer:
± 15 cm
Step-by-step explanation:
In the first case, since the measurement is 1 cm too long or too short, the error is ± 1 cm.
In the second case, the uncertainty or error is also ± 1 cm.
Now, since there are 15 cars, and there is an error of ± 1 cm in each measurement, by the error formula the total error in the sum of both cases is 15 × ±1 cm = ± 15 cm
So, the total error in both cases is ± 15 cm.
Compare -3 and 9. Which of the following is true?
O A. 1-31 > 191 and -3 < 9
B. 1-31 < 19 and -3<9
C. 1-31 = 19 and -3 < 9
D. 1-31 > 191 and -3>9
Please I need help
Answer:
b :)
Step-by-step explanation:
If you simplify it you get:
|-3|<|9|
3 < 9
true
and -3 < 9
true
Which term best describes the two lines represented by the equations below?
Answer:
Option (2)
Step-by-step explanation:
Equations of the lines have bee given as,
y = [tex]\frac{4}{3}x-5[/tex]
y = [tex]\frac{4}{3}x+3[/tex]
Both the equations are in the slope intercept form. (y = mx + b)
They have same slopes but different y-intercepts.
Same slopes of the equations define the lines to be the parallel lines.
Therefore, Option (2) will be the correct option.
Solve x 2 + 2x - 1 = 0
Answer:
x=-1/2
Step-by-step explanation:
hope this helps
Determine the AMPLITUDE and the MIDLINE of the sine function below.*
1 poin
y = – 3sin(2x) - 5
a. Amplitude = -3, Midline = -5
b. Amplitude = 3, Midline 5
c. Amplitude = 3, Midline - 5
d. Amplitude = 2, Midline = – 3
O a.
Step-by-step explanation:
Amplitude of the sine function is 1.
So if its multiplied by -3, its amplitude is 3 (its always positive).
The midline of sin x is 0.
The midline of sin 2x is also 0.
The midline of -3*sin 2x is also 0.
So if you subtract this function by 5, then the new midline is -5.
State the postulate or theorem you would use to prove each pair of triangles congruent. If the triangles cannot be proved congruent, pick not possible
The triangles can be proven similar by the congruent theorem of triangles
What are Congruent Triangles?
Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape
The three sides are equal (SSS: side, side, side)
Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)
Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)
A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)
Given data ,
Let the two triangles be ABC and DEF
Now , the two triangles will be similar if
The three sides are equal
So , AB = BC = CD and
DE = EF = FD
And the two triangles are congruent if
By ASA theorem - two angles are the same and a corresponding side is the same
And ,
By SAS theorem : Two sides are equal and the angle between the two sides is equal
And ,
By RHS theorem : A right angle, the hypotenuse and a corresponding side are equal
Hence , the triangles ABC and DEF is similar ΔABC ≅ ΔDEF
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On Saturday, Luke drove 5x − 4 miles. On Sunday, he drove 3x − 3 miles. What is the difference in miles driven?
A. 2x+1
B. 2x + 7
C. 2x - 1
D. 2x - 7
PLEASE ANSWER ASAP IM TAKING THE TEST RN