Answer:
D. 72°
Step-by-step explanation:
Given
Adjacent = 5feet
Hypotenuse = 16feet
Using SOH CAH TOA
cos theta = adj/hyp
cos theta = 5/16
cos theta = 0.3125
theta = arccos 0.3125
theta = 71.7
theta = 72 degrees
Describe the relationship between base 4 and exponent 3
there are no choices I just need an answer
Answer:
To the power 3 means cube.
Whenever you cube an even number it is a multiple of 8.
Whenever an exponent is used on 4, the number is always a square.
The value of the give exponent is 64.
Given that, the base is 4 and exponent is 3.
What is the exponent?Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.
With the base 4 and exponent 3, we have
4³
= 4×4×4
= 64
Therefore, the value of the give exponent is 64.
To learn more about an exponents visit:
https://brainly.com/question/15993626.
#SPJ2
Where do planes ABC and BFG intersect?
Answer:
Letter B
Step-by-step explanation:
Mick paid $3.84 in sales tax on an item that cost $64.00 before tax. At that rate, how much would he pay in
sales tax for an item that costs $53.00 before tax? Explain STEP-BY-STEP
Tax rate = tax amount / item cost
Tax rate = 3.84 / 64.00
Tax rate = 0.06 (6%)
Tax amount = item cost x tax rate
Tax amount = 53.00 x 0.06 = $3.18
-2/3-(-3/4)
Simplify if needed
Answer:
1/12
Step-by-step explanation:
Start by simplifying the fraction's signs:
[tex]-\frac{2}{3} - (- \frac{3}{4} ) = -\frac{2}{3} +\frac{3}{4}[/tex]
Now write both fractions as equivalent fraction with a common denominator of 12:
[tex]-\frac{2}{3} +\frac{3}{4} =-\frac{8}{12} +\frac{9}{12}=\frac{1}{12}[/tex]
If you need to add 5/6 to 5/12
again you need to write the fractions with a common denominator in this case also 12:
[tex]\frac{5}{6} +\frac{5}{12}= \frac{10}{12} +\frac{5}{12}=\frac{15}{12} = \frac{5}{4}[/tex]
in this last step we simplified a common factor of "3" in numerator and denominator to reduce the fraction to 5/4
Classify each number according to its value
5.2×10-4
Answer:
48
Step-by-step explanation:
first put 5.2 x 10 in parentheses . Which you do first then subtract 4 and you will get your answer.
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Answer:
Step-by-step explanation:
When x = -4, y = 2(-4)+2 = -6.
When x = -3, y = 2(-3)+2 = -4.
Fill in the other values of y the same way.
Answer:
(-4, -6)(-3, -4)(-2, -2)(-1, 0)(0, 2)(1, 4)(2, 6)Explanation:
y = 2x + 2
x: -4
y = 2(-4) + 2
y = -6
x: -3y = 2(-3) + 2
y = -4
x: -2y = 2(-2) + 2
y = -2
x: -1y = 2(-1) + 2
y = 0
x: 0y = 2(0) + 2
y = 2
x = 1y = 2(1) + 2
y = 4
x = 2y = 2(2) + 2
y = 6
See Image Below For Plotted Points
- PNW
Please helpp. I have to get this done before 10:05.
Answer:Adjacent angles are two angles that have a common vertex and a common side but do not overlap. In the figure, ∠1 and ∠2 are adjacent angles.
Step-by-step explanation:
It is correct
The price of an item yesterday was $140. Today, the price fell to $42. Find the percentage decrease.
Answer:
Step-by-step explanation:
140-42 = 98
amount of decrease = $98
$98/$140 = 0.7 = 70%
The price decreases by 70%
I have this question on a homework and don't know how to do It
Area of a triangle = 1/2 x length x height.
80 = 1/2 x (x+1) (2x-2)
Multiply both sides by 2:
160 = (x+1)(2x-2)
Expand the right side:
160 = 2x^2 -2
Add 2 to both sides:
162 = 2x^2
Divide both sides by 2:
81 = x^2
Take the square root of both sides:
x = 9
Now find the length of the s1des:
(x+1) = 9+1 = 10
2x-2 = 2(9) -2 = 18-2 =16
The shorter side is 10
Lester's Cafe offers two kinds of espresso: single-shot and double-shot. Yesterday afternoon, the cafe sold 100 espressos in all, 40% of which were single-shot. How many single-shot espressos did the cafe sell?
Answer:
The cafe sold 40 single shot espressos.
Step-by-step explanation:
Plss HELP I’LL GIVE BRAINLIEST!!!!!
A right rectangular prism is shown. The two dimensional net is also shown. Find the surface area of this prism.
A)
20 cm?
B)
36 cm2
C)
54 cm
D)
58 cm2
Answer:
the answer is D:)
Step-by-step explanation:
Pete read 2/5 of his book on the first day and 1/4 of his book on the second day. What fraction of the book Pete has left to read after two days of reading
=========================================================
Work Shown:
2/5 = 8/20 .... multiply top and bottom by 4
1/4 = 5/20 ..... multiply top and bottom by 5
The fractions 2/5 and 1/4 are equivalent to 8/20 and 5/20 in that order.
These new equivalent fractions add to 8/20+5/20 = (8+5)/20 = 13/20
After two days, Pete has read 13/20 of the book.
This leaves 1 - (13/20) = 20/20 - 13/20 = (20-13)/20 = 7/20 of the book left to be read.
Note how 13/20 + 7/20 = (13+7)/20 = 20/20 = 1
There are 10 girls and 6 boys in a class. The teacher randomly draws one student's name and then draws another. What is the probability that the first name drawn will be a boy and the second will be a girl? (Please show work so I can understand)
60%
23.4%
16%
25%
Answer:
25%
Step-by-step explanation:
Answer:
D 25%
Step-by-step explanation:
please help me please i really need help please
Answer:
Step-by-step explanation:
x + y = 1 -------------------(I)
5x + 3y = -3 -----------------(II)
Multiply (I) by (-5) -5x - 5y = -5
5x + 3y = -3 {Now add}
-2y = -8
y = -8/-2
y = 4
Plugin y = 4 in equation (I)
x + 4 = 1
x = 1 -4
x = -3
Solution: (-3, 4)
A line passes through the point (-2, 7) and has a slope of -5.
What is the value of a if the point (a, 2) is also on the line?
a. -7
b.-1
c.1
D.7
I NEED ANSWERS SOON
Answer:
[tex]\boxed{a = 3}[/tex]
Step-by-step explanation:
[tex] (using \: the \: points : (2, \: 7) = ( x_{1}, \: y_{1}\: \: ) \\ hence : (a, \: 2) = ( x_{2}, \: y_{2}\: \: ) \\ but \: m = \frac{ y_{2} -y_{1} }{x_{2} - x_{1}} = \frac{2 - 7}{a - 2} \\ - 5 = \frac{2 - 7}{a - 2} \\ - 5(a - 2) = 2 - 7 \\ - 5a + 10 = 2 - 7 \\ - 5a = - 5 - 10 \\ - 5a = - 15 \\ a = \frac{ - 15}{ - 5} \\ \boxed{a = 3}[/tex]
What's the slope of -x+2y=5
Answer:
Slope = (1/2)
Step-by-step explanation:
Rearrange the equation into the y = mx + b format.
-x + 2y = 5
2y = x + 5
y = (1/2)x + (5/2)
m represents slope, which is (1/2) in this question.
I need help please. Thank you.
Which model can be used to represent the number below pls help
X-4=12 what does x equal
Answer:
x = 16
Step-by-step explanation:
So we do the fancy inverse thing:
x - 4 + 4 = 12 + 4
x = 16
If a number is decreased by 19 the result is -15 What is the number?
Answer:4
Step-by-step explanation:
The Rivertown city council is attempting to choose one of four sites (A, B, C, or D) as the location for its new emergency facility. After the new emergency facility becomes available for service, the current emergency facility will be shut down. The project manager has estimated the following response times in minutes from each of the proposed sites to the four areas that must be served by the emergency facility.
proposed-site Area-Served
1 2 3 4
A 5.2 4.4 3.6 6.5
B 6.0 7.4 3.4 4.0
C 5.8 5.9 5.9 5.8
D 4.3 4.8 6.5 5.1
The number of emergency runs from the current emergency facility to each of the four areas over the past year is as follows:
Area 1 2 3 4
Number-runs 150 65 175 92
Compute the weighted mean response time from the proposed locations and determine which proposed site should be selected for the new emergency facility.
a. site A
b. site B
c. site C
d. site D
Answer:
SITE A
Step-by-step explanation:
Given :
proposed-site Area-Served
1 2 3 4
A 5.2 4.4 3.6 6.5
B 6.0 7.4 3.4 4.0
C 5.8 5.9 5.9 5.8
D 4.3 4.8 6.5 5.1
Area 1 2 3 4
Number-runs 150 65 175 92
Computing the weighted average for the 4 sites :
Site A:
((150*5.2) + (65*4.4) + (175*3.6) + (92*6.5)) / (150 + 65 + 175 + 92)
= 2294 / 482
= 4.7593
Site B:
((150*6.0) + (65*7.4) + (175*3.4) + (92*4.0)) / (150 + 65 + 175 + 92)
= 2344/ 482
= 4.863
Site C:
((150*5.8) + (65*5.9) + (175*5.9) + (92*5.8)) / (150 + 65 + 175 + 92)
= 2819.6/ 482
= 5.850
Site D:
((150*4.3) + (65*4.8) + (175*6.5) + (92*5.1)) / (150 + 65 + 175 + 92)
= 2563.7/ 482
= 5.319
From the weighted average response time computed for the different sites ;
The best location for the emergency facility would be one with the least average response time; which is SITE A.
To visit her grandmother, Melek takes a motorcycle 3.8, kilometers and a horse 3.32, point, 32 kilometers. In total, the journey takes 50.54 minutes
How many kilometers is Melek's journey in total?
Malik to visit her grandmother takes a motorcycle 3.8 kilometres at a horse 3.3 2.3 32 kilometres in total journey takes 50.5 4 minutes total kilometres which mlx journey is 7.725 kilometres
Answer:
The answer is 7.17 on khan
Step-by-step explanation:
Btw the first answer is wrong
PLEASE HELP ME IM BEGGING I also need the work shown
Answer:
Step-by-step explanation:
POINTS PLZ HELP!
What is the complete factorization of 8x2 − 8x + 2?
A.
2(4x − 1)2
B.
8(x − 1)(x + 1)
C.
2(2x − 1)2
D.
2(x − 2)(x + 2)
Answer:
Step-by-step explanation:
[tex]step^ 1=>2(4x^{2} -4x+1)\\step^2=> 2(2x-1)^2[/tex]
how many feet are there in 23 yards? answer without units.
Answer:
69 :)
Step-by-step explanation:
Answer: 69 feet
Step-by-step explanation:
1 yard= 3 feet
Given
There are 23 yards
Calculate
23 yards × 3 feet/yard= 69 feet
Hope this helps!! :)
Please let me know if you have any questions
Obtain an estimate for the following computation by rounding the numbers so that the resulting arithmetic can easily be performed by hand or in your head. Then, use a calculator to
perform the computation How reasonable is your estimate when compared to the actual answer?
2815-15.458
An estimate of the difference is (Type a whole number
Answer:
Step-by-step explanation:
2915 can stay as it is; 15.458 should be rounded down to 15. Then we have
2915-15, or 2900 (which is a very reasonable estimate).
Which expressions are polynomials? Select the two correct answers. (2 points)
ox-3+ ſo
3- +1
0-428
24 + 2y2 + 2 – w?
Answer:
Third and fourth
Step-by-step explanation:
Exponents can't be negative.
put these fractions in ascending order 1/2 3/5 and 3/4
What is the ratio of a:b, knowing that a-b/a+b = 3/5.
Answer:
4:1
Step-by-step explanation:
[tex]\frac{a-b}{a+b}[/tex] = [tex]\frac{3}{5}[/tex]
4-1 = 3
4+1 = 5
The temperature in Jukkasjarvi, Sweden, was -3 degrees at 3 P.M. After 6 hours, the temperature dropped to -15 degrees. The temperature dropped the same amount each hour. What was the change in temperature each hour?