Answer:
15.945°
Step-by-step explanation:
tan A = opp/adj
You are correct to use the tangent function.
You are also correct in writing
tan (B) = 2/7
You are not finding the tangent of a degree angle measure.
You are doing the opposite. You know what the tangent of an angle equals, and you need to find out the angle measure.
For that, you need to do the inverse tangent.
If you have a calculator, divide 2 by 7.
Then press the second function key followed by the tangent key.
The tangent key has "tan".
The second function on the tangent key is the inverse tangent, and its symbol is [tex] \tan^{-1} [/tex].
In this case, the exponent -1 is not really an exponent. It really is function notation for the inverse function.
[tex] \tan^{-1} \dfrac{2}{7} = 15.945^\circ [/tex]
What is the total number of different 13-letter arrangements that can be formed using the letters in the word ENLIGHTENMENT?
Answer:
86486400
Step-by-step explanation:
(Multiple choice question) As a town geta mater, the population of its high school decreases by 123. each year. The student body has 125 students now. In how many years will have about 75 students? Use the
equation 75 - 125/088)" to solve the problem Round to the nearest year
2 years
4 years
1 year
3 years
Answer:
4 years !
Step-by-step explanation:
What is the area of the triangle in the coordinate plane?
36 units²
38 units²
66 units²
72 units²
Answer:
36 units
Step-by-step explanation:
area of right angle triangle =1/2* b*h.
by counting the square,b=8 units and h=9 units
therefore,area 1/2* 8units * 9units
1/2*72units^2
36units^3
[I REALLY DON'T KNOW I NEED HELP PLEASE] Fill in the blank with the word dependent or independent. 1. The equation y = 6-x defines y as a function of x. The variable x is the variable, because you can choose any value for it. The variable, because it depends on variable y is called the x. Once you have chosen a value for x, the value of y is determined.
It is dependent. Without the function of the variable (X), we wouldn’t understand the value of Y.
Find the volume.
A rectangular prism with length 7 yards, width 6 yards, and height 3 yards.
a.
126 cu. yd
b.
252 cu. yd
c.
147 cu. yd
d.
54 cu. yd
The volume of the rectangular prism with length 7 yards, width 6 yards, and height 3 yards is 126 cubic yards
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
Given that rectangular prism with length 7 yards, width 6 yards, and height 3 yards.
We have to find the volume of the prism
Volume = length×width ×height
Plug in the values of length , width and height
Volume = 7×6×3
=126 cubic yards
Hence, the volume of the rectangular prism with length 7 yards, width 6 yards, and height 3 yards is 126 cubic yards
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Answer:
A. 126
Step-by-step explanation:
Correct on edge!
HELP ASAP PLEASE !!
What is sum n = 1 to 4 5 ^ n equal to?
Answer: 50
Step-by-step explanation: hello the answer is 50
what is the slope-intercept equation of the line below?
Answer:
Step-by-step explanation:
(-1, 1) (1, -3)
(-3 - 1)/(1 + 1)= -4/2 = -2
y - 1 = -2(x + 1)
y - 1 = -2x - 2
y = -2x - 1
answer is A
y= 3x-2 find y when x=-5
[tex]y = 3x-2\\\\~~~=3(-5) -2\\\\~~~= -15-2\\\\~~~= -17[/tex]
Answer:
y = -17
Step-by-step explanation:
Given values :
⇒ x = -5
Let's substitute in the expression to find y :
⇒ y = 3(-5) - 2
⇒ y = -15 - 2
⇒ y = -17
Can someone pls help me ! 20 points
Yes,1/2 of an answer is zero answer.
How does the graph of g(x) = (x − 2)^3 + 6 compare to the parent function of f(x) = x^3?
g(x) is shifted 2 units to the right and 6 units down.
g(x) is shifted 2 units to the right and 6 units up.
g(x) is shifted 2 units to the left and 6 units down.
g(x) is shifted 6 units to the left and 2 units down.
The transformation from the parent function f(x) to g(x) is (b) g(x) is shifted 2 units to the right and 6 units up
How to compare the graphs?The equations are given as:
f(x) = x^3
g(x) = (x - 2)^3 + 6
The transformation from f(x) to g(x) can be represented as:
x -> x -2
f(x) -> f(x) + 6
This means that the function f(x) is shifted right by 2 units and shifted up by 6 units.
Hence, the transformation from the parent function f(x) to g(x) is (b) g(x) is shifted 2 units to the right and 6 units up
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What is the mode of this data set?
{7, 10, 12, 9, 12, 4, 13, 14}
7
10
11
12
Answer:
12
Step-by-step explanation:
the mode is the number you see the most
Answer:
12
Step-by-step explanation:
Mode is the number that is most repeated it can be more than one number but in your question it's only 1 number that's 12 and it has been repeated 2 times as shown
Help me with the 2 problems
9.
no
he has to put -484 to the left of the equal sign too
z + 484 -484 = 964 - 484
z = 480
10.
a.
310,000 + x = 465,000
x = 465,000 - 310,000
x = 155,000
b.
310,000x = 930,000
x = 930,000 ÷ 310,000
x = 3
a) How many 2-digit numbers have the digit 7 exactly once?
Answer:
17, 27, 37, 47, 57, 67, 87, 97.
8
Step-by-step explanation:
all are 2 digit numbers with exactly one 7 in each.
Answer:
8
Step-by-step explanation:
the two digit numbers that has 7 exactly once are 17, 27, 37, 47, 57, 67, , 87, 97from above, there are 8 two digitsHelp find the probability
Answer:
18. 0.25
19. 0.33
Step-by-step explanation:
Problem 18
Number of oranges = 2Number of fruits = 2 + 6 = 8P (orange) = 2/8 = 1/4P (orange) = 0.25Problem 19
Number of 1 or 6 faces = 2Total faces = 6P (1 or 6) = 2/6 = 1/3P (1 or 6) = 0.33 (2 DP)what is four minus three
Answer:
1
Step-by-step explanation:
4-3 = 1
Answer:
1
Step-by-step explanation:
4-3=1
If you had 4 lollipops and you gave your friend 3 lollipops, how many would you have? 4-3=1 You could try it out at home.
In Calc, a mathematical equation is called a
A. Calculation
B. Symbol
C. Formula
D. Cell name
C. Formula
Explanation:
In Calc, a mathematical equation is called a Formula.
I Find the missing measurement:
40 mi/1 min = ? mi/1 hr
Answer:
2400mi/1 hr is the
answer
Answer:
2400 miles / per hour
Step-by-step explanation:
40 mi X
______ _______________
1 minute = 1 hr ( 60 minutes)
multiply 1 minute on bottom by 60 to get 60 minutes
so multiply the top by 60 (always do same to top and bottom)
40 mi. x 60 = 2400 miles
Calculus, A) find the slope of the line
B) interpret the slope
Answer:
- [tex]\frac{3}{5}[/tex]
Step-by-step explanation:
Slope of the line indicate how fast ( or slow ) the line is going up or down
The area of the rubber coating for a flat roof was 96 ft². The rectangular frame the carpenter built for the
flat roof has dimensions such that the length is 4 ft longer than the width. What are the dimensions?
Answer:
Length = 12 ft.
Width = 8 ft.
Step-by-step explanation:
Given :
Area = 96 ft²Length = Width + 4 ft.Let :
Length = (x + 4) ft.Width = x ft.Solving :
The formula for calculating area is : Area = Length x Width96 = (x + 4)(x)x² + 4x - 96 = 0x² + 12x - 8x - 96 = 0x(x + 12) - 8(x + 12) = 0(x - 8)(x + 12) = 0x - 8 = 0 ⇒ x = 8The dimensions are :
Length = 12 ft.
Width = 8 ft.
There are 250 tracksuits in a box. The sport sold 1/5 of the tracksuits on monday, 1/10 on tuesday, 2/5 on wednesday and the rest on thursday. how many tracksuits were sold on thursday?
Answer:
145
Step-by-step explanation:
you add the trucksiuts sold on monday Tuesday Wednesday and subtrct the from the total tracksuits .
The power, P (watts), of a car engine is proportional to the square of its
speed, s(m/s). When s=25, P=1800. Work out the speed (to 1 DP) when the power is 2000 watts.
The speed when the power is 2000watts is 22.5m/s
Subject of formulaIf the power, P (watts), of a car engine is proportional to the square of its
speed, s(m/s), this is expressed as:
P = k/s
When s=25, P=1800 then;
1800 = k/25
k = 25 * 1800
k = 4500
In order to calculate the speed when the power is 2000;
s = k/p
s= 4500/2000
s = 22.5m/s
Hence the speed when the power is 2000watts is 22.5 m/s
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Yo fam for me
45 = 3(x + 1)
Answer:
x = 14
Step-by-step explanation:
Solving equation3(x + 1) = 45
3*x + 3*1 = 45 {Distributive property used: a*(b+c) =(a*b) +(a*c)}
3x + 3 = 45
Subtract 3 from both sides
3x = 45 - 3
3x = 42
Divide both sides by 3
x = 42/3
[tex]\sf \boxed{\bf x = 14}[/tex]
A blight is spreading in a banana plantation. Currently, 458 banana plants are infected. If the
disease is spreading at a rate of 8% each year, how many plants will be infected in 8 years?
If necessary, round your answer to the nearest whole number,
banana plants
The number of infected banana plants with a rate of 8% will be in 8 years is 848.
What is exponential growth or decay function?Consider the function:
y = a(1 + r)ˣ
where x is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.
A blight is spreading on a banana plantation. Currently, 458 banana plants are infected.
If the disease is spreading at a rate of 8% each year.
Then the number of the plants that will be infected in 8 years.
Then the exponential function is given as
y = 458(1.08)ˣ
At x = 8, then we have
y = 458(1.08)⁸
y = 458 x 1.851
y = 847.73
y ≅ 848
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i need help with 8th grade math please hurry and correct answer please 40 points
Answer:
2664.3
Step-by-step explanation:
The volume of a sphere is
V = 4/3 πr³
Multiply the radius (which is the diameter divided by 2), 8.6 by itself 3 times, and them multiply it by pi and 4/3 to achieve a volume of 2664.31 or aproximatley 2664.3.
Answer:
v=59 m3 i think if it helps please mark brainliest
If I have 679 points out of 901 what grade will I get?
Answer:
you'll get a 75%
Step-by-step explanation:
all you have to do is
divide 679/901
and you get 0.75%
NO LINKS!!!! Please help me with this graph. Part 7a
Answer:
[tex]\large \boxed{ \sf y=-0.3\left|x-0\right|-7}[/tex]
Explanation:
Absolute value of a graph formula:
y = a |x -h| + kIdentify the vertex : (h, k) = (0, -7)
As the graph opens downward, take negative/fall coordinates.
Two points: (0, -7), (10, -10)
[tex]\sf Find \ slope \ (a) : \sf \ \dfrac{y_2 - y_1}{x_2- x_1} \ = \ \dfrac{-10-(-7)}{10-0} \ = -0.3[/tex]
Put them together: [tex]\bf y = -0.3|x - 0| -7 \ \ \ \approx \ \ y = -0.3|x| - 7[/tex]
Answer:
[tex]g(x)=-\dfrac{3}{10}|x|-7[/tex]
Step-by-step explanation:
Translations
For [tex]a > 0[/tex]
[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]
[tex]y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis by a factor of}\:a[/tex]
[tex]y=-f(x) \implies f(x) \: \textsf{reflected in the} \: x \textsf{-axis}[/tex]
-----------------------------------------------------------------------------------------
Parent function: [tex]f(x)=|x|[/tex]
From inspection of the graph, the transformed function has been reflected in the x-axis.
[tex]\implies -f(x)=-|x|[/tex]
The vertex of the parent function is the origin (0, 0). The vertex of the transformed function is at (0, -7). Therefore, there has been a translation of 7 units down.
[tex]\implies -f(x)-7=-|x|-7[/tex]
From inspection of the graph, we can see that it has been stretched parallel to the y-axis:
[tex]\implies -a\:f(x)-7=-a|x|-7[/tex]
The line goes through point (10, -10)
Substituting this point into the above equation to find [tex]a[/tex]:
[tex]\implies -a|10|-7=-10[/tex]
[tex]\implies -10a=-3[/tex]
[tex]\implies a=\dfrac{3}{10}[/tex]
Therefore,
[tex]\implies g(x)=-\dfrac{3}{10}|x|-7[/tex]
john decides to buy a new laptop computer. it is on sale for 20% off and he has a coupon for 15% off the sale price. if sales tax is 6%, how much will john pay
The price that John would pay for the new laptop after accounting for the sales, price coupon and the sales tax is 0.72p.
What is the price John would pay?After the sales price and coupon is applied, the price of the laptop would reduce.
Price after the sales price = (1 - 0.2) x p = 0.8p
Price after the coupon = (1 - 0.15) x 0.8p
0.85 x 0.8p = 0.68p
A tax increases the price of the laptop.
Price after the tax = (1 + 0.06) x 0.68p = 1.06 x 0.68p = 0.72p
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If point A is reflected across both axes, what are the coordinates of the reflected point?
(6, 3)
(-6, 3)
(-6, -3)
(6, -3)
Answer:
When you are reflecting a point, you are reversing its' axes. In this case, the reflection of (-6,-3) is (6,3).
Step-by-step explanation:
PLEASE MARK BRAINLESS
Please solve with explanation (high points)
Answer:
8.1. h = 17.743514416718 m 8.2. Area of ABCD = 112.912444233369 cm²Step-by-step explanation:
Q8.
Let h be the height of the flagpole
x be the distance between point P and the flagpole.
8.1.
tan(53) = h/x
⇒ h = xtan(53) (1)
On the other hand ,
tan(28) = h/(x+20)
⇒ h = (x+20)tan(28) (2)
Let’s equate equation so (1) and (2) :
⇒ xtan(53) = (x+20)tan(28)
⇒ x = 20tan(28) ÷ (tan(53) - tan(28)) = 13.370697151775
from (1) , we have :
h = xtan(53)
= 13.370697151775×tan(53)
= 17.743514416718
8.2.
Area ABCD = area ABD + area BCD
area ABD = (1/2) AB AD sin(BAD)
= (1÷2)×11×7×sin(110)
=36.178165900258
area BCD = (1/2) DB DC sin(BDC)
firsly , we need to calculate DB (using the law of cosines I need triangle ABD) :
DB² = AB² + AD² - 2AB AD cos(110)
= 11^2+7^2-2×11×7×cos(110)
= 222.671102072153
Then
DB = √(222,671102072153)
= 14.92216814247
Going back ,
area BCD = (1/2) DB DC sin(BDC)
= (1÷2)× (14,92216814247)×16×sin(40)
=76.734278333111
Conclusion :
Area ABCD = area ABD + area BCD
= 36.178165900258+ 76.734278333111
= 112.912444233369
Need urgent help! Right answer
Answer:
2,772 m^2
Step-by-step explanation:
First you would need to convert the cm to m before multiplying L times W in order to get the area. 28 x 3 is 84 and 11 x 3 is 33. Then you would multiply 84 x 33 in order to get 2,772.