Answers
Answer:
[tex] \displaystyle AC = 2.18[/tex]
Step-by-step explanation:
we are given a right angle triangle where:
BC=6AC=?θ=70°since BC is the opposite side and AC is is the adjacent side of the triangle therefore we can consider using tan function given by
[tex] \displaystyle \tan( \theta) = \frac{opp}{adj} [/tex]
substitute:
[tex] \displaystyle \tan( {70}^{ \circ} ) = \frac{6}{AC} [/tex]
cross multiplication:
[tex] \displaystyle AC \tan( {70}^{ \circ} ) = 6[/tex]
b
divide both sides by tan(70°):
[tex] \displaystyle AC = \frac{6}{ \tan( {70}^{ \circ} ) }[/tex]
by using calculator we obtain:
[tex] \displaystyle AC = 2.18[/tex]
and we are done!
Related Questions
A gumball machine has various colors of gumballs. There is a 10% chance that the next
gumball from the machine is red and 0.8 chance it is orange.
Is the next gumball more likely to be red or orange? Explain your reasoning.
Answers
Answer:
It is red
Step-by-step explanation:
NEED HELP DUE IN 2 MINUTES!!!!
A food company is designing boxes for several products. Each box is a rectangular prism.The company also wants to offer a family size box of cereal. The family size box will be a dilation of the single serving 1.2-ounce box. It must contain 18.75 ounces of cereal. What scale factor does the company need to use for the family size box?
Answers
Answer:
the ratio of white tiles to blue tiles is 48
Step-by-step explanation:
The scale factor does the company need to use for the family size box is 1.56.
What is a scale factor?A scale factor is the number by which all the components of an object are multiplied in order to create a proportional enlargement or reduction.
According to the question
A food company is designing boxes for several products. Each box is a rectangular prism.
The family size box will be a dilation of the single serving 1.2-ounce box.
It must contain 18.75 ounces of cereal.
For finding scale factor divide 18.75 by 12
= [tex]\frac{18.75}{12}[/tex]
= 1.56
Hence, the scale factor does the company need to use for the family size box is 1.56.
Learn more about scale factor here
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Cube roots of 1 are +1 and -1 (true and false)
Answers
False cube root of 1 is plus 1 only.
mark wants to fence 4 rectangular gardens with a length of 9 1/4 amd a width of 4 1/2 what is the total length of fenceing mark needs to surround all four gardens
Answers
Step-by-step explanation:
length of each rectangle= 9 1/14=127/14
breadth of each rectangle=5=4 1/2= 9/2
so perimeter of 1 rectangle= 2(l+r)
=2(127/14+ 9/2)
=2(127+63)/14
=2×190/14
=190/7
=27.14 feet
so total length of fencing= 4×27.14
=108.57 feet
hope you understand the solution and good luck!!
i need the answer to
7(p + 1) = 2(3p + 1)
Answers
Answer:
p = -5
Step-by-step explanation:
7(p + 1) = 2(3p + 1)
Distribute on both sides.
7p + 7 = 6p + 2
Subtract 6p from both sides.
p + 7 = 2
Subtract 7 from both sides.
p = -5
Answer:
p = -5
Step-by-step explanation:
7(p + 1) = 2(3p + 1)
Distribute
7p +7 = 6p +2
Subtract 6p from each side
7p +7 -6p = 6p+2-6p
p+7 = 2
Subtract 7 from each side p+7-7 =2-7
p=-5
the radius of a cylindrical construction pipe is 2 ft. If the pipe is 26 ft long, what is its volume?
Answers
3.14x2x2x26= 326.56 ft3
Answer:
V=326.725636 or V=104[tex]\pi[/tex]
Step-by-step explanation:
V=[tex]\pi[/tex][tex]r^{2}[/tex]h
V=[tex]\pi[/tex][tex]2^{2}[/tex](26)
V=[tex]\pi[/tex]4(26)
V=326.725636
The graph of g(x) below resembles the graph of f(x)=x^2, but it has been changed. Which I'd these is the equation of g(x)?
Answers
Answer:
[tex]A) \displaystyle g(x) = 4 {x}^{2} + 2[/tex]
Step-by-step explanation:
recall that,
[tex] \displaystyle \rm Q _{ \text{standard}} :g(x) = {ax}^{2} + bx + c[/tex]
remember that,
Larger values of 'a' squash the curve inwardsSmaller values of 'a' expand it outwardsAnd negative values of 'a' flip it upside downsince the Parabola squashes inwards we assume a=4
we know that,
when c is positive the Parabola goes upwardswhen c is negative the parabola goes downwardsas the Parabola goes upwards by 2 units we assume c is 2
hence,
our best answer choice is a
In a viral pool test it is known that in a group of five (5) people, exactly one (1) will test positive. If they are tested one by one in random order for confirmation, what is the probability that only two (2) tests are needed?
Answers
Answer:
[tex]\frac{4}{20}[/tex] or 0.2 or 20%
Step-by-step explanation:
For only two tests to be needed this means that the first test would need to come back as negative and the second test would be to come back as positive. Therefore, to find the probability of this happening we first need to find the probability of each individual test and multiply them together.
The first test needs to come back negative, there are four negative individuals out of the total 5 that are in the group. Therefore, the probability of the first test is 4/5.
Now we remove the individual that has just been tested and we are left with 4 total subjects in the group, of which only 1 is positive. Therefore, the probability of the second test is 1/4. Now we need to multiply these two probabilities together to get the probability of only needing two tests.
[tex]\frac{4 * 1}{5 * 4} = \frac{4}{20}[/tex] or 0.2 or 20%
2. The more
there is in a waterproofing foundation coating, the better the performance.
O A. rubber
O B. foam
O C. asphalt
O D. fiberglass
Answers
Which function represents the area of the rectangle? 6x2 – 8x + 36 6x2 – 27x + 36 6x2 – 35x + 36 6x2 + 35x + 36
Answers
Answer:
[tex]Area = 6x^2 - 35x + 36[/tex]
Step-by-step explanation:
Given
[tex]g(x)=3x-4[/tex]
[tex]f(x)=2x-9[/tex]
Required
The area
This is calculated as:
[tex]Area = f(x) * g(x)[/tex]
[tex]Area = (3x -4) * (2x - 9)[/tex]
Open bracket
[tex]Area = 6x^2 - 27x - 8x + 36[/tex]
[tex]Area = 6x^2 - 35x + 36[/tex]
Answer:
6x2 – 35x + 36
Step-by-step explanation:
Hi plz help, if you can ill mark you 5 starz! :)
Answers
Answer:
b and 288
Step-by-step explanation:
ywwwwwwwwwwww
z=−12i+11
What are the real and imaginary parts of z ?
Answers
Answer:
it is easy simply you can answer-12 imaginary 11 is real
Which equation represents the line that passes through the points (-4, 0) and (0, 6)
Answers
Answer:
y = 1.5x + 6
Step-by-step explanation:
Given the following data;
Points on the x-axis (x1, x2) = (-4, 0)
Points on the y-axis (y1, y2) = (0, 6)
To find the equation of line;
First of all, we would determine the slope of the line.
Mathematically, slope is given by the formula;
[tex] Slope = \frac{Change \; in \; y \; axis}{Change \; in \; x \; axis} [/tex]
[tex] Slope, m = \frac {y_{2} - y_{1}}{x_{2} - x_{1}} [/tex]
Substituting into the equation, we have;
[tex] Slope, m = \frac {6 - 0}{0 - (-4)} [/tex]
[tex] Slope, m = \frac {6}{4} [/tex]
Slope, m = 1.5
To find the equation of line, we would use the following formula;
y - y1 = m(x - x1)
Substituting into the formula, we have;
y - 0 = 1.5(x - (-4))
y = 1.5x + 6
PLS ANSWER RN
Triangle XYZ is rotated 90 counterclockwise about the origin to produce AX'Y'Z'. What are the coordinates of AXYZ?
A. X'(1, 1), Y'(-3, 2), Z"(-2, 5)
B. X"(-1, -1), Y'(3,-2), Z (2, -5)
C. X"(-1, -1), Y'(-2, 3), Z'(-5, 2)
D. X(0.0), Y'(1, 4), Z'(4, 3)
Answers
Which is an equivalent scale factor of Mr. Barrow's height to the height of the power pole?
A. 162:18
B. 6:54
C. 18:162
D. 54:6
Answers
9514 1404 393
Answer:
C. 18:162
Step-by-step explanation:
Both B and C are the same scale factor, and both correctly express the ratio of the shorter height to the longer one.
The ratio of choice C is directly obtained from the figure, so is probably the best choice.
Which of the following sets of data is bimodal?
A {2,3,4,4,5,6,7,7,8}
B {2,2,3,3,4,4,5,5,6,6}
C {2,3,4,4,4,5,6,7,8}
D {2,2,3,3,4,4,5,6,7,8}
Answers
Answer:
a. po
sana po maka tulong
What is the degree of the polynomial 3x-6
Answers
Answer:
1
Step-by-step explanation:
the degree of 3x-6 is 1
What is the value of log6 49?
Round your answer to two places.
Answers
Answer: 2.17
Step-by-step explanation: To get the answer you count the first two numbers on the Decimal Form, starting behind the period.
(2.17206626)
PLZ HELP!!!!!!!!!!!!!!!!
Answers
Answer:
B) 119.1
Step-by-step explanation:
First, find your circle area
[tex]A=\pi r^{2} \\A=\pi 7^{2} \\A=153.9[/tex]
Then get the area of the square, we will worry about the tringles on each side in the last step.
l=12
w= 14 (Radius of circle times 2)
A=wl
A=14*12
A=168
Now the triangle
h=14 (Radius of circle times 2)
b=(27 - 12) / 2 = 7.5 ( total length 27 minus 12 divided, by 2 since there's 2 triangles on each side.
[tex]A=h\frac{b}{2} \\A=14\frac{7.5}{2} \\A=52.5[/tex]
Now add 2 triangles, the square and substract the circle
52.5+52.5+168 = 273
273 - 153.9 = 119.1 in^2
Tienes $20 para gastar en la tarifa del taxi. El viaje cuesta
$5 más $2.50 por kilómetro.
Escribe una desigualdad para determinar la distancia
en kilómetros, d, que podrías recorrer por $20.
¿Cuál es la distancia máxima, en kilómetros, que
puedes recorrer por $20?
kilómetros.
Answers
Answer:
6 kilometers serian15 mas 5
pls help!! person with correct answer will be marked brainliest
Answers
Hope this helps
Which of the following are roots of the polynomial function? Check all that apply. F(x) = x^3 - 5x^2-13-7
Answers
Answer:
The roots are: 1, -7 and -7
Step-by-step explanation:
When we put x = -1 in F(x) it is equal to 0
Thus, (x + 1) is factor of given function.
When we divide F(x) by (x + 1) it gives the value (x² - 6x - 7)
Now, factorizing x² - 6x - 7 by middle term splitting.
x² - 6x - 7 = x² - 7x + x - 7
⇒ x(x - 7) + 1(x - 7)
⇒ (x + 1) (x - 7)
Thus, x³ - 5x² - 13x - 7 = (x + 1)(x + 1)(x - 7)
Thus, Roots of the given polynomial function is x = -1, -1, 7
Hope this answer helps you :)
Have a great day
Mark brainliest
please Help me on this
Answers
HELP SOON!!
What is sum of the geometric series 5 sigma k-1 6(4)^4-1?
(picture attached)
Answers
Answer:
the answer is 2,046...
∑ of 6(4)ⁿ⁻¹ from n= 1 to 5 is 2046
What is a geometric series ?The sum of an infinite number of terms that are in constant ratios.
From the given data
∑ of 6(4)ⁿ⁻¹ from n= 1 to 5 is (here k is replaced with
n)
6(4)ⁿ⁻¹ for n=1 is
=6(4)¹⁻¹
=6(4)⁰
= 1
6(4)ⁿ⁻¹ for n=2 is
=6(4)²⁻¹
=6(4)¹
=24
6(4)ⁿ⁻¹ for n=3 is
=6(4)³⁻¹
=6(4)²
=6(16)
=96
6(4)ⁿ⁻¹ for n=4 is
=6(4)⁴⁻¹
=6(4)³
=6(64)
384
6(4)ⁿ⁻¹ for n=5 is
=6(4)⁵⁻¹
=6(4)⁴
=6(256)
=1536
∴∑ of 6(4)ⁿ⁻¹ from n= 1 to 5 is
6 + 24 + 96 + 384 + 1536
=2046
Learn more about Geometric series here :
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Please show steps on how to solve
log7 -2b-9=-6
Answers
Answer: b= - -log10(7)+3/2
Step-by-step explanation: log 10 (7) -2b-9=-6 : b= - -log10(7)+3/2 (Decimal : b = -1.07745...)
so these are the steps how I got it I did log 10 (7)-2b-9=-6 subtract log 10 (7) -9 from both sides log 10 (7)-2b-9-(log10(7)-9)=-6-(log 10 (7) -9)
Simplify -2b= -log10(7)+3
Divide both sides by -2 -2b/2= - log 10(7)/-2+ 3/-2 if you simplify it should give you b= - -log10(7)+3/2 that should be your answer but i'm not sure those I think that's how you do it let me know if you got it right bye!
Can someone help me step by step with this probelm please thanks a lot
Answers
2. A word that has the same value as boat.
Well, BOAT (2,6,2,8) adds up to 18. A word with the same value could be CARS (2,27,7)
3. A 4 letter word I can think of is HELP (4,3,5,7) and the value is 19
-The other part where it says “my word has a value of 20- guess the word” it could be KITE (5,4,8,3)
please help will give brainliest
Answers
Answer:
B
Step-by-step explanation:
5(k+2)-3(k+2) combine to make simpiler
Answers
Answer:
2k + 4
Step-by-step explanation:
David,
Start by performing the indicated multiplication:
5(k+2)-3(k+2) becomes 5k + 10 - 3k - 6.
Next, combine like terms: 5k - 3k + 10 - 6 becomes 2k + 4
This 2k + 4 is the desired simpler result.
CAN SOMEONE PLSSS HELP ME! IT’S DUE TODAY. I NEED THE SURFACE AREA AND VOLUME...
Answers
Answer:
one of the triangles is 7.5, if you need both areas then it is 15cm2
Step-by-step explanation:
multiple 3x5=15, this will make it for a square. To create the triangle, you just divide it by two, because two triangel make a square.
Simplify: 3-2
A. -9
B. -6
C.1/9
D.1/6
Answers
Answer:
1/9
Step-by-step explanation:
3 ^ -2
The negative in the exponent means to bring it to the denominator
1/ 3^2
1/9
Answer:
C. 1/9
Step-by-step explanation: