Answer:
[tex]\boxed {\boxed {\sf x\approx 63.7}}[/tex]
Step-by-step explanation:
This is a right triangle. We know this because there is a small square in the corner representing a 90 degree/right angle. Therefore, we can use the right triangle trigonometry ratios.
sinθ= opposite/hypotensue cosθ= adjacent/hypotenuse tanθ= opposite/adjacentWe are given angle A which measures 37 degrees.
Side BC which measures 48 is opposite angle A and the unknown side, x, is next to or adjacent to angle A.
We should use tangent.
[tex]tan \theta= \frac{opposite}{adjacent}}[/tex]
[tex]tan37= \frac {48}{x}[/tex]
Since we are solving for x, we must isolate the variable. First, cross multiply. Multiply the first numerator and the second denominator, then the first denominator and second numerator.
[tex]\frac {tan37}{1}=\frac {48}{x}[/tex]
[tex]tan37*x=48*1[/tex]
[tex]tan37*x= 48[/tex]
x is being multiplied by the tangent of 37. The inverse of multiplication is division, so we divide both sides by the tangent of 37.
[tex]\frac {tan37 *x}{tan37}=\frac{48}{tan37}[/tex]
[tex]x= \frac{48}{0.7535540501}}[/tex]
[tex]x=63.69815144[/tex]
Even though it is not specified, let's round to the nearest tenths place. The 9 in the hundredth place tells us to round the 6 up to a 7.
[tex]x\approx 63.7[/tex]
The unknown side is approximately 63.7 units long.
please help me with this
The ages of each of the basketball players on a team are given.
13, 13, 13, 14, 14, 17, 18, 18
What is the mean age of these players?
O A. 13
B. 14
C. 15
D. 18
Answer:
I'm pretty sure it's 13 sorry if I am wrong
2x - 2/2x - 3x + 2/4x
Answer: Solution
−
2
+
2
−
2
x
+
x
2
−2x+2x
Step-by-step explanation: Divide the numbers
2
−
1
⋅
2
2
⋅
−
3
+
2
4
⋅
2
x
Multiply the numbers
2
−
1
⋅
1
−
3
+
2
4
⋅
2
x
−
1
⋅
1
x
−
3
x
+
2
4
⋅
x
2x−1⋅1x−3x+42⋅x
2
−
−
3
+
2
4
⋅
−
1
⋅
2
2
⋅
x
−
3
x
+
2
4
⋅
x
2x−1⋅22⋅x−3x+42⋅x
2
−
1
⋅
1
−
3
+
2
4
⋅
2
x
−
1
⋅
1
x
−
3
x
+
2
4
⋅
x
2x−1⋅1x−3x+42⋅x
Divide the numbers
2
−
−
3
+
2
4
⋅
2
x
−
x
−
3
x
+
2
4
⋅
x
2x−x−3x+42⋅x
2
−
−
3
+
1
2
2
x
−
x
−
3
x
+
1
2
x
2x−x−3x+21x
Help please I need help fr fr
Answer:
See explanation!
Step-by-step explanation:
A = Reflection
B= Rotation
C= Translation
D= Dilation
Scientists studying a bacteria sample find that after starting with 120 cells, the number of cells doubles every hour.
Which of the following equations is a function that will predict C(h), the number of cells after h hours have passed?
Answer:
[tex]C(h)=120*2^h[/tex]
Step-by-step explanation:
[tex]C(h)=120*2^h[/tex]
Doubling needs a base of 2, and the original number will need to be multiplied by two.
I don't know how to explain so I'm going to just give an example.
After an hour the original number doubles so 120*2
After two hours: 120*2*2
After 3 hours: 120*2*2*2
2*2 can also be written as [tex]2^2[/tex]
and 2*2*2 can be written as [tex]2^3[/tex]
So the number of hours passed is the exponent, and the base is 2 because the original number is being doubled.
Kevin needs 2/3 of a yard to make a pillow. he has 3 1/3 yards of fabric. How many pillows can he make?
Answer:
He can make 5 pillows.
Step-by-step explanation:
1 pillow = 2/3 yards
? = 3 1/3 yards ( 10/3 yards)
10/3 ÷ 2/3
10/3 × 3/2= 5 pillows.
1. calculate showingbyour working
a)
[tex] {2}^{5} [/tex]
b) 5 cubed
c)
[tex]( \frac{1}{4} ) ^{2} [/tex]
d)
[tex] \sqrt{900} [/tex]
Answer:
a) [tex]32[/tex]
b) [tex]25[/tex]
[tex]c) \: \frac{1}{16} [/tex]d) [tex]30[/tex]
Step-by-step explanation:
[tex]a) \: {2}^{5} [/tex][tex](2 \times 2 \times 2 \times 2 \times 2 \times)[/tex]
[tex]32[/tex]
[tex]b) \: {5}^{3} [/tex][tex](5 \times 5 × 5)[/tex]
[tex]125[/tex]
[tex]c) \: ( \frac{1}{4} {)}^{2} [/tex][tex] \frac{ {1}^{2} }{ {4}^{2} } [/tex][tex] \frac{(1 \times 1)}{(4 \times 4)} [/tex][tex] \frac{1}{16} [/tex][tex]d) \: \sqrt{900} [/tex][tex] \sqrt{ {30}^{2} } [/tex]
[tex]30[/tex]
Hope it is helpful....I’m lost, my deadline in 7 days and I’m virtually brain dead, anyone know dis
Answer:
[tex]x=\frac{3+-\sqrt{13}}{2}[/tex]
Step-by-step explanation:
What is the initial value of the function represented by this graph? (1 point) A coordinate grid is shown with x- and y-axes labeled from 0 to 7 at increments of 1. A straight line joins the ordered pair 0, 5 with the ordered pair 7, 7. 0 4 5 7
Answer:
7
Step-by-step explanation:
got it right on the test
What is the volume (V) of the cylinder shown below ? Use 3.14 for π .
The volume (V) of the given cylinder with the height 10 mm and the diameter 14 mm is 1538.6 cubic millimeter.
From the given figure, diameter of a cylinder = 14 mm and height = 10 mm.
Here, radius = [tex]\frac{14}{2}[/tex]
= 7 mm
Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
We know that, the formula to find the volume of a cylinder is [tex]\pi r^2h[/tex].
Here, the volume of a cylinder = 3.14×7²×10
= 3.14×49×10
= 1538.6 cubic millimeter
Therefore, the volume (V) of the given cylinder with the height 10 mm and the diameter 14 mm is 1538.6 cubic millimeter.
To learn more about the volume visit:
https://brainly.com/question/13338592.
#SPJ4
!!!!NEED HELP ASAP!!!! NO LINKS OR REPORT
Answer:
Step-by-step explanation:
Infinitely many solutions means that one side of the equals sign is exactly the same as the other side. We can achieve that easily by multiplying through the parenthesis and then combining like terms.
2(6x + 4) - 5x is 12x + 8 - 5x which simplifies down to 7x + 8. That is what goes on the right side of your equation.
please help me !!! What's 10.8 / 6 = ? Estimate: 10.8 / 6 =
Answer:
10.8 / 6 = 1.8
Answer:
1.8
Step-by-step explanation:
10.8/6=10.8/6×10/10=108/6=1.8
What is the area of the trapezoid?
2 km
6 km
7 km
6 km
Answer:
504 km
Step-by-step explanation:
Help please
Find the area of the following colored regions?
Answer:
Area = 77.1
Step-by-step explanation:
The are of a right triangle is
[tex] \frac{1}{2} \times base \times height[/tex]
our base and height are 6 for both triangles, so we shall find the area of one of the triangles...
[tex] \frac{1}{2} \times 6 \times 6 = 18[/tex]
multiply this by 2
[tex]2 \times 18 = 36[/tex]
Now find the area of the whole circle
[tex]area = \pi {r}^{2} [/tex]
our radius is 6, therefore:
[tex]area = \pi {6}^{2} = 113.1[/tex]
Finally, subtract the area of the two triangles from the total are of the circle. The difference left over is our answer
[tex]113.1 - 36 = 77.1[/tex]
Answer:
Exact Area = 36pi - 36 square meters
Approximate Area = 77.04 square meters (when using pi = 3.14)
================================================
Explanation:
The circle has radius r = 6 meters. The area of the circle is...
A = pi*r^2
A = pi*6^2
A = 36pi
This is the exact area in terms of pi.
Because we have two right triangles, and each right triangle has the same leg length, we can effectively use the SAS theorem to prove the triangles are congruent. Therefore, both of the triangles shown have the same area. One triangle is a rotated copy of the other.
The area of one of the triangles is base*height/2 = 6*6/2 = 18 square meters. That means two of them combine to an area of 18*2 = 36 square meters.
Subtract this from the area of the circle to get the green shaded area
green area = (circle area) - (triangle areas)
green area = (36pi) - (36)
green area = 36pi - 36
This is the exact area in terms of pi. If you want the approximate area, then replace pi with its approximate value. Let's say we go for pi = 3.14
That means,
green area = 36pi - 36
green area = 36*3.14 - 36
green area = 77.04 square meters approximately
Use more decimal digits in pi to get a more accurate area value.
hey what's the answer
[tex] \sqrt{66 - 4 + 2} [/tex]
(^∇^)ノ♪
Answer:
[tex]8[/tex]
Step-by-step explanation:
[tex] \sqrt{66 - 4 + 2} \\ = > \sqrt{62 + 2 } \\ = > \sqrt{64} \\ = > 8[/tex]
Answer:
[tex] \sqrt{66 - 4 + 2} [/tex]
[tex] \sqrt{64} [/tex]
[tex] \sqrt{8²} [/tex]=±8 is a required answer
Roy is in a hot air balloon that has just taken off and is floating above its launching point.
Dirk is standing on the ground, 7 meters away from the launching point. If Roy and Dirk are
10 meters apart, how high up is Roy? If necessary, round to the nearest tenth.
_____ meters
Please and thank you!
No links!!!!
Answer:
7.1 meters
Step-by-step explanation:
Use the pythagorean theory:
10 would be the hypotenuse
7 would be one of the legs
and x (or whatever variable you'd like) would be the other leg.
7^2+x^2=10^2
49+x^2=100
subtract 49 from both sides
x^2=51
take the square root on both sides
x is approximately 7.1
how do I solve this please help!
Answer:
9 x + 8 y = 10 (I)
y = -4x + 7 (II)
One way is to rewrite the second as
4x + y = 7
Now multiply this equation by 8
32 x + 8 y = 56
9 x + 8 y = 10 and now subtract the equations
23 x = 46 this gives x as 2
From equation (II) y = -4 (2) + 7 = -1
So our values are (2, -1)
Check:
(I) 9 x + 8 y = 10 9 * 2 - 8 = 10
(II) 4 x + y = 7 or 4 * 2 - 1 = 7
Or you can substitute equation (II) directly into equation (I)
Helppppppppp meeeeeeeeee
write a rational function that has a vertical asymptote of x=5 and a horizontal asymptote of y=0
Answer:
[tex]y = \frac{1}{x - 5} [/tex]
Piecework-defined function help??
Answer:
10
-1
1
2
Step-by-step explanation:
f(3) this one we use the second question (because the value that x is equal to is between 0 and 4)
3²+1=10
f(6) = -1 because this value is greater than 4
because the second equation has 0 inclusive we use this one for f(0)
0²+1=1
F(-3) for this one the answer is just two because x is less than 0
Find the Average Rate of Change between the values of [0, 1]
Answer:
The average rate of change cover the given interval is -6
Step-by-step explanation:
The average rate of change of a function over a range can be calculated by;
f(b) - f(a)/b-a
f(b) and f(a) refers to the respective y values of the x values a and b
Since we have a and b, we can get f(a) and f(b) from the plot
From the graph, since a = 0, f(a) is the y-intercept = 6
b = 1
f(b) = 0
So we have the slope as
= (0-6)/(1-0) = -6/1 = -6
which fraction is the smallest value
13/10
6/5
5/4
29/25
Answer:
29/25 because it's 1.16, which is smaller than 1.3 (13/10), 1.2 (6/5), and 1.25 (5/4)
Step-by-step explanation:
13/10 is 1.3
6/5 is 1.2
5/4 is 1.25
29/25 is 1.16
Which alternative is the reciprocal of -1/4?*
A. - 4
B.-1/4
C. 1/4
D. 4
Answer:
b is the correct answer ok
167 students are taking the SAT in my high school this morning,
and every student brought something to write with. 152
students brought a pencil and 84 students brought a pen. How
many students brought both pencil and pen?
Answer:
69
Step-by-step explanation:
167-152=15
This is the number of people that only brought pens
167-84=83
This is the number of people that only brought pencils.
167-15-83=69
This is the number of people that brought both pencils and pens.
There are 10 10 balls total of which 2 2 balls are purple. Leslie picks a ball at random, puts it back and picks a second ball at random. Find the probability of first picking a purple ball and then again a purple ball on the second draw.
Answer: 1/25
Step-by-step explanation:
Number of balls = 10
Number of purple balls = 2
Since it's probability with replacement,
Probability of picking a purple ball the first time = 2/10 = 1/5
Probability of picking a purple ball the second time = 2/10 = 1/5
Therefore, the probability of picking a purple ball both times will be:
= 1/5 × 1/5
= 1/25
find the area the triangle 18m high 5mm base
Answer:
18 *0.5*5=45
Step-by-step explanation:
Area of triangle is: 0.5 * base * height
Look at the table and find the probability that a randomly chosen student is a light girl.
Answer:
18/80 = 9/40
Step-by-step explanation:
What values of b satisfy 3(2b + 3)2 = 36?
These 3 please! Thank you!
Answer:
1. 102 ft^2 2. 33 ft^2 3. 112 ft ^2
Step-by-step explanation:
you have to find the area of each section of each shape, then add
Answer:
1.233 2.92.35 4.28474
Step-by-step explanation:
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Please I need help!!!!
Answer:
y=1/4x-1
Step-by-step explanation:
So lets start off by going over what slope intecerp form is.
Slope intercept form looks like this:
y=mx+b
Lets go over the different values in this formula:
y is always going to just be what mx+b equals, and you can plug in values for x to solve for it.
m is always teh slope. The slope is y/x, basically just the change in y over the change in x.
x is going to be the number you plug in a value for to solve for y.When writing slope intercept form, this will always just be x.
Lastly we have b. This is what y equals when x is 0.
Lets use this to make our slope intercept.
So we have:
y=mx+b
y and x are not going to have a written value, so we only need to determine m and b.
So lets find b.
B will be the slope. When we look at the points on the graph, we see (-4, -2) and (0, -1)
The difference in y is -1.(-2--1=-1). The difference in the x is -4.(-4-0=-4).
So b will be: -1/-4, or just 1/4:
y=1/4x+b
Now lets find b.
Lets specificly lookat what y equals when x is 0 on the graph.
We can see the point is (0, -1)
So the y intercept is -1. This means b is equal to -1:
y=1/4x-1
This is your slope intercept!
Hope this helps! :D
Sorry for bad grammar, I am writting on a strange keyboard.