Answers
Answer:
X = 7.8
Step-by-step explanation:
First I will mark all the Information given to us:
Angle 1: 52 Degrees
Angle 2: 90 (Marked by the box) Degrees
Angle 3: 180-(90+52) Triangle Angle Sum Therom
Simplified Angle 3: 38 Degrees
Height: 10
Base: X
Hypo: ? (we will call this y)
In order to solve this problem we must use basic trig functions such as sin, cos and tan.
I will be applying sin for the degree measure of 52 as it is applicable there.
(Sin for refrence sin(angle measure)= side opposite to angle/hypo)
So this would be in our case:
Sin(52)=10/y
Simplify
y sin(52) = 10
y = 10/sin(52) (use a calculator make sure sin is in degrees not radians)
y=10/0.78801
y=12.69018 (We have our hypo value)
We can now apply a²+b²=c²
a²+10²=12.69018²
a²+100=161.040668432 (Calculator)
a²=61.040668432
a=√61.040668432 (calculator)
a=7.81285277168
Rounded to the nearest tenth
7.8 =a=x (X is the a value in this equation)
Related Questions
A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6.
Which statements are always true regarding the diagram? Select three options.
m∠5 + m∠3 = m∠4
m∠3 + m∠4 + m∠5 = 180°
m∠5 + m∠6 =180°
m∠2 + m∠3 = m∠6
m∠2 + m∠3 + m∠5 = 180°
Answers
Answer: Options 3, 4, 5
Step-by-step explanation:
HELP!!
Who had the highest mean score? Justify your answer using mathematical reasoning.
Answers
Answer:
Katie had the highest mean score.
Step-by-step explanation:
Katie had the highest mean score because her mean score was 81.4, and Annie's highest mean score was 72.4.
Answer: Katie
Step-by-step explanation: In six of out 7 times Katie had higher marks.
Annie mean is 72.42
Katie's mean is 81.42
The mean of a set of data is 12367. The mean of absolute deviation is 350. Select the numbers below that are within the mean absolute deviation. A. 12,116 B.12,001, C. 12,990, D. 12,705, E. 12720.
Answers
The numbers given below that fall within the mean absolute deviation of the data are: C. 12,990, D. 12,705, E. 12720.
What is the Mean Absolute Deviation?The mean absolute deviation is simply the average of the distance of each of the data points there are in a data distribution.
The difference of each data point from the mean is most likely within the same range with the mean absolute vallue.
If we subtract 12,990, 12,705, and 12720 from the mean of the data, 12,367, we would get a figure close to the mean absolute deviation, 350.
So the numbers that are within the mean absolute deviation are, C. 12,990, D. 12,705, E. 12720.
Learn more about mean absolute deviation on:
https://brainly.com/question/17381861
What is the solution to the system of equations shown below?
6x – 3y = -9
3(2x - y) = 9
А
(-1, 1)
B
(1, -1)
с
no solution
D
infinitely many solutions
Answers
I attached a photo right here
If k(x) = 5x - 6, which expression is equivalent to (k + k)(4)?
Answers
Answer:
Answer:
Expression equivalent to (k + k)(4) is 28.
Step-by-step explanation:
Given:
k(x) = 5x - 6
We need to find an expression equivalent to (k + k)(4)
First, we find,
(k + k)(x) = k(x) + k(x)
= ( 5x - 6 ) + ( 5x - 6 )
= 5x - 6 + 5x - 6
= 5x + 5x - 6 - 6
= 10x - 12
Now, (k + k)(4) = 10(4) - 12 = 40 - 12 = 28
Therefore, the Expression equivalent to (k + k)(4) is 28.
An angle measures 40.8° more than the measure of its complementary angle. What is the measure of each angle?
Answers
Answer:
the measures of an angle would be 49.2 degrees
Step-by-step explanation:
hope this helps
so so so sorry if this answer is wrong
pls mark brainliest
Find the measure of x.
Hint: Use the Pythagorean Theorem. If the diameter is 32, then the radius is half of it.
Answers
Answer:
18.36 to nearest hundredth.
Step-by-step explanation:
base of the triangle = 1/3 * 32 = 16.
x^2 = 9^2 + 16^2
x^2 = 81 + 256 = 337
x = √337 = 18.36.
I NEED HELP!
[tex]-38x+43=-40x-57[/tex]
Answers
[tex]x = - 50[/tex]
-38×+43=-40×-57
-38×+43+40=-57
-38×+40×=-57-43
2×=-57+43
2×=-100
×=-50
I do not know if it's right
Given equation,
[tex] \\ \dashrightarrow \sf \qquad-38x+43=-40x-57 \\ \\ [/tex]
Adding 40x to both sides :
[tex] \\ { \dashrightarrow \sf \qquad-38x+43 + 40x=-40x-57 + 40x} \\ \\ [/tex]
[tex] { \dashrightarrow \sf \qquad2x+43=-57} \\ \\ [/tex]
Adding (-43) to both sides we get :
[tex] \\ { \dashrightarrow \sf \qquad2x+43 + ( - 43)=-57 + (- 43)} \\ \\ [/tex]
[tex] { \dashrightarrow \sf \qquad2x= - 100} \\ \\ [/tex]
Dividing 2 from both sides :
[tex] \\ { \dashrightarrow \sf \qquad \frac{2x}{2} = - \frac{100}{2} } \\ \\ [/tex]
[tex] { \dashrightarrow \tt \qquad \: x=-50} \\ \\ [/tex]
Please help I give brainiest
Answers
Answer:
x = 23 y =67
Step-by-step explanation:
Since a rectangle is made up of 4 right angles you can solve y with the following equation:[tex]23 + y =90[/tex]
Then to solve for x, since x, y and the right angle makes up a triangle and a triangle has 180 degrees. You can use the following equation to solve for x:
[tex]x + 67 + 90 = 180[/tex]
Can someone help me?
Just #1 please
Answers
Answer:
x=15
Step-by-step explanation:
A line is 180 degrees
We know that 8x+19=139
8x+19=139
subtract 19 from both sides to isolate x
8x=120
divide both sides by 8
8x/8=120/8
x=15
which equation represents the line through (0, 0) and (2,5)
Answers
Answer:
[tex]y=\frac{5}{2}x[/tex]
Step-by-step explanation:
First of all, we need to find the gradientWe can do this with [tex]\frac{\triangle y}{\triangle x}[/tex] ([tex]\frac{change\ in\ y}{change\ in\ x}[/tex])[tex]\frac{5-0}{2-0}[/tex][tex]\frac{5}{2}[/tex][tex]y=\frac{5}{2}x+c[/tex]Choose one of the coordinates to find cI choose (2, 5)[tex]5=\frac{5}{2}\times 2 + c[/tex][tex]5=5+c[/tex][tex]c=0[/tex]The equation is [tex]y=\frac{5}{2}x[/tex]If you don’t know pease be mature and don’t answer I really need the answers
What is the equation of the line that has a slope of 2 and goes through the point (4, -1)
y = 2x - 9
y = 2x - 5
y = 2x - 1
y = 2x + 9
Write the equation of the graph.
y−3=12(x+1)
y+3=−12(x−1)
y=12x+5
y−3=−12(x+1)
What is the slope of a line whose equation is 3x−4y=8
?
−43
−34
34
43
What is the equation below in slope-intercept form?
15x−3y=−12
y = -4x + 8
y = -15x -12
x = 3y - 12
x - y = 6
Answers
Answer:
1. Given the slope is 2, the equation now looks like y = 2x +b Given P (−1,4) we can solve for the b variable by substituting the x and y cordinates. 4 = 2 ⋅ (− 1) + b 4 = − 2 + b b = 6 Therefore the equation that has the slope of 2 and passes through the point (− 1,4) is y = 2x + 9 so it is d
2. i you can do that.
3. The equation for the slope of a line and the points also called point slope form of equation of a straight line is given by: y − y1 = m (x − x1) Whereas the slope-intercept form the equation of the line is given by: y = mx + b. Where b is the y-intercept.
4.In the formula,y = the y-coordinate of any point on the line,m = slope,x = the x-coordinate of any point on the line,and b = ...
Plug the slope and y-intercept into the formula. Remember,the slope is equal to the rise over the run.
You need to know these
Find the angle of cd round to the nearest tenth
Answers
14.1
Step-by-step explanation:
A golf ball is hit so that it travels a horizontal distance of 400 feet and reaches a
maximum height of 190 feet.
Determine a quadratic equation that models the path of the golf ball, assuming it starts at the origin.
Answers
Considering the vertex, the quadratic equation that models the path of the golf ball is given by:
y = -0.0011875(x - 400)² + 190
What is the equation of a parabola given it’s vertex?The equation of a quadratic function, of vertex (h,k), is given by:
y = a(x - h)² + k
In which a is the leading coefficient.
In this problem, the vertex is at the maximum height of the parabola, given by (400, 190), hence h = 400, k = 190, and:
y = a(x - 400)² + 190
It starts at the origin, that is, when x = 0, y = 0, hence:
0 = 400²a + 190
a = -190/400²
a = -0.0011875.
Hence, the equation is:
y = -0.0011875(x - 400)² + 190
More can be learned about quadratic equations at https://brainly.com/question/24737967
A 2-column table with 6 rows. The first column is labeled x with entries 2.2, 12.7, 45.2, 76, 113.9, 124.5. The second column is labeled y with entries 0, 1.25, 2.5, 3.4, 5.2, 5.7. A graph shows the horizontal axis numbered 20 to 140 and the vertical axis numbered 2 to 8. A line increases from 0 to 140.
The data set shown represents the total fee for miles traveled on a toll road. Use the information to complete the statements.
There are
observed toll fee values.
It costs $
to travel 76 miles.
The predicted value for traveling 30 miles is $
Answers
Sorry for the late answers, but the answers are...
6
3.40
1.61
I know this because I had this problem and I got it correct. The screenshot attached is proof that the answers are correct
Answer:
There are 6 observed toll fee values.
It costs 3.40 to travel 76 miles.
The predicted value for traveling 30 miles is 1.61
Step-by-step explanation:
What is the area of the triangle?
Answers
Answer:
12 inches squared :)
Step-by-step explanation:
Area of triangle: hxb/2
Now lets solve!!
4(6)/2
24/2
12
Have an amazing day!!
Please rate and mark brainliest!!
Heightxbase 1/2 is the formula of finding the area of a triangle
Hope this was helpful:)
Mataeo earns $0.76 per item produced. This week, he produced 360 items. What was his total pay?
Answers
273.6
Step-by-step explanation:[tex]0.76\times 360[/tex]
______________________________________
Calculate[tex]0.76\times 360[/tex]
______________________________________
Calculate the product or quotient[tex]273.6[/tex]
I hope this helps you
:)
Find x of the shape in picture
show all work please
Answers
Answer:
105 degrees
Step-by-step explanation:
The sum of any quadrilateral is 360 degrees. So, in order to find x, you have to subtract all the given sides from 360.
360-100-95-60=105
Hope this helps! Pls give brainliest!
[tex]\frac{n! + (n+1)!}{n!}[/tex]
Answers
Answer:
zero or may be infinite bro
The angles shown are supplementary What is
the value of x One angle is 3x and the other is 96
Answers
Answer:
x = 28
Step-by-step explanation:
Supplementary angles mean that both angles are equal to 180. So, the equation becomes 3x + 96 = 180. Solving for x, we get 28.
Answer:
The value of x is 28
Step-by-step explanation:
Given :
Angles are supplementary One angle = 3xOther angle = 96Now,
Supplementary angles are a pair of angles that make sum of 180° .
Therefore, The sum of given angles will be equal to 180°.
i.e. one angle + other angle = 180°
Substituting the values of angles , we get..
[tex]⇢3x + 96 = 180[/tex]
[tex]⇢3x = 180 - 96[/tex]
[tex]⇢3x = 84[/tex]
[tex]⇢x = \frac{84}{3} [/tex]
[tex]⇢ \boxed{x = 28}[/tex]Complete the table of successive approximation to find the x-value of the solution of f(x)=g(x) to the nearest hundredth f(x)= x^2-2 g(x) = x-1
Answers
The solution of f(x)=g(x) to the nearest hundredth if f(x)= x^2-2 g(x) = x-1 is 1.62 or -0.62
How to find the solution to a given set of function?Given the following function below:
f(x) = x^2 - 2
g(x) = x - 1
Since f(x) = g(x), hence;
x^2 - 2 = x - 1
x^2 - x - 1 = 0
Factorize to have:
x = 1/2 +√5/2 or x= 1/2 - √5/2
x = 1.62 or -0.62
Hence the solution of f(x)=g(x) to the nearest hundredth if f(x)= x^2-2 g(x) = x-1 is 1.62 or -0.62
Learn more on solution to functions here: https://brainly.com/question/10439235
A plane intersecting a double-napped cone is parallel to the generator. which conic section is formed? circle ellipse hyperbola parabola
Answers
Answer:
(d) parabola
Step-by-step explanation:
The attached diagram shows some of the curves that result from a plane intersecting one nap of a double-napped cone.
__
When the plane is parallel to the generator, a parabola is the curve of intersection. When the plane intersects both naps of the cone, the resulting set of curves is a hyperbola (not shown here).
George is constructing the circumscribed circle for △RST. He has already used his compass to complete the part of the construction shown in the figure.
Which construction could be his next step?
Construct the line through points A and T and a second line through points B and S.
Construct the line through points A and C and a second line through points B and D.
Construct the line through points A and B and a second line through points C and D.
Construct the line through points A and D and a second line through points B and C.
Answers
Answer:
Construct the line through points A and B and a second line through points C and D.
Step-by-step explanation:
This is straight from the test. :)
Answer:
c just took test
Step-by-step explanation:
NEED HELP ASAP!! NEED BOTH DONE BY 9:25 PLEASE HELLPPPPPP!!! GIVING BRAINLIEST TO BEST ANSWERS!
1. Solve two and one third times four fifths.
1 four sixths
2 twenty eight fifteenths
3 twenty seven fifteenths
4 twenty eight sixths
2.Solve two and one third times two and three fourths.
1 four and three twelfths
2 six and five twelfths
3 seven and five twelfths
4 eight and three twelfths
Answers
Answer:
Question1:
2 twenty eight fifteenths
Question2:
3 seven and five twelfths
Step-by-step explanation:
1st question solution
[tex]\dashrightarrow \sf 2\dfrac{1}{3} *\dfrac{4}{5}[/tex]
[tex]\dashrightarrow \sf \dfrac{7}{3} *\dfrac{4}{5}[/tex]
[tex]\dashrightarrow \sf \dfrac{28}{15}[/tex]
2nd question answer
[tex]\dashrightarrow \sf 2\dfrac{1}{3} *2\dfrac{3}{4}[/tex]
[tex]\dashrightarrow \sf \dfrac{7}{3} *\dfrac{11}{4}[/tex]
[tex]\dashrightarrow \sf \dfrac{77}{12}[/tex]
[tex]\dashrightarrow \sf 6\dfrac{5}{12}[/tex]
pls help with number 1
Answers
Answer:
the answer to that question is C
Answer:
C
Step-by-step explanation:
this is not my best area so I may be off but C seems to be the best answer. I got 7 for my mean, 6.5 for my median, and 5.5, 6.5 and 8 as my modes. I'm not sure how to explain my reasoning for getting C though.
If you spin the spinner 8 times, what is the best prediction possible for the number of times it
will land on blue?
Answers
Which of these numbers is a
perfect square?
How do you know?
a) 10
b) 50
c) 81
d) 20
Answers
Answer:
C. 81 because 9 going to make 81 an perfect square.
At 3 pm, the outside temperature was -2°F. The temperature then fell steadily by 2*Fevery hour for the next four hours. What was the temperature at 7 pm?
Answers
Answer:
-10*F at 7pm
Step-by-step explanation:
Find the zeros of the function y = -4x^2 + 16
Answers
[tex]-4x^2+16 & =0\\\\\implies -4(x^2-4) & =0 \\\\\implies x^2-4 =0\\ \\\implies x^2-2^2 =0\\\\\implies (x+2)(x-2)=0\\\\\implies x=2,~~x = -2[/tex]
Ali has $550 in his bank, he owes $145 to his sister, $225 to his brother, and $90 to his friend. How much money does he have to save if he needs a bike worht $600 (USE INTEGERS)
Answers
Answer: He needs to save $510
Step-by-step explanation: money owed 145+225 +90= 460
Has 550 in the bank, deduct money owed 550-460 =$90
He needs a bike of $600 and has only $90