Find the unknown length x in each right triangle ,to the nearest tenth.please help
Answers
The following are the value of the unknown length x to the nearest tenth;
9. x = 9.0
10. x = 16.3
11. x = 54.1
12. x = 46.7
What is the value of the unknown length?
9.
cos θ = Adjacent / Hypotenuse
cos θ = 90° - 37° = 53°
cos 53° = x/15
cross product
15 × cos 53° = x
15 × 0.601815023152048 = x
x = 9.0272
Approximately, 9.0
10.
cos θ = Adjacent / Hypotenuse
cos 53° = x/27
cross product
27 × cos 53° = x
27 × 0.601815023152048 = x
x = 16.25
Approximately, 16.3
11.
cos θ = Adjacent / Hypotenuse
cos 75° = 14/x
cross product
x × cos 75° = 14
x = 14/cos 75°
x = 14/0.258819045102520
x = 54.1
12.
cos θ = Adjacent / Hypotenuse
cos θ = 90° - 24° = 66°
cos 66° = 19/x
cross product
x × cos 66° = 19
x = 19/cos 66°
x = 19/0.406736643075800
x = 46.7132
Approximately,
x = 46.7
Related Questions
-2x+y=1.3 2(0.5x-y)=4.6
Answers
y=1.3+2xy=1.3+2x
2 Substitute y=1.3+2xy=1.3+2x into 2(0.5x-y)=4.62(0.5x−y)=4.6How?
2(-1.5x-1.3)=4.62(−1.5x−1.3)=4.6
3 Solve for xx in 2(-1.5x-1.3)=4.62(−1.5x−1.3)=4.6How?
x=-2.4x=−2.4
4 Substitute x=-2.4x=−2.4 into y=1.3+2xy=1.3+2xHow?
y=-3.5y=−3.5
5 Therefore,
x=-2.4x=−2.4
y=-3.5y=−3.5
passing through (1,9),slope=2
Answers
Assuming that we want this in slope intercept form, which is y=mx+b (m=slope, b=y-intercept) then we need to find the y-intercept! :)
To find the y-intercept (or b!!) you simply need to plug everything into slope intercept form using our given points.
y = mx + b
Plug everything in.
9 = 2(1) + b
Simplify.
9 = 2 + b
Subtract 2 from both sides.
9 - 2 = b
b = 7
Therefore, our y-intercept is 7! :)
Now that we have both the y-intercept and the slope, we can finally plug this into a new equation, using slope intercept form.
y = mx + b
y = 2x + 7
~Hope I helped!~
Here the slope is 2.
Then, y = 2x + b
The line is passing through (1;9).
We just have to substitute that in the equation.
9 = 2*1+ b
b = 9 - 2
b = 7
That's the intercept.
Eventually, the equation is : y = 2x + 7
Hope this helps !
Photon
I have to translate these into algebraic expressions. three-fifths x subtracted from 4 times one-eighth w. the other one is 60% of the product of one-twelfth y and two-thirds z.
Answers
0.6(1/12y*2/3z)
The final algebraic expressions are: [tex]\frac{1}{2} w - \frac{3}{5} x[/tex] and [tex]\frac{1}{30} yz[/tex]
Sure, let's break down each part of your question step-by-step to translate them into algebraic expressions.
Three-fifths x subtracted from 4 times one-eighth w
Let's identify the components first:
"Three-fifths x" is written as [tex]\frac{3}{5} x[/tex]."4 times one-eighth w" is written as [tex]4 \times \frac{1}{8} w[/tex] or simply [tex]\frac{4}{8} w[/tex].Now, write the expression for "three-fifths x subtracted from 4 times one-eighth w":
[tex]\frac{4}{8} w - \frac{3}{5} x[/tex]
Simplifying [tex]\frac{4}{8} w[/tex] to [tex]\frac{1}{2} w[/tex], the algebraic expression becomes:
[tex]\frac{1}{2} w - \frac{3}{5} x[/tex]
60% of the product of one-twelfth y and two-thirds z
Let's identify the components first:
"One-twelfth y" is written as [tex]\frac{1}{12} y[/tex]."Two-thirds z" is written as [tex]\frac{2}{3} z[/tex]."Product of one-twelfth y and two-thirds z" is written as [tex]\frac{1}{12} y \times \frac{2}{3} z[/tex].First, calculate the product:
[tex]\frac{1}{12} y \times \frac{2}{3} z = \frac{2}{36} yz = \frac{1}{18} yz[/tex]
Now, we need "60% of that product":
60% can be written as [tex]0.60[/tex], so the expression becomes:
[tex]0.60 \times \frac{1}{18} yz = \frac{3}{90} yz = \frac{1}{30} yz[/tex]
So, the algebraic expression for "60% of the product of one-twelfth y and two-thirds z" is:
[tex]\frac{1}{30} yz[/tex]
The table below represents a linear function f(x), and the equation represents a function g(x): X) -1, 0, 1 F(x) -5, -1, 3 G(x)=2x+8
Part A. Wrote a sentence to compare the slope of the two functions and shows the steps you used to determine the slope of f(x) and g(x)
Part B which functions has greater y-intercept. Justify
Answers
1. The slope of f(x) is twice as steep as that of g(x).
2. The y intercept of g(x) is much greater than that of f(x) because 8>-1
A hockey game between two teams is 'relatively close' if the number of goals scored by the two teams never differ by more than two. In how many ways can the first 12 goals of a game be scored if the game is 'relatively close'?
Answers
This question falls under the combinatorial mathematics branch. Due to the complex nature of the problem which involves permutations and combinations, it's necessary to use a systematic approach or a computer algorithm to find the total number of scoring sequences that keeps the game 'relatively close'. Hence, the actual numerical answer would require a stronger background in combinatorics.
Explanation:This question belongs to the subject of combinatorial mathematics, particularly involving permutations and combinations. In this scenario, 'relatively close' is defined as the number of goals scored by the two teams never differing by more than two. The total number of goals scored in the game is twelve.
Let's denote the two teams as Team A and Team B. The game can start in three ways: either Team A scores twice, Team B scores twice, or each team scores once. After that, at any point, the next goal can either maintain the score within the 'relatively close' range of two goals or equalize the score.
Determining the total number of scoring sequences under these conditions requires generating a tree diagram and counting all the possible paths, subject to the condition that the absolute difference between the number of goals for the two teams does not exceed two at any stage. Due to the combinatorial complexity, this task could be difficult without using a systematic approach or computer algorithm.
Therefore, to actually answer this question, one would require a stronger background in combinatorics, and most likely the assistance of programming or mathematics software to execute a brute force count or implement a more advanced mathematical solution.
Learn more about Combinatorial Mathematics here:https://brainly.com/question/32415345
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the pyramid arena in memphis tennessee is a square pyamid that is 321 feet tall. the base has 600 foot sides. find the volume of the pyramid
Answers
The volume of a pyramid is represented by
V = [tex] \frac{l * w* h}{3} [/tex]
The sides are 600 and the height is 321 so by filling in the values in the formula, you can get to your final answer. This is represented in the attached image.
What is the answer for 20x21
Answers
21 groups of 20 is 21*2=42
42*10=420
Hope this helped☺☺
4/5 of the books in a library of fiction books. What percentage of the books or fiction books?
Answers
Paige works at a department store and has a commission rate of 3 percent. Her sales for the quarter were $4,596. If she earns $50 per day and she worked 30 days in the quarter, what is the total amount she earned?
Answers
Here's what the equation would look like:
30(50) + 0.03(4596)
1500 + 137.88
Paige earned $1637.88.
Answer:
Paige earned $1637.88.
Step-by-step explanation:
i did it enginuity
Find x. Round to the nearest hundredth.
Answers
x = 22.55
100 dL = how many L exp lane please and answer
Answers
100 deciliter is equal to 10 liter
Details down below....
There are 0.1 liters in a deciliter.
We can use that information to find how many liter are there in 100 deciliter.
So, it should look like this:
0.1 L...........1 dl
x L................100 dl
Cross multiply
1 * x = 100 * 0.1
x = 10
You got it? See how easy that was :)
Math is an interesting beautiful subject. We just need to know the formulas and understand when and how to use them.
I hope this answer helps! As always, it is my pleasure to help students like you!
Uniforms are sold in packages of 8 - the stores 127 employees will be given 3 uniforms
Answers
What is the median of the following data set? {6, 3, 9, 1, 7} 3 6 8 9
Answers
Your answer would be 9.
Answer:
9
Step-by-step explanation:
....................
Answers
Selection A is appropriate.
PLS HURRY FIRST ANSWER IS MATKED BRAINLEST!!!
What is the volume of the piles of hay??
Answers
1 x 2 x 4 = 8
72 -8 = 64 cubic feet
James cut 1 1/4 dozen flower for a bouquet. Gwen added 1 2/4 dozen flowers to the bouquet. How many dozen flowers are there altogether?
Answers
Flower cut for a bouquet by James =[tex] 1\frac{1}{4} [/tex]
Flower cut for a bouquet by Gwen=[tex] 1\frac{2}{4} [/tex]
Flower cut for a bouquet by James and Gwen is the sum of flowers cut by both.
Flower cut for a bouquet by James and Gwen=[tex] 1\frac{1}{4} +1\frac{2}{4} =(1+1)+(\frac{1}{4} +\frac{2}{4} =(2)+\frac{3}{4} =2\frac{3}{4} [/tex]
Flower cut for a bouquet by James and Gwen =[tex] 2\frac{3}{4} [/tex]
What are three two dimensional shapes that could result from slicing a cube
Answers
triangle, square, rectangle, trapezoid, parallelogram, pentagon, hexagon.
Right the slope intercept of the equation of the line through the given point with the given slope through (2, 1) slope = 5/2 m= b= equation:_____________
Answers
B = -4
Y - 1 = 5/2(x - 2)
Y - 1 = 5/2x - 5
+1. +1
Y = 5/2x - 4
(I think)
The quantity demanded x for a product is inversely proportional to the cube of the price p for p > 1. When the price is $10 per unit, the quantity demanded is 64 units. The initial cost is $150 and the cost per unit is $2. What price will yield a maximum profit?
Answers
q(10) = k/10^3 = 64
k = 64,000
Revenue = q(p)*p = 64000/p^2
Cost = 150 +2q = 150 +2*64000/p^3
Profit = Revenue -Cost = 64000/p^2(1 -2/p) -150
Differentiating to find the maximum profit, we have
.. dProfit/dp = -2(64000/p^3) +6(64000/p^4) = 0
.. -1 +3/p = 0
.. p = 3
A price of $3 per unit will yield a maximum profit.
Anyone? please i need help
Answers
y = 5x - 7
Explanation:
The general form of the linear line in slope-intercept form is:
y = mx + c
where:
m is the slope
c is the y-intercept
1- getting the slope:
The slope of the line can be calculated using the following formula:
m = [tex] \frac{y_{2}-y_{1}}{x_{2}-x_{1}} [/tex]
We are given the points:
(3,8) representing (x₁,y₁)
(2,3) representing (x₂,y₂)
Substitute with the givens in the above equation to get the slope as follows:
m = [tex] \frac{3-8}{2-3} [/tex] = 5
Therefore, the equation now became:
y = 5x + c
2- getting the y-intercept:
To get the value of the c, we will use any of the given points, substitute in the equation we got in part 1 and solve for c. I will use point (2,3) as follows:
y = 5x + c
3 = 5(2) + c
3 = 10 + c
c = 3 - 10
c = -7
Based on the above, the equation of the line is:
y = 5x - 7
Hope this helps :)
Answer:
[tex]y= 5x-7[/tex]
Step-by-step explanation:
Using slope-intercept form:
The equation of line is given by:
[tex]y=mx+b[/tex] .....[1]
where,
m is the slope of the line
b is the y-intercept.
As per the statement:
The points (3, 8) and (2, 3) fall on a particular line.
Using slope(m) formula:
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Substitute the given points we have;
[tex]m = \frac{3-8}{2-3}=\frac{-5}{-1}=5[/tex]
⇒m = 5
Put m = 5 in [1] we have;
[tex]y=5x+b[/tex]
Substitute the point (3, 8) we have;
8 = 5(3)+b
8 = 15+b
Subtract 15 from both sides we have;
[tex]-7 = b[/tex]
or
b = -7
Then we have;
[tex]y= 5x-7[/tex]
Therefore, the equation of line in slope intercept form is, [tex]y= 5x-7[/tex]
PLZ!!! HELP!!!!!!!!!
This figure is 14 of a circle.
What is the best approximation for the perimeter of the figure?
Use 3.14 to approximate pi.
A.7.85 in.
B.12.9 in.
C. 17.9 in.
D. 31.4 in.
The file is the picture of the quarter or 1/4 circle
Answers
Answer:
C. 17.9
Step-by-step explanation:
Formula: 1/4 π x d
d = diameter
d = 2r
1/4 π x 10 = 10/4 π
Add the 2 non-curve sides
5 + 5 = 10
10/4 x (3.14 = π) x 10
= 17.9
I hope this helps! :)
Are similar this triangles
Answers
Both triangles have sides in the ratios 9 : 11 : 13.
Suppose a ball is completely submerged inside a cylinder filled with water displacing some of the water in the cylinder. Assume the ball and the cylinder both have a diameter of 10 centimeters, and the diameter of the ball is the same as the height of the cylinder. Determine the volume of water that can remain in the cylinder after the ball is inserted so that the water rises to the top edge of the cylinder without spilling
Answers
.. Vc = πr²×(2r) = 2πr³
In terms of radius, the volume of the sphere is
.. Vs = (4/3)πr³
Then the volume of water is the difference
.. Vw = Vc -Vs
.. = (2 -4/3)πr³
.. = (2/3)πr³
For the given dimensions, this is
.. Vw = (2π/3)*(5 cm)³
.. = 250π/3 cm³
.. ≈ 261.8 cm³ . . . . . . . . volume of water in the cylinder
Answer:the volume of cylinder is 785
volume of the sphere is 523.33
the volume of the water that can remain is 261.8
Step-by-step explanation: algebra nation answer
if x <0, which integer does not satisfy the inequality x+2 <1
Answers
x<1-2
x<-1
-1 does not satisfy the inequality because though-1 is lesser than 0 but not lesser than -1.
Answer:x+2<1x<1-2x<-1-1 does not satisfy the inequality because though-1 is lesser than 0 but not lesser than
How many 53/4 pieces of yarn can be cut from a roll that is 60 inches long? please i really need help
Answers
x= number of 53/4 pieces
x= 60 ÷ 53/4
to divide by the fraction, multiply by the reciprocal/inverse of 53/4
x= 60 * 4/53
x= (60*4)/53
x= 240/53
x= 4 28/53 or 4.528
ANSWER: The roll can be cut into 4 pieces with a 28/53 piece leftover.
Hope this helps! :)
Which describes the correct way to convert minutes to hours?
Answers
60m = 1h
m = minutes | h =hour
60m + 60m = 120m = 2h
Hope this helped!
During a 5-year period, 32% of snowstorms in a certain city caused power outage Fifty-one of the snowstorms did not cause power outages. Find the total number of snowstorms in this city over the 5-year period.
Answers
This can be written as 0.68 x = 51 where x is the total number of snowstorms. Divide both sides by 0.68 to solve for x. X = 75 snowstorms. Another way to do this is to use Ratios. See the attached page for the strategy.
Total number of snowstorms = 75 storms
Explanation:
We are given that:
32% of the snowstorms caused power outage
This means that we can get the percentages of the snowstorms that did not cause power outage as follows:
% of storms not causing outage = 100% - 32% = 68%
Now, we are given that the number of snowstorms that did not cause power outage is 51
Assuming that the total number of storms is x, the equation would be as follows:
68% * x = 51
0.68x = 51
x = 51 / 0.68
x = 75 storms
Hope this helps :)
9. A model of a building is made using a scale of 1 inch = 25 feet. What is the height of the actual building, in feet, if the height of the model is 12.5 inches?
*PLZ HELP* *DUE IN 1 HOUR* *EMERGENCY* *17 POINTS* *YOU WILL GET A COOKIE*
Answers
We have to find y which is the actual height, 12.5 inches: y.
To find y, you have to multiply 12.5 by 25 to find the actual height.
12.5×25= 312.5
So the actual height of the building is 312.5 feet.
Answer:
312.5
Step-by-step explanation:
i wil get my cookie
Two angles are complementary. If the measure of one angle is twice the measure of the other angle, what is the measure of the larger angle?
Answers
x = 2y
plug in 2y for x
2y + y = 90
3y = 90
3y/3 = 90/3
y = 30
plug in 30 for y
x = 2y
x = 2(30)
x = 60
x (the largest angle) = 60°
hope this helps
Answer:
70 is the answer choise I picked it and got it correct
Step-by-step explanation:
a dinosaur fossil is 92,170,000 years old. How can you express this age in scientific notation with the highest level of precision?
Answers
Answer: Its age is expressed as [tex]9.217\times 10^7[/tex]
Step-by-step explanation:
Since we have given that
Age of dinosaur fossil = 92170000 years old
We need to write in scientific notation with the highest level of precision.
Since we know that Scientific notation means put the decimal just after unit digit and for all remaining digit there is to the power of 10.
So, it becomes,
[tex]92170000=9.217\times 10^7[/tex]
Hence, its age is expressed as [tex]9.217\times 10^7[/tex]