Find the value of x, y, and z.
Round to the nearest tenth if needed.
Please help me
Answers
Answer:
x = 26.5
y = 12.0
z = 13.4
Step-by-step explanation:
✔️To find x, apply the leg rule, which is:
Hypotenuse/leg = leg/part
Hypotenuse = 30
Leg = x
Part = 30 - 6 = 24
Plug in the values into the equation
30/x = x/24
Cross multiply
x² = 30*24
x² = 720
x = √720
x = 26.5 (nearest tenth)
✔️Apply the triangle altitude theorem to find y:
Based on the theorem, h = √(ab)
Where,
a = 6
b = 30 - 6 = 24
h = y
Plug in the values
y = √(6*24)
y = √144
y = 12
✔️Apply the leg rule, Hypotenuse/leg = leg/part to find z:
Hypotenuse = 30
Leg = z
Part = 6
Plug in the values into the equation
30/z = z/6
Cross multiply
z² = 30*6
z² = 180
z = √180
z = 13.4 (nearest tenth)
Related Questions
I need help pls:(((((((((((((((((
Answers
Answer:
108
Step-by-step explanation:
We first must find the total per year of every family.
Remember... there are 12 months in a year
Wilson: 18 × 12 = 216
Kumar: 16 × 12 = 192
Lopez: 27 × 12 = 324
Anders: 14 × 12 = 168
Johnson: 15 × 12 = 180
The Lopez family borrows the most. (324 books)
The Wilson family borrows the second most. (216 books)
324 - 216 = 108
Margaret owns (5/6) of a section of land. She planted corn on (1/4) of her land. What fraction of the entire section is planted with Margaret’s corn?
Answers
Answer:
3/5
Step-by-step explanation:
subtract the fractions then turn the decimal into a fraction.
A boat covers 25 km upstream and 44 km downstream in t hours. Also, it covers 15 km upstream and 22 km downstream in 5 hours. Find the speed of the boat in still water and that of the stream.
Answers
9514 1404 393
Answer:
boat speed: (7t -95)/(6t² -110t +500)
stream speed: (37t -345)/(6t² -110t +500)
Step-by-step explanation:
The relation between time, speed, and distance is ...
time = distance/speed
The boat speed (b) is added to the stream speed (s) going downstream. The stream speed is subtracted going upstream. The given relations tell us ...
25/(b-s) +44/(b+s) = t
15/(b-s) +22/(b+s) = 5
This gives us 2 equations in 3 unknowns, so we can only provide a solution in terms of one of the unknowns. Since we are asked for the speeds, they will be provided in terms of t.
Subtracting the first equation from 2 times the second gives ...
2(15/(b-s) +22/(b+s)) -(25/(b-s) +44/(b+s)) = 2(5) -(t)
5/(b-s) = 10 -t
5/(10 -t) = b -s
Substituting for b-s in the second equation gives ...
15/(5/(10-t)) +22/(b+s) = 5
30 -3t +22/(b+s) = 5
22/(b+s) = 3t -25
22/(3t -25) = b+s
Adding the equations for the sum and difference of speeds, we get ...
(b-s) +(b+s) = 5/(10-t) +22/(3t -25)
2b = (5(3t -25) +22(10 -t))/((10-t)(3t-25)) = (95 -7t)/((10-t)(3t-25))
b = (7t -95)/(6t² -110t +500)
Subtracting the equations for sum and difference of speeds, we get ...
(b+s) -(b-s) = 22/(3t -25) -5/(10 -t)
2s = (22(10-t) -5(3t -25))/((10-t)(3t-25))
s = (37t -345)/(6t² -110t +500)
__
The speed of the boat in still water is (7t -95)/(6t² -110t +500) km/h.
The speed of the stream is (37t -345)/(6t² -110t +500) km/h.
__
Note that these solutions only make sense for values of t between 25/3 and 345/37, approximately 8.33 < t < 9.32. For t=9 hours, the boat speed is 8 km/h and the stream speed is 3 km/h.
Pls help ASAP I DONT have time
Answers
Answer:
B: y = 3x + 6
you can plug in to test answer
6=3(0)+6
18=4(3)+6
27=7(3)+6
42=12(3)+6
What is the area of the base ? / / / / /
Answers
Answer:
area of base = 20 in²
Step-by-step explanation:
area of base = 2 x 10 = 20 in²
William has a coin and a spinner, shown below. He can flip heads or tails on the coin and spin numbers 1 through 8 on the spinner. He flips the coin once and spins the spinner once. What is the probability that the coin will land on heads and the spinner will land on an odd number?
Answers
Answer:
1/4
Step-by-step explanation:
Coin sample Space = {H, T}
Spinner sample space = {1, 2, 3, 4, 5, 6, 7, 8}
Probability that coin lands on head :
P(H) = 1 /2
Probability that spinner lands on odd number :
Odd numbers = {1, 3, 5, 7} = 4
P(spinner lands on odd) = 4 / 8 = 1/2
Hence, probability that the coin will land on heads and the spinner will land on an odd number = (1 /2 * 1/2) = 1/4
Can someone please help me solve this I don’t have a right calculator to do it!
Answers
Answer:
Step-by-step explanation:
You can solve it using the calculator that came with windows -- as far back as windows 7. It probably goes back even further, but that's all I can guarantee. Your phone might be able to do it as well.
y = 25000 * 0.007^5
y = 25000 * 1.6807 *10^-11
y = 0.00000042 is what my calculator gives.
Windows can probably do better.
Find the product
Give your answer in simplest form.
3/5x12
Answers
Ms. Ruiz has a piece of fabric that is 3 3/4 yards long. She waves to cut it into 12 equal pieces. How many yards will each piece of fabric be
Answers
Answer:
the number of yards be 0.3125
Step-by-step explanation:
The computation of the number of yards will each piece of fabric be is shown below:
Given that
There is [tex]3 \frac{3}{4}[/tex] yards long i.e. 15 ÷ 4
And, it should be cut into 12 equal pieces
So, the number of yards will each piece of fabric be is
= 15 ÷ 4 ÷ 12 ÷ 1
= 15 ÷ 48
= 0.3125
Hence, the number of yards be 0.3125
Answer:
5/16
Step-by-step explanation:
3 3/4= 13/4
13/4 ÷ 12= 0.3125
0.3125 = 5/16
*WILL GIVE BRAINLIEST FOR THE BEST ANSWER NO VIRUS LINKS OR ILL REPORT YOU*
Which of these statements best describes a biased sample?
A. The sample is small
B. The sample has results that are incorrect predictions
C. The sample does not accurately represent the population
D. The sample was chosen randomly
Answers
Answer:
C) The sample does not accurately represent the population
Answer:
C
Step-by-step explanation:
If you go to go o g l e and search up "bias sample examples" it will give you examples! I hope I helped :)
can some give me the anwsers
Answers
Answer:
150 -160
Step-by-step explanation:
I not amazing at this but i do know this is kinda hard. sorry if it is wrong
ok now this hehehe, i just wanna see if im correct.
Answers
Answer:
x = 49.4°Steps:
given: m∠EFG = 90°
tan(x) = FG/EF
tan(x) = 10.5/9
tan(x) = 7/6
tan(x) = 1.166..
x = tan⁻¹(x)
x = tan⁻¹(1.166..)
x = 49.39.. ≈ 49.4°
Simplify the expression below.
4x+ 3(2x−1) − 4x
Answers
Answer:
=6x−3
Step-by-step explanation:
Let's simplify step-by-step
4x+3(2x−1)−4x
Distribute:
=4x+(3)(2x)+(3)(−1)+−4x
=4x+6x+−3+−4x
Combine Like Terms:
=4x+6x+−3+−4x
=(4x+6x+−4x)+(−3)
=6x+−3
Answer:
6x - 3
Step-by-step explanation:
4x + 3(2x - 1) - 4x
Distribute, multiply every term inside the parenthesis by the term outside of it,
4x + (3)(2x) + (3)(-1) - 4x
Simplify,
4x + 6x - 3 - 4x
Simplify further, combine like terms,
6x - 3
PLZZZ ANSWER HURRY 25 POINTS
Answers
Answer:
3
Step-by-step explanation:
It takes 76 pounds of seed to completely plant an 11-acre field. How many pounds of seed are needed per acre?
Answers
Answer:
6 pounds and 9 ounces
or 7 pounds when rounded
Complete the following table using the equation: y = x squared
x
-3
-1
0
1
3
y
Plot the points on a graph and determine which graph best represents the equation.
Graph A
On a coordinate plane, a parabola opens up and goes through (negative 2, 4), has a vertex at (0, 0), and goes through (2, 4).
Graph B
On a coordinate plane, a parabola opens down and goes through (negative 2, negative 4), has a vertex at (0, 0), and goes through (2, negative 4).
a.
-9, -1, 0, -1, -9; Graph B
b.
9, 1, 0, 1, 9; Graph B
c.
9, 1, 0, 1, 9; Graph A
d.
-9, -1, 0, -1, -9; Graph A
Answers
Answer:
Step-by-step explanation:
ITS A
Answer:
The answer is C , Graph A
Step-by-step explanation:
explain how you can tell whether a group of ratios represents a proportional relationship. PLEASE HELP
Answers
hope this helps :)
Tell whether the angles are adjacent or vertical. Then find the value of x. The angles are . Question 2 x=
Answers
Answer:
Adjacent
x = 14
Step-by-step explanation:
Find the diagram attached
Adjacent angles places side by side and can also be on the same straight line. Since 5x and x+96 are on the same straight line ans placed side by side, then the angles are adjacent.
The sum of angle on a straight line is 180 degrees, hence;
5x + x+ 96 = 180
6x = 180 - 96
6x = 84
x = 84/6
x =14
The value of x s 14
Expand the expressions below using a rectangular array.
42g+r−5
Answers
Answer:
42g + r - 5 =0
Step-by-step explanation:
Question 5 1 To get from my home to my school, I travel approximately 4.1 miles east, then approximately 4.7 miles north. What is the approximate distance from my home to my school, rounded to the nearest tenth of a mile? * School Distance Home 90°
Answers
Answer:
I hope you find the answer
Help ASAP, ACD and DCB form a linear pair
Answers
Answer:
40
Step-by-step explanation:
because 180- 140 = 40
a linear pair means they equal 180
The measure of angle ACD (∠ACD) is 40 degrees.
Given that angles ACD and DCB forms a linear pair, also m ∠DCB = 140°,
We are asked to find the measure of ∠ACD,
So,
If angles ACD and DCB form a linear pair, it means that their sum is equal to 180 degrees.
Let's denote the measure of angle ACD as x.
So, we have the equation:
m∠ACD + m∠DCB = 180°
Substituting the given value for m∠DCB:
x + 140° = 180°
To solve for x, we can subtract 140° from both sides of the equation:
x = 180° - 140°
x = 40°
Therefore, the measure of angle ACD (∠ACD) is 40 degrees.
Learn more about linear pair click;
https://brainly.com/question/1757859
#SPJ2
is y = 7/8x proportional or non-proportional??
Answers
Answer:
It is proportional
Step-by-step explanation:
May have brainllest I only need 39 more to get to genius
I GOT A FAKE ANSWER ON THE LAST ONE SO PLEASE HELP FOR REAL NOT FOR THE POINTS
This is your chance to demonstrate your basketball skills! You have been chosen to participate in a paper-ball throwing contest.
Directions:
1. Use the scrap paper to make 10 paper balls per group. (Wad the paper balls up tightly so they are easier to aim.)
2. Place a trash can (or other large container) 5 feet away.
3. Predict how many paper balls you will be able to get into the basket. Type your prediction.
4. Type your results as a fraction.
5. Type your results as a decimal.
Answers
Answer: 3/5 or 0.6
Step-by-step explanation: It would take 2 shots for me to fine tune the force I need to get a perfect shot. If you divide 3 by 5 you get 0.6.
Need ASAP! Will give brainliest!
Answers
Use the information from the graphs to write the equation in y=ab*^x
Answers
Answer:
1). y = 4(1.75)ˣ
2). y = (2)ˣ
Step-by-step explanation:
1). Let the equation of the given exponential graph is,
y = a(b)ˣ
Graph of the given equation passes through two points (0, 4) and (0+1, 4+3)
For point (0, 4),
4 = a(b)⁰
a = 4
For point (1, 7),
7 = 4(b)¹
b = [tex]\frac{7}{4}[/tex]
b = 1.75
Therefore, equation of the function is,
y = 4(1.75)ˣ
2). Similarly, equation of the second graph will be same in the form of
y = a(b)ˣ
Second graph passes through the points (0, 1) and (2, 4)
For (0, 1),
1 = a(b)⁰
a = 1
For (2, 4),
4 = 1(b)²
b = 2
Therefore, exponential function representing the graph will be,
y = 1(2)ˣ
y = 2ˣ
What transformation of Figure 1 results in Figure 2.? Select from the drop-down menu to correctly complete the statement. A Choose... of Figure 1 results in Figure 2. Figure 2 is a triangle and it is a transformation of Figure 1
Answers
Answer:
fliped up ward
Step-by-step explanation:
Answer:
a rotation,
Step-by-step explanation:
just took the quiz
HELPPPPPPP!!!!!!!!!!!!!!
Answers
Answer:
the top and bottom ones
Step-by-step explanation:
Sin(x)=sqrt3/2 solutions of
Answers
Answer:
pi/3+2pin, 2pi/3+2pi(n)
Answer:
the next one is c - pi/2
Step-by-step explanation:
what is the value of x
Answers
Step-by-step explanation:
2x = x + 11
x = 11
a recipe for bread uses 2 cups of liquid and 6 cups of flour for 3 loaves of bread. how many cups of flour are needed for 10 loaves and how much liquid is needed if 21 cups of flour are used?
Answers
10
Step-by-step explanation:
I just did this in a lesson