The backboard of the basketball hoop forms a right triangle with the supporting rods, as shown. Use the
Pythagorean Theorem to approximate the distance between the rods where they meet the backboard. Round your answer to the nearest
hundredth.
Answers
Answer:
9.14 inches.
Step-by-step explanation:
From the question,
Assuming the diagram attached, is similar to diagram required to support the question,
From the diagram,
Applying pythagoras theorem
a² = b²+c²...................... Equation 1
Where a = 13.4 in, b = x in, c = 9.8 in.
Substitute these values into equation 1
13.4² = x²+9.8²
x² = 13.4²-9.8²
x² = 179.56-96.04
x² = 83.52
x = √(83.52)
x = 9.14 inches
Hence the distance between the rods is 9.14 inches
Related Questions
P
13pls answer and will mark brainliest
Answers
Answer:
Step-by-step explanation:
1.) 6
2.) A
3.)5
The physician orders Keflex (cephalexin monohydrate) 0.5 g per NG tube q6h. Read the label and calculate the correct dosage.
Label reads : 250 mg per 5 mL
Answers
Answer:
100 mL
Step-by-step explanation:
0.5 x 1000 =500mg
250mg/5ml= 5mg per 1ml
500mg/x mL = 5mg/1ml
cross multiply
500=5mg XmL
=100mL
Help pls quick! pls and ty
Answers
Answer:
All you need to do is find the frequency of the Science Test Scores. For Example, there are 6 students that made a 90%. So, you put 6 dots on the graph where it says 90. For the rest of the numbers, you do the same thing. 3 students made a 50, 2 students made a 60, 7 students made a 70, 5 students made an 80, and like I said 6 students made a 90. Add 0 dots to 40% and 100%, as you can see no students made a 40 or a 100 :(
Step-by-step explanation:
8) Cameron plans to purchase his graduation pictures. The prints cost at least $192 since there are add
ons he may purchase. If he saves $32 per week, write and solve an inequality to determine how many
weeks it will take for Cameron to purchase his graduation pictures.
I
Answers
Answer:
I dont know how to write the answer but i hope my math helped.
Step-by-step explanation:
192 divided by 32 is 6 so it will take Cameron a total of 6 weeks to get is pictures.
Answer:
32x>192
Step-by-step explanation:
I'm not 100% sure, but if you said you needed an inequality the money could be more than 192. So if you have $32 per week (x) is greater than 192 and solve, Camerson could work 6 weeks OR greater. I hope this helps :)
A 25 foot ladder is set against the side of a house so that it reaches up 15 feet. If Damian grabs the ladder at its base and pulls it 3 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 12 ft.) Round to the nearest tenth of a foot.
Answers
Answer: 9.8 ft
Step-by-step explanation: did on delta math:)
Answer:
9.8 ft
Step-by-step explanation:
(attached images) source: deltamath
In marketing, response modeling is a method for identifying customers most likely to respond to an advertisement. Suppose that in past campaigns 23.8% of customers identified as likely respondents did not respond to a nationwide direct marketing campaign. After making improvements to their model, a team of marketing analysts hoped that the proportion of customers identified as likely respondents who did not respond to a new campaign would decrease. The analysts selected a random sample of 1500 customers and found that 315 did not respond to the marketing campaign.
The marketing analysts want to use a one-sample z-test to see if the proportion of customers who did not respond to the advertising campaign, p, has decreased since they updated their model. They decide to use a significance level of α= 0.01.
Required:
a. Determine the value of the z-statistic. Give your answer precise to at least two decimal places.
b. Determine the p-value for this test. Give your answer precise to at least three decimal places.
Answers
Answer:
a) The value of the z-statistic is z = -2.55.
b) The p-value for this test is 0.0054.
Step-by-step explanation:
Suppose that in past campaigns 23.8% of customers identified as likely respondents did not respond to a nationwide direct marketing campaign. Test if this proportion has decreased:
This means that at the null hypothesis we test that if the proportion is still 0.238, that is:
[tex]H_0: p =0.238[/tex]
And at the alternate hypothesis we test if the proportion has decreased, that is:
[tex]H_a: p < 0.238[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.238 is tested at the null hypothesis:
This means that [tex]\mu = 0.238, \sigma = \sqrt{0.238*0.762}[/tex]
The analysts selected a random sample of 1500 customers and found that 315 did not respond to the marketing campaign.
This means that [tex]n = 1500, X = \frac{315}{1500} = 0.21[/tex]
a. Determine the value of the z-statistic. Give your answer precise to at least two decimal places.
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.21 - 0.238}{\frac{\sqrt{0.238*0.762}}{\sqrt{1500}}}[/tex]
[tex]z = -2.55[/tex]
The value of the z-statistic is z = -2.55.
b. Determine the p-value for this test. Give your answer precise to at least three decimal places.
The p-value of the test is the probability of finding a proportion below 0.21, which is the p-value of z = -2.55.
Looking at the z-table, z = -2.55 has a p-value of 0.0054
The p-value for this test is 0.0054.
why energy is like power consumed. Prove mathematically
Answers
Answer:
Hey
Step-by-step explanation:
Sorry i need the points sorry
A number is five less than twice another number
Answers
Answer:
n= 2x-5
Step-by-step explanation:
The Expression for the statement is x= 2y -5.
What is Expression?A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:
An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.Given:
A number is five less than twice another number.
let the number be x and the another be y.
So, the mathematical Expression is
five less than twice another number.
= 2y -5
So, the expression is
x= 2y -5.
Learn more about Expression here:
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28. Scott is participating in a monthly push-up challenge. Each day he is expected to increase the number of push-ups he completes by the same amount.
1 2 3 4
On day 1, Scott completed 3 push-ups. On day 2, Scott completed 5 push-ups. On day 3, Scott completed 7
push-ups. On day 4, Scott completed 9 push-ups.
If Scott continues this pattern, how many push-ups will he be able to
Answers
Answer:
On day 5, he should be able to do 11
Step-by-step explanation:
Day 1 - 3
Day 2 - 5 (2 more than day before)
Day 3 - 7 (2 more than day before)
Day 4 - 9 (2 more than day before)
Following this pattern of +2, day 5 should be 11.
that's my thought process, so I hope it works
What is the area of the unshaded sector?
Answers
Answer:
56π units²
Step-by-step explanation:
area of entire circle = πr² = π8² = 64π
360° - 45° = 315°
(315/360)(64π) = 56π units²
Answer:56 square Units
Step-by-step explanation:
Determine whether the distribution below represents a probability distribution.
x
P(x)
3
-.3
6
.5
9
.1
12
.3
15
.4
Answers
Answer:
No, not a probability distribution.
Step-by-step explanation:
It appears that one of the probabilities in the table (-.3) is negative, which is not allowed.
pls help!!!! 15 points !!!
Answers
Answer:
56 cm
Step-by-step explanation:
The Pythagorean theorem states that the sum of the squares of the legs of a right triangle is equal to the square of the
hypotenuse by the formula a2 + b2 = 2
If a is a rational number and b is a rational number, why could c be an irrational number?
Answers
Answer: I don't know stop cheating on your tests
Step-by-step explanation:
Which of these data sets is symmetrical?
A. 1, 8, 15, 15, 22, 22, 22, 29, 29, 36, 43
B. 1, 8, 15, 22, 22, 22, 29,29, 29, 36, 43
c. 1, 8, 15, 15, 15, 22, 22, 22, 29, 36, 43
D. 1,1, 15, 15, 22, 22, 22, 29, 29, 36, 43
Answers
Answer:
B is the correct answer..
Find the surface area of the prism.
5 yd
4 yd
12yd
6 yd
The surface area is
square yards.
Answers
Answer:
The surface area is 12 square yards.
Step-by-step explanation:
Which of the following is the reciprocal parent function?
A. F(x) = |x|
B. F(x) = 1/x
C. F(x) = -x2
D. Fx) = x + 1
Answers
Answer:B
Step-by-step explanation:
just took the test
Please help its urgent will give brainiest and show your work
Answers
Answer:
r = 28 ft
Step-by-step explanation:
In a right triangle we have:
45² + r² = ( 25 + r )²
2025 + r² = 625 + 50r + r²
1400 = 50r
r = 28 ft
Which iwo operations are needed to write the expression that represents four times the difference of a number and
three"?
multiplication and subtraction
division and subtraction
multiplication and addition
O division and addition
J
Answers
Answer:
multiplication and subtraction
Step-by-step explanation:
4(n-3)
A net of a triangular prism is shown below.
8 ft
3 ft
0 TO 900k
3ft -
5ft
explore
5 ft
re
What is the surface area, in square feet, of the triangular prism
Answers
Answer:
answer: its c 108
Step-by-step explanation:
for the rectangles I just did base x height for all of them and got 24, 32, and 40 then I do the two triangles for those its just base x height ÷ 2 So 4 x 3 = 12 then I divide that by 2 and get 6 but since there's two of those triangles I multiply by 2 and end up with twelve again then I add all of these numbers up so...
24 + 32 + 40 + 12 = 108 Hope this makes sense to you!
triangle ABC below has a right angle C and a height CD. (A height in a triangle connects it vertex and the opposite side, and is perpendicular to that side.) If AC is 3 untis long and BC is 4 units long, what is the length of CD?
Answers
9514 1404 393
Answer:
2.4
Step-by-step explanation:
We can see that this is a 3-4-5 right triangle, so side AB is 5 units long.
The area of the triangle is ...
A = 1/2bh = 1/2(3 units)(4 units) = 6 units
This is true also when side AB is the base and CD is the height.
A = 1/2(AB)(CD)
6 = 1/2(5 units)(CD) . . . . . substitute given information
6/2.5 = CD = 2.4 . . . . . . . divide by the coefficient of CD
The length of side CD is 2.4 units.
__
In the attached, the height to vertex C is given on the bottom line.
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answers
find the area of the figure
Answers
Answer:
25 yards squared
Step-by-step explanation:
Answer:
area =27
Step-by-step explanation:
Find the value of x
7-10 plsss
Answers
Answer:
Step-by-step explanation:
Hope it helps u!!
The values of x are 7) 155°, 8) 90°, 9) 140° and 10) 20°.
What is Polygons?Polygons are closed figures which has at least three set of line segments joined together.
The polygon with least number of sides is triangle.
7) It is a polygon with 4 sides (quadrilateral)
Sum of the interior angles of a quadrilateral = 360°
45° + 65° + 95° + x = 360°
x = 360° - (45° + 65° + 95°)
x = 155°
8) Sum of the interior angles of a polygon = (n - 2)180°, where n is the number of sides.
There are 6 sides.
Sum of the interior angles = (6 - 2)180° = 720°
x + 140 + 130 + 120 + 90 + 150 = 720
x = 90°
9) n = 5
Sum of the interior angles = (5 - 2) 180° = 540°
2x + 90 + 100 + 70 = 540
2x = 280
x = 140°
10) Sum of the exterior angles of a polygon is 360°.
4x + x + 98 + 162 = 360
5x = 100
x = 20°
Hence the values of x are found.
Learn more about Polygons here :
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which is it? please help me and i will give brainliest
Answers
Answer: A, 1/2
Step-by-step explanation:
he is simply using 1 cup of bs for each cup of ws so when you do it its i cup of ws then its hald of 1 bs
Answer:
it is 1/2 i.e. the first option
this is simple ratio method;
white : brown
2 : 1
1 : x
x = 1/2 cups
Hope this helps!
I would really appreciate if you mark me brainliest as I have been trying to get there for a veryyy long time now :)
Figure ABCD is transformed to obtain figure A'B'C'D':
(pic is below)
Part A: Write the sequence of transformations that changes figure ABCD to figure A'B'C'D'. Explain your answer and write the coordinates of the figure obtained after each transformation. (6 points)
Part B: Are the two figures congruent? Explain your answer. (4 points)
No links please :)
if u dont know the answer dont answer please:)
Please dont just answer for points :(
Answers
Answer:
A. Reflection over the y axis and a translation 4 units down
B. Yes because glide reflections preserve side and angle measures.
If you know that log5 (2) - log5 (12) = 0, which of the following is false?
ол
A log5 (x) = log5 (12)
O Blog (2 - 12) = 0
C log5 (x) = 0
ор.
2 = 12
Answers
Answer:
B
Step-by-step explanation:
A is correct because [tex]log_5(12)[/tex] was added on both sides, which is supported by the Additive Property of Equality
C is correct because the Quotient Property of Logarithms states that [tex]log_bM-log_bN=log_b(\frac{M}{N} )[/tex]
so [tex]log_5(x)-log_5(12)=log_5(\frac{x}{12} )[/tex] is correct
D is correct because using the fact that [tex]log_5x=log_512[/tex] it is easy to figure out that x=12
For B, there is no property supporting that statement.
Find the value of x to the nearest tenth
Answers
Answer:
Step-by-step explanation:
To fins this you need to find the other side. To do this you need to do 3 squared plus 5 squared and find the square root of the product. That is about 5.8.
Then you need to do 10 squared plus 5.8 squared, which is 133.6, then find the square root of that, which is 11.6 .
Which equation can be used to solve for in the following diagram?
(3x + 12)
→
Choose 1 answer:
3.3 = 180 + 2
(3.2 + 12) + x = 90
C
(3x + 12) + x = 180
D
(3x + 12) = 2
Answers
Answer:
the Answer is 3x+12)+X=180
Help pls Show work if needed
Answers
Answer:
8a) false
8b) true
8c) true
8d) false
please answer the question! i will give brainliest!!!!!!
Answers
Answer:
B because you multiply all the similar numbers together then at the end you add them all up.Step-by-step explanation: