Answers
Answer:
x = 10
Step-by-step explanation:
8² + 6² = x²
64 + 36 = x
64 + 36 = 100
√100 = 10
[tex]\huge\bold{To\:find:}[/tex]
✎ The length of the hypotenuse ''[tex]x[/tex]".
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]\sf\purple{The\:length\:of\:the\:hypotenuse \:"x"\:is\:10.}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
Using Pythagoras theorem, we have
[tex] ( {hypotenuse})^{2} = ( {perpendicular})^{2} + ( {base})^{2} \\ ⇢ {x}^{2} = {6}^{2} + {8}^{2} \\ ⇢ {x}^{2} = 36 + 64 \\ ⇢ {x}^{2} = 100 \\ ⇢ x = \sqrt{100} \\ ⇢x = \sqrt{10 \times 10} \\ ⇢x = \sqrt{ ({10})^{2} } \\ ⇢x = 10[/tex]
[tex]\sf\blue{Therefore,\:the\:length\:of\:the\:hypotenuse\:is\:10.}[/tex]
[tex]\huge\bold{To\:verify :}[/tex]
[tex] {x}^{2} = {6}^{2} + {8}^{2} \\⇝ ({10})^{2} = 36 + 64 \\ ⇝10 \times 10 = 100 \\ ⇝100 = 100 \\ ⇝L.H.S.=R. H. S[/tex]
Hence verified. ✔
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
Related Questions
A bookcase has a mass of 20 kilograms. A book in the bookcase has a mass of 500 grams.
How many books of the same mass would it take to equal the mass of the bookcase?
Enter your answer in the box
Answers
Answer:
40 books
Step-by-step explanation:
Divide 20 kg by 500 g, or, alternatively, divide 20 kg by 0.5 kg.
Either way, the result is 20/0.5, or 40.
40 books of the same mass would have the same mass as the bookcase.
Hope this helps :)
Answer:
40
Step-by-step explanation:
.5kg*40=20kg
40 books
Solve for x. Round to the nearest tenth, if necessary.
P
29°
х
Q
-6.6
R
Answers
Answer:
The x in this question is 151 degrees
Answer:
13.6
Step-by-step explanation:
A cable is 30 meters long. How long is the cable in decimeters?
Answers
What is the measure of the reference angle for a 112 degrees angle?
Answers
Answer:
68
Step-by-step explanation:
A P E X
Pls show your work to answer the question.
Answers
Answer:
∠ EDC = 55°
Step-by-step explanation:
Since Δ ADE is isosceles then the 2 base angles are congruent , then
∠ EDA = [tex]\frac{180-20}{2}[/tex] = [tex]\frac{160}{2}[/tex] = 80°
Similarly for Δ BCD
∠ CDB = [tex]\frac{180-90}{2}[/tex] = [tex]\frac{90}{2}[/tex] = 45°
The 3 angles on AB sum to 180° , that is
80° + ∠ EDC + 45° = 180°
∠ EDC + 125° = 180° ( subtract 125° from both sides )
∠ EDC = 55°
mrs. wilson placed the welcome mat shown below on her front door step. what is the area of her welcome mat in square feet?
Answers
Answer:
12.56 square feet
Which pairs of fractions can be added using the given common denominators
Answers
Answer:
#2
Step-by-step explanation:
A test was given to 120 students, and the scores approximated a normal distribution If
the mean score was 72 with a standard deviation of 7, approximately what percent of the
scores were 65 or higher?
Answers
Answer:
84.13% aka. 101/120 students
Step-by-step explanation:
P(X>65) = normalcdf(65,100,72,7) = 0.8413130544 ≈ 0.8413 ≈ 84.13%
Therefore, about 84.13% of the scores were 65 or higher, meaning that about 101 students got a score of 65 or higher.
84% of students have a score of 65 or higher.
What is Normal Distribution?'Normal distribution is a continuous probability distribution wherein values lie in a symmetrical fashion mostly situated around the mean.'
According to the given problem,
For this sum, the mean and standard deviation are mentioned.
Mean = 72
S.D = 7
We will be using the bell curve of normal distribution for solving this sum.
Area under the curve that represents more than 65:
= 34% + 34% + 13.50% + 2.35% + 0.15%
= 84%
Hence, we can conclude that 84% of the scores were 65 or higher.
Learn more about normal distribution: https://brainly.com/question/13759327
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What is area? how is the mass of a body? Write its si unit.
Answers
Answer:
The total quantity of matter contained in an object is called its mass.
It is scalar quantity.
It is measured by beam balance.
Mass of the object remains constant at all the places.
We can measure mass of an object by its inertia.
SI unit of mass is ”kg”.
brainlest answer plz ..
Find the GCF of the expression 24a^7 +18a^5+12a^3
Answers
Answer:
the correct answer is 6a³
Answer:
6a³
Step-by-step explanation:
First find the GCF of the numbers, which is the easy part...
The largest number that 24, 18, and 12 can all be divided by is 6.
So 6 is the first part of the GCF.
Now for the variable...
The smallest exponent in an instance of the variable is 3.
So a³ is the variable part.
GCF: 6a³
Which fraction is equal to 7/-9? A. -7/9 B. -7/-9 C. 7/--9 D. --7/9
Answers
Answer:
A = -7/9
Step-by-step explanation:
7 / -9
Move the negative to the top
-7 / 9
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\text{A) }\frac{-7}{9}[/tex]
»»————- ★ ————-««
Here’s why:
We can apply the rules for products and quotients of values with different signs. If the signs of two numbers are the same, then the product/quotient would be positive. If the signs are different, the sign of the product/quotient would be negative.⸻⸻⸻⸻ [tex]\boxed{\text{Equivalent Faction}}\\\\\rightarrow \frac{7}{-9}= -0.77777...... \leftarrow\\\\------------\\\text{Option A: } \frac{-7}{9} = -0.77777......\\\\\text{Option B: } \frac{-7}{-9}= 0.77777......\\\\\boxed{\text{Recall that if two numbers have the same sign then the product or quotient would be positive.}}\\\\\text{Option C: }\frac{7}{-(-9)}=\frac{7}{9} = 0.77777......\\\\\text{Option D: } \frac{-(-7)}{9}=\frac{7}{9} = 0.77777......[/tex]⸻⸻⸻⸻
Option A's fraction is equivalent.
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Tyleris making invitations to the fair. He has already made some of the invitations, and he wants to finish the rest of them within a week. He is trying to spread out the remaining work,to make the same number of invitations each day. Tylerdrawsa diagram to represent the situation.
Answers
Answer:
Tyler should make 8 a day. You do 122-66 which is 56 and there are 7 days in a week so 56 divide by 7 is 8.
Tyler has to make 8 invitations each day.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
Given that,
Total number of invitations to the fair = 122
Already, 66 invitations has been made.
Remaining invitations = 122 - 66 = 56
56 invitations has to be made in a week or 7 days.
Let x be the number of invitations made each week.
x = 56 / 7 = 8
Hence 8 invitations has to be made each day.
Learn more about Equations here :
https://brainly.com/question/30066982
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Your question is incomplete. The complete question is as follows.
Tyler is making invitations to the fair. He has already made some of the invitations, and he wants to finish the rest of them within a week. He is trying to spread out the remaining work, to make the same number of invitations each day. Tyler draws a diagram to represent the situation.
The total of the x's and 66 is 122.
How many total invitations is Tyler trying to make?
Oscar is buying soil for his plants. He needs to fill one pot with 8 cups of soil and another pot
with 3 gallons of soil. If the price of soil is $2.50 per quart, how much, in dollars, will he pay in
all? You may use the conversions to help you answer the question.
Answers
Answer:
10
Step-by-step explanation:
2.50 4 times
Answer: 10
Step-by-step explanation:
Which expression represents the volume, in cubic units,
of the shaded part of the sphere?
4/3(10) + 4/3(4)
4/3(10) - 4/3 (4)
4/3(20) + 4/3 (4)
4/3(20) - 4/3 (4)
Answers
Answer:
B
Step-by-step explanation:
we have to subtract the volume of the biggest one from the volume of the smallest one
for find the volume it is used the radius, not the diameter
A swimmer covers 180m in 20 seconds. How many metres does she swim in one second?
Answers
Answer:
She swims 9m in one second
Step-by-step explanation:
Statiscal or non statistical????
I will mark brainlest
I will report who ever sends me a link
Please only accurate answers
Answers
Answer:
Statiscal
Step-by-step explanation:
A statistical question is a question that can be answered by collecting data that vary. and this question can have more then one varitve of answers
A charity says, For every pound you give, we spend 75p on charity work, 24p on advertising and 1p on office work.
Hassan gives £150 to the charity.
How much of this will be spent on office work?
Answers
Answer:
1.5
Step-by-step explanation:
So 1% goes on office work
and 1%=0.01
Then we can multiply 0.01 by 150 to get the answer:)
plz give brainliest:)
Find the line of inclination of the line if its slope is -√3
Answers
Answer:
120° or 300°
Step-by-step explanation:
Given,
Slope (m) = -√3
Inclination (α) = ?
Now,
We know,
m = tanα
or, -√3 = tanα
or, tan(120° or 300°) = tanα
∴ α = 120° or 300°
∴ Inclination is 120° or 300°
Please help!!! Will give brainliest!
Answers
Answer:
im pretty sure its a but i could be wrong ✋
7.
A. [tex]y=\frac{1}{3}x^2, y=-9x^2, y=-\frac{1}{2}x^2[/tex]
B. [tex]y=-\frac{1}{2}x^2, y=\frac{1}{3}x^2, y=-9x^2[/tex]
C. [tex]y=-9x^2, y=\frac{1}{3}x^2, y=-\frac{1}{2}x^2[/tex]
D. [tex]y=\frac{1}{3}x^2, y=-\frac{1}{2}x^2, y=-9x^2[/tex]
Answers
Answer:
D
Step-by-step explanation:
Pythagorean theorem please show work thank you
Answers
Answer:
Step-by-step explanation:
what is the value of x if x =32
Answers
Answer:
32
Step-by-step explanation:
you gave me the answer :)
Answer:
32
Step-by-step explanation: its in your question
A plastic sack contains 20 green and yellow, 14 red and yellow, and 16 orange and yellow gummy treats. How much greater is the probability you will randomly select a green and yellow treat that an orange and yellow treat?
Answers
Answer:
Probability of choosing green and yellow treat is higher than Probability of choosing an orange and yellow treat by 0.08
Step-by-step explanation:
Given -
Green and yellow gummy treats = 20
Red and yellow gummy treats = 14
Orange and yellow gummy treats = 16
Total gummy treat = 20+14+16 = 50
Probability of choosing green and yellow treat = 20/50 = 0.4
Probability of choosing an orange and yellow treat = 16/50 = 0.32
Probability of choosing green and yellow treat is higher than Probability of choosing an orange and yellow treat by 0.08
James' grades on his last five tests were 93, 95, 89, 95, and 100. What does he need to make on his last test to have a mean (average) of exactly 95?
Answers
Answer: 98
Step-by-step explanation:
First find the mean of the numbers you currently have.
93 + 95 + 89 + 95 + 100
and divide by 5 to get 94.4.
Now you need to find the extra number.
The number has to be higher than 94. I know there is an easier way, but I started by adding 100 and kept going down til I was at 98.
93 + 95 + 89 + 95 + 100 + 98
divided by 6 is 95
Write the word sentence as an equation. 12 less than a number m equals 20.
Answers
Answer
Equation: m - 12 = 20
Use the diagram of the right triangle above and round your answer to the nearest hundredth.
If Measure of angle B = 60 degreesº and a = 10 meters, find b.
Answers
Answer:
awnser c
Step-by-step explanation:
The Astros scored 4 touchdowns worth 7 points each
They also scored 3 field goals worth 3 points each.
The Rams scored 5 touchdowns and I field goal.
Who won the game?
Answers
4 x 7 = 28 (touchdowns)
3 x 3 = 9. (field goals)
28+9= 37 pts total for astros
5 x 7 = 35 (touchdowns)
1 x 3 = 3 (field goals)
35+3 = 38 points total for The Rams.
I need help with this
Answers
Answer:
1/5
Step-by-step explanation:
assuming all wedges are the same size, and there are five of them, in theory each color has an equal chance of being landed on
William discovers that the number of nuts in a bag of cashews is normally distributed with mean 42 and standard deviation 4. If he buys 200 bags, how many of them can he expect to contain fewer than 34 nuts?
Answers
Answer:
4.56, so he should expect between 4 and 5 of them to contain fewer than 34 nuts.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean 42 and standard deviation 4.
This means that [tex]\mu = 42, \sigma = 4[/tex]
Proportion with fewer than 34 nuts:
p-value of Z when X = 34. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{34 - 42}{4}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a p-value of 0.0228.
Out of 200 bags:
0.0228*200 = 4.56.
4.56, so he should expect between 4 and 5 of them to contain fewer than 34 nuts.
What is the answer to the expression? Use Distributive Property to solve the expression.
2(35x + 15)
Answers
2 times 15 =30
70x+30