Answers
Answer :
hyp² = base² + perp²
by putting the values we get
10² = 8² + perp²
100 = 64 + perp²
taking 64 to left side.
100 - 64 = perp²
36 = perp²
Now taking underroot on both sides we get
[tex] \sqrt{36 \: } = \sqrt{perp { }^{2} } [/tex]
therefore
6 = perp
perp is x in the above solution.
The solution is x = 6
The value of x in the triangle is x = 6
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Given data ,
Let the triangle be represented as ABC
Triangle ABC is a right triangle
Now , the measure of sides of the triangle are
The measure of side AB = x
The measure of side BC = 8
The measure of side AC = 10
Now , For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Substituting the values in the equation , we get
AC² = AB² + BC²
10² = x² + 8²
Subtracting 8² on both sides of the equation , we get
x² = 10² - 8²
x² = 100 - 64
x² = 36
Taking square roots on both sides of the equation , we get
x = 6
Therefore , the value of x is 6
Hence , the measure of side AB of the triangle is x = 6
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Related Questions
HELP QUICK WILL GIVE BRAINLIEST
Answers
Answer:
I gave the answers to the first four problems.
Step-by-step explanation:
1) LAB=40°
2) angle 3= 57°
3) x=25°
4) y= 29°
Find the value of x. Then find the measure of each labeled angle.
Answers
Step-by-step explanation:
Question?
Gabrielle’s age is two times Mikhail’s age. The sum of their ages is 36. What is Mikhail’s age?
Answers
2x=36
divide both sides by two and the answer you get is 18.
To check your answer you can just do 18+18 and that equals 36, which is the sum of their ages, as stated in the question.
A rectangular garden is fenced on all sides with 278 feet of fencing. The garden is 9 feet longer than it is
wide. Find the length and width of the garden.
Answers
Answer:
Length = 74 feet,
Width = 65 feet
Step-by-step explanation:
If length = l, width = w;
l = 9 + w (Given)
2l + 2w = 278 (Definition of perimeter)
Substitute "9 + w" for l in the second equation;
2(9 + w) + 2w = 278 -> Distribute the "2"
18 + 2w + 2w = 278 -> Combine like terms
18 + 4w = 278 -> Subtract 18 on either side
4w = 260 -> Divide either side by 4
w = 260/4 = 65 feet
l = 9 + 64 = 74 feet
HELPPP!!!! It’s due tmmr
Answers
Answer:
total of 482
Step-by-step explanation:
He sold 1940
20% on first 500
500 *.20 = 100 commission
Then 25% on the next 1000
1940 -500 = 1440 left
He has 1000
1000 * 25%
1000*.25 = 250 commission
1440-1000 = 440 left
440 at 30%
440*.30 =132 commission
Add together
100+250+132 = 482
Is 7 8/11 a terminate or a repeat
Answers
60 5/6 + 54 1/3 + 56 1/6 + 59 1/3 pls help
Answers
Answer: Is 174.333333333 Hope this helps! and pls give me brainliest i need it
Step-by-step explanation:
5 yüz binlik 2 binlik 4 yüzlükten oluşan
altı basamaklı doğal sayı kaçtır?
Answers
Answer:
wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww
A teacher asks her students to fill out a survey about themselves. Which
piece of data would be considered categorical data?
A. Number of siblings
B. Age
C. Hair color
D. Height
Answers
The categorical data, in this case, refers to information that can be sorted into specific categories or groups. Among the options provided, hair color would be considered categorical data.Option c is correct
Hair color falls into distinct categories such as blonde, brown, black, red, or other variations. It is a qualitative characteristic that cannot be measured on a numerical scale.On the other hand, the other options can be classified as numerical data.
The number of siblings (option A) and age (option B) are both quantitative variables that can be represented numerically. They can be counted or measured using specific numerical values. Similarly, height (option D) is a quantitative measurement that can be expressed using numbers or units of length.
In summary, while number of siblings, age, and height are numerical data, hair color is an example of categorical data as it falls into distinct categories or groups.Option c is correct.
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HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
Hello, I think you forgot to attach a picture
Step-by-step explanation:
When you're about ask a question there's a little thing that looks like a paper clip then you press that and attach your picture :)
A job posting is searching for runway models to walk in a designer fashion show. The posting states that the preferred model should be no more than 2 inches away from being 5 feet 11 inches. Write and solve an absolute value inequality that can be used to determine the height range, in inches, of a preferred model. Graph the solution set on a number line.
Answers
Answer:
70 ≤ x ≤ 74
Step-by-step explanation:
5 feet 11 inches = (5 x 12 inches) + 11 inches
= 72 inches
Since the preferred model should not be no more than 2 inches away from 72 inches, then;
72 inches ± 2 inches
Let the required height be represented by x, the absolute value inequality is;
lx ± 2l ≤ 72
x + 2 ≤ 72
x ≤ 72 - 2
x ≤ 70
Also,
x - 2 ≤ 72
x ≤ 72 + 2
x ≤ 74
Therefore, the preferred height range in inches is;
70 ≤ x ≤ 74
The graph is herewith attached to this answer.
I need help, how do I do this?
Answers
The answer is 128 because 4·4·4+8·8=128
Find the distance between the two numbers on a number line. Write your answer as a decimal.
-1.85 , 7.36
Answers
Answer:
9.21
Step-by-step explanation:
I'm pretty sure you just add the two numbers as positive numbers :/
The required distance on the number line between the points -1.85 and 7.36 is 9.21.
Given that,
To determine the distance between the two numbers on a number line points are -1.85 and 7.36.
A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.
Here,
On the number line, -1.85 lies on the left of the zero, and 7.36 lies on the right so the required distance would be the addition of the two points. So,
Distance = 7.36 - (-1.85)
Distance = 7.36 + 1.86
Distance = 9.21
Thus, the required distance on the number line between the points -1.85 and 7.36 is 9.21.
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Enter the sum of numbers as a product of their GCF.
30 + 36
The sum of the numbers as a product of their GCF is
Answers
Their GCF is 6 and the sum is 66
Step-by-step explanation:
A line has slope 3 and y-intercept 4.
Which answer is the equation of the line?
O y = 3x + 4
Oy= 3x -4.
O y= 3/4x-4
O y = 4x + 3
Answers
Answer:
y = 3x +4
Step-by-step explanation:
In slope-intercept form, the equation of a line is ...
y = mx + b
Where m is the slope (3) and b is the y-intercept (4).
Putting the given numbers in the equation, it becomes ...
y = 3x +4
Hey, did you hear what Joe did?
Answers
Answer:
joe?
Step-by-step explanation:
Ninety children signed up
for a field trip to a museum
On the field trip, the ratio of
adults to children must be 1:6.
So far, 11 adults are going on
the field trip. How many
More adults are needed?
Answers
4 more adults are needed
90 ÷ 6 = 15
15 - 11 = 4
Four different paints are advertised as having the same drying time. To check the manufacturer's claims, five samples were tested for each of the paints. The time in minutes until the paint was dry enough for a second coat to be applied was recorded. The following data were obtained.
Excel or Minitab users: The data set is available in file namedPaint.
Paint 1 Paint 2 Paint 3 Paint 4
128 144 133 150
137 133 143 142
135 142 137 135
124 146 136 140
141 130 132 153
At the = .05 level of significance, test to see whether the mean drying time is the same for each type of paint. Compute the values identified below:
1. Sum of Squares,Treatment
2. Sum of Squares,Error
3. Mean Squares,Treatment
4. Mean Squares,Error
Answers
Answer:
(1) 330
(2) 692
(3) 110
(4) 43.25
Step-by-step explanation:
The data provided is for the dying time of four different types of paint.
One-way ANOVA can be used to determine whether all the four paints have the same drying time.
Use Excel to perform the one-way ANOVA.
Go to Data → Data Analysis → Anova: Single Factor
A dialog box will open.
Select the data.
Select "Grouping" as Columns.
Press OK.
The output is attached below.
The required values are as follows:
(1)
Sum of Squares of Treatment (Between Subjects):
SST = 330
(2)
Sum of Squares of Error (Within Subjects):
SSE = 692
(3)
Mean Squares Treatment (Between Subjects):
MST = 110
(4)
Mean Squares Error (Within Subjects):
MSE = 43.25
Bill hikes 8 miles in 3 hours. At this rate. how many miles will he hike after 2 hours?
Answers
Answer:
5 1/3 miles
Step-by-step explanation:
We can use a ratio to solve
8 miles x miles
------------ = --------
3 hours 2 hours
Using cross products
8*2 = 3x
16 = 3x
Divide by 3
16/3 = 3x/3
5 1/3 miles =x
Answer: [tex]5 \frac{1}{3}[/tex] miles
For the rate of 8 miles in 3 hours, you divide.
For the rate of - miles in 2 hours, multiply.
8 x 2 = 3x
16 = 3x
Now, we have to divide by 3x by 3.
3x divided by 3 = 5 1/3
Answer = 5 1/3
Shawna wants to purchase some shorts and a few pairs of socks. The shorts cost $10 and a pair of socks cost three dollars. Shawna can spend them no more than $45.
Let’s see represent the number of shorts purchased and Kay represent the number of pairs of socks purchased.
Which in quality represents the situation?
Answers
Answer:
The answer - C
Step-by-step explanation:
c- number of shorts
k - number of socks
10 shorts and 3 socks
10c+3k
no more than $45
no more than is a characteristic of less than or equal to.
10c+3k ≤ 45
And obviously, that isn't an answer choice so you have to switch the sign so it looks like this:
45≥10c+3k
The value of y is directly PROPORTIONAL to the value of x. If y=44 when x= 240, what is the value of y when x=84?
Answers
If you need the answer in fraction form, then it would be 77/5
This is equivalent to the mixed number 15 & 2/5
======================================================
Work Shown:
y = k*x ..... general direct proportion equation
44 = k*240 .... plug in x = 240 and y = 44
240k = 44
k = 44/240
k = 11/60 .... divide both parts by 4
y = k*x .... go back to the general form
y = (11/60)x .... plug in the k value we found earlier
y = (11/60)*84 .... plug in x = 84
y = 15.4
---------------
Extra info:
15.4 = 15 + 0.4
15.4 = 15 + 4/10
15.4 = 15 + 2/5
15.4 = 15 & 2/5 .... mixed number form
and
15.4 = 15 + 2/5
15.4 = 75/5 + 2/5
15.4 = (75+2)/5
15.4 = 77/5 ... improper fraction
line A and B are parallel. line C and D are parallel. Line D is perpendicular to line B . therefore line C is ? to line A
Answers
Answer:
C is Perpendicular to A
Step-by-step explanation:
Point G(-3,2) is translated using the rule (x+10, y-6). What is the x-coordinate of G'? Enter your answer in the box.
Answers
Answer:
7 is the Anwser
Step-by-step explanation:
Which mapping best represents the function f(x) = 2x2 + 5x + 3 when the domain is {–1, 0, 3}?
Answers
Answer:
Step-by-step explanation:
Given the function f(x) = 2x^2 + 5x + 3 with the domain {-1, 0, 3}, to get the mapping that best represents the function, we will have to find the codomain of the function given by substituting the domain values into the function;
when x = -1
f(-1) = 2(-1)^2 + 5(-1)+ 3
f(-1) = 2 - 5+ 3
f(-1) = 0
when x = 0
f(0) = 2(0)^2 + 5(0)+ 3
f(0) = 0+0+ 3
f(0) = 3
when x = 3
f(3) = 2(3)^2 + 5(3)+ 3
f(3) = 18+15+ 3
f(3) = 36
Hence the mapping is {0,3,16}
Please help ASAP HELP!
Answers
Answer:
Step-by-step explanation:
You equal both angles to each other and solve. You should get x=5, the you plug in x giving you 44 for both angles and 88 for ABC
anyone mind helping? i want to sleep Given: BA is congruent to BC prove angle 1 is congruent to angle 3.
Answers
Answer:
Given that BA = BC which shows that ΔABC is isosceles
And, ∠1 Represents BC
and, ∠2 Represents BA
And as BC and BA are equal, we come to know that ∠1 and ∠2 are equal
∠2 = ∠3 because they are opposite angles.
Therefore we can conclude that ∠1 and ∠3 are congruent because ∠1 =∠2 which ∠2 = ∠3 So, ∠1 = ∠3
If my answer helped, please mark me as the brainliest!!
Thank You!
Answer:
see below
Step-by-step explanation:
since ∠1 ≅ ∠2
opposite angles are equal
therefore, ∠2 ≅ ∠3
0.00000512 in scientific notation
Answers
Answer:
5.12 x 10 -6
Step-by-step explanation: I’m pretty sure
Which values will complete the table.
A
B
C
Answers
Answer:
A=8
b=15
c=40
Step-by-step explanation:
5/8 as well as 10/16 = .625
a=8 blocks for 5 min given in question
b:24*0.625=15
c:25*40=.625 or 8 * 5=40 , since 5×5=25 taking 1st column times 5
Mr ,Smith buying pens and pencils for his classroom.Pens (x) cost $5 per pack and pencils (y) cost $4 per pack-he needs to spend $40 or more to get free shipping
Answers
Answer:
breathe in
Step-by-step explanation:
The opposite of an integer is always negative.
Answers
Answer:
False
Step-by-step explanation:
To find the opposite of an integer, we just change its sign. If it is negative, change to positive. If it is positive change to negative. Opposite integers are the pairs of integers that have the same absolute value, or the same distance from zero. The sum of two opposites is always zero.
Hope this helps :)