Answers
[tex]\text{Find the one bottom side of the triangle first}\\\\\text{We know that the total length is 21, but part of it is 11, so subtract}\\\\21-11=10\\\\\text{Divide 10 by 2 because there are two sides for two triangles}\\\\10\div2=5\\\\\text{Now, since we know two of the sides, we would plug in the values}\\\text{into the Pythagorean theorem and solve:}\\\\5^2+b^2=13^2\\\\25+b^2=169\\\\\text{Subtract 25 from both sides}\\\\b^2=144\\\\[/tex]
[tex]\text{Square root both sides}\\\\\sqrt{b^2}=\sqrt{144}\\\\b=12\\\\\text{This means that x = 12}\\\\\boxed{x=12}[/tex]
Related Questions
What is the area of the base
Answers
in a group of students the ratio of the number of students who liked music and sport is 9:7. out of which 25 liked both the activities, 20 liked music only and 15 liked none of the activities .
i)find the total number of students in group
Answers
Answer:
Hello,
Total number : 70
Step-by-step explanation:
20 + 25 = 45
45 liked music
X liked sport only
X + 25 liked sport
45 / 9 = (X + 25) / 7 ⇔ 7 x 5 = X + 25 ⇔ X = 35 - 25 ⇔ X = 10
10 liked sport only
Total students in group : 45 + 10 + 15 = 70
In a group of students the ratio of the number of students who liked music and sport is 9:7. out of which 25 liked both the activities, 20 liked music only and 15 liked none of the activities. 70 is the total number of students in group.
What is mathematical ratio?
An ordered pair of integers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion constitutes a equation that sets two ratios at the same value.
Ratios contrast two figures by typically dividing them. A/B would be your formula if you were evaluating one data point (A) to another data point (B). This indicates that you are multiplying information A by information B. For instance, your ratio are going to be 5/10 if A is 5 and B is 10.
20 + 25 = 45
45 liked music
X liked sport only
X + 25 liked sport
45 / 9 = (X + 25) / 7 ⇔ 7 x 5 = X + 25 ⇔ X = 35 - 25 ⇔ X = 10
10 liked sport only
Total students=45 + 10 + 15 = 70
Therefore, 70 is the total number of students in group.
To know more about mathematical ratio, here:
https://brainly.com/question/20387079
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7(5+2x)+x=65 someone please help me with this equation
Answers
Answer:
x=2
Step-by-step explanation:
7(5+2x)+x=65
35+14x+x=65
35+15x=65
15x=65-35
15x=30/15
x=2
Answer:
x=2
Step-by-step explanation:
7×5=35
7×2x=14x+=65
so the equation would be
35+14x+x=65
add the variables together so:
35+15x=65
subtract 35 from 65 which makes it 30 so:
15x=30
now divide both sides by 15
which makes the anwer x=2
j/-2 + 7 = -12 Please help guys!
Answers
Answer:
j=38
Step-by-step explanation:
j/-2+7=-12
j/-2=-19
j=38
Which expressions to 4.25-(-8)
Answers
If you're asking to simplify or solve, the answer is:
4.25 - (-8) = 12.25
Prove that DJKL~ DJMN using SAS Similarity Theorem. Plot the points J (1,1), K(2,3), L(4,1) and J (1,1), M(3,5), N(7,1). Draw DJKL and DJMN.
Answers
Answer and Step-by-step explanation: The triangles are plotted and shown in the attachment.
SAS Similarity Theorem is by definition: if two sides in one triangle are proportional to two sides of another triangle and the angles formed by those sides in each triangle is congruent, the triangles are similar.
For the triangles on the grid, we know that ΔJKL and ΔJMN have a congruent angle in J as shown in the image. To prove they are similar, we find the slope of sides KL and MN:
Slope of KL:
slope = [tex]\frac{y_{K} - y_{L} }{x_{K} - x_{L} }[/tex]
slope = [tex]\frac{3-1}{2-4}[/tex]
slope = -1
Slope of MN:
slope = [tex]\frac{y_{N} - y_{M} }{x_{N} - x_{M} }[/tex]
slope = [tex]\frac{1-5}{7-3}[/tex]
slope = -1
Since the slopes of KL and MN are the same and the angle is congruent, we can conclude that ΔJKL~ΔJMN.
A carpenter leans an extension ladder against a house to reach the bottom of a window 30 feet
above the ground. As shown in the diagram below, the ladder makes a 70° angle with the ground.
To the nearest foot, determine and state the length of the ladder.
Answers
Answer:The answer will be 35ft
Step-by-step explanation:
One way that you can answer this is by using sin law. You will put the length of a side on top and the corresponding angle that faces towards that side at the bottom of a fraction. So for this one it will be 30/sin(70) = x/sin(90) The 90 comes from the bottom of the building with the ground. And the side the angle faces is the ladder. After that you put 30sin(90)/sin(70) to find x. And you get 34.655 which rounds to 35 ft.
one hundred fifty moviegoers were surveyed, 20% said they would recommend the movie they just saw. how many of the moviegoers said they recommend the movie?
Answers
Answer:
30 moviegoers
Step-by-step explanation:
1% of 150 is 1.5
20% of moviegoers recommend the movie
1.5 times 20 = 30
Jocelyn has 6 birds. Their mean age is 10. The mode of their age is 8 . What might there ages be ??.
Subject - Math ( Mean, Median, and Mode ) PLZ write the answer correctly !! The best answer will be marked as Braintlies !!
Answers
Answer:
The mode of the age is 8 so their will be 3 birds with the age of 8 and 1 bird with the age of 14 and one bird with the age of 12 and another bird with the age of 10.
Step-by-step explanation:
If (A:20:4:16) is a proportion the find out the value of A fastly
Answers
Answer: A = 5
Step-by-step explanation:
I'll rewrite this as fractions.
[tex]\frac{A}{20}=\frac{4}{16}[/tex]
Solve for A,
[tex]A=\frac{20*4}{16}\\ A=\frac{80}{16}[/tex]
[tex]A=5[/tex]
if there are 5 apples to every 3 oranges in a bin which graph represents the proportional relationship of the fruit in the bin
Answers
Answer:
the graph can be x-y=2
Step-by-step explanation:
Answer:
The answer is D
Step-by-step explanation:
I took the test
also you should show the graph so that people who didnt take the test can also answer
(oﾟvﾟ)ノ
A math tutor earns $40 an hour tutoring teenagers. Sometimes he will meet with two students at once and get paid $80 per hour total. Is this a linear model or an exponential model?
Answers
Answer:
It should be linear if you let the variable t represent the time tutoring for ONE student, so y = 40*t where t = number of hours for ONE student
so if the tutor taught 2 students for 2 hours together, then t = 2*2 = 4 hours
Step-by-step explanation:
y = 40t
t = tutoring hours for ONE unique student...
La suma de dos números es 135 y su diferencia 37, hallar los dos números
Answers
Answer- 86 and 49
Step-by-step explanation: 86+49=135
86-49=37
There are 4 red, 6 green, and 5 yellow pencils in a jar. Once a pencil is selected, it is not replaced. Find the probability. Give your answer as a fraction in simplest form, a decimal to the nearest hundredth, and the nearest whole percent. P( red and then yellow)
Answers
Answer:
2/21 or 9.52%
Step-by-step explanation:
The first thing is to calculate the total number of pencils.
4 + 6 + 5 = 15
Which means that in total there are 15 pencils.
Now the probability of drawing a red pencil is then:
4/15
Without that red pencil, then we have one less pencil in general, that is, 14, so the probability of drawing a yellow is:
5/14
The final probability would then be:
4/15 * 5/14 = 20/210 = 2/21
Now that equals 0.0952, which means that the probability is 9.52%
A train travels at a constant speed of 130 miles per hour. Write an equation that can be used to determine the number of miles, m, the train will travel in h hours.
Michael’s Equation: h = 130m
Describe why Michael’s equation does not correctly model the problem.
Answers
Answer: m=130h
Step-by-step explanation:
130 miles per hour.
number of miles (m) the train will travel in (h) hours.
m=130h
what is the slope of the line below? If necessary, enter your answer as a fraction in lowest terms, using the slash as the fraction bar. Do not enter your answer as a decimal number or an equation. (3, 9) (1, 1)
Answers
Answer:
The slope of the graph is equal to 4
Step-by-step explanation:
When you do y2-y1 divided by x2-x1 you get the fraction 8/2 however when simplified you get 4, 8/2=4
Answer:
The slope is 4
Step-by-step explanation:
Why? Because the point (3,9) is labeled as x1 and y1 and the point (1,1) is labeled as x2 and y2, which means that the equation is set up as 1-9 / 1-3, which equals -8 / -2 , which turns out to be 4 when it is simplified. :)
The parallelogram does not have right angles. Its area is
less than ab.
equal to ab.
greater than ab.
Answers
Answer:
equal to ab
Step-by-step explanation:
The area of a parallelogram is Area = ab
therefore, the area is ab
Answer:
Less than ab
Step-by-step explanation:
When Zeke and Jackson were running their group physics experiment, for each measurement needed they both recorded observation and then averaged the results. This was an attempt on their part to reduce the amount of which of the following types of variability?
A) Induced variability
B) Sample variability
C) Measurement variability
D) Natural variability
Answers
How would I solve this? Can I get steps?
Answers
Answer:
p = ± q / 5r + 8; Option D
Step-by-step explanation:
We are given the following equation; q^2 / p^2 - 16p + 64 = 25r^2;
q^2 / p^2 - 16p + 64 = 25r^2 ⇒ Let us factor p^2 - 16p + 64, as such,
p^2 - 16p + 64,
( p )^2 - 2 * ( p ) * ( 8 ) + ( 8 )^2,
( p - 8 )^2 ⇒ Now let us substitute this into the equation q^2 / p^2 - 16p + 64 = 25r^2 in replacement of p^2 - 16p + 64,
q^2 / ( p - 8 )^2 = 25r^2 ⇒ multiply either side by ( p - 8 )^2,
q^2 = 25r^2 * ( ( p - 8 )^2 ) ⇒ divide either side by 25r^2,
q^2 / 25r^2 = ( p - 8 )^2 ⇒ Now apply square root on either side,
| p - 8 | = √( q^2 / 25r^2 ) ⇒ Simplify,
| p - 8 | = q / 5r,
| p | = q / 5r + 8,
Answer; p = ± q / 5r + 8; Option D
A boat is anchored 2.2 km due south of a lighthouse. Along the shore, the town of Beachton is 16.8 km due east of the lighthouse. Enter a number in the box to correctly complete the statement. Round the answer to the nearest tenth. The distance from the boat to Beachton is 16 point 9 km
Answers
Answer:
16.9 km
Step-by-step explanation:
From the diagram attached, we can see that the problem forms a triangle.
So, to find the distance(d) from the boat to Beachton , we can make use of Pythagoreas theorem.
Thus;
d² = 16.8² + 2.2²
d² = 282.24 + 4.84
d² = 287.08
d = √287.08
d = 16.9434
Approximating to the nearest tenth, we have;
d ≈ 16.9 km
1. Remember, evaluate means to plug in the value for the specified
variable.
w
Evaluate: (x - 3)2 + 2x - 4 for x = 5
Answers
Answer:
Value: 10
Step-by-step explanation:
1. Let us first write down the expression, changing it a bit to our convenience: 2(x - 3) + 2x - 4
2. Substitute this value of x into the expression as such:
2(5 - 3) + 2(5) - 4
3. Now we can approach this first part of the problem in two ways:
Option 1. distribute the 2 to the 5 and then the -3, in 2(5 - 3)
Option 2. subtract 3 from 5, then multiply 2 by that value
4. Given such, let us try the 2nd option for simplicity, and carry on with our calculations: 2(2) + 2(5) - 4
5. Now apply algebra and solve this expression:
2(2) + 2(5) - 4 = 4 + 10 - 4 = 14 - 4 = 10
You start a chain email and send it to 3 friends. The process continues and each of your friends forward the email to 3 other people. What is an expression for the nth term an?
Answers
Answer:
[tex]a_{n}=3^{n}[/tex]
Step-by-step explanation:
We can start solving this problem by making a list of the number of chain emails that are sent on each round:
Round one:
[tex]a_{1}=3[/tex]
which represents the three friends you send the mail to.
Round two:
[tex]a_{2}=3*3=9[/tex]
since each of your friends sends the mail to another three friends, then we multiply the original 3 friends by 3 to get a total of 9.
Round three:
[tex]a_{3}=3*3*3=9*3=27[/tex]
on the next round we multiply the previous 9 persons by 3 mails each giving us a total of 27 persons receiving the mail. A patter starts showing here. Notice that for each round we need to take the previous round number an multiply it by 3. When we have a number being multiplied by itself n times, we rewrite it as a power, so the expression for the nth term will be:
[tex]a_{n}=3^{n}[/tex]
which is our final answer.
Study the topographic map.
Which best describes the location of the picnic area?
X 877
Two creeks flow through the picnic area.
Several steep slopes are found inside the picnic area.
The elevation changes from 635 to 600 at the picnic area.
The highest point inside the picnic area has an elevation
of 859.
5
800
700
Equation
700
635
+ Picnic Area
600
Answers
Answer:
The correct answer is C) The elevation changes from 635 to 600 at the picnic area.
The property taxes on a home varies directly with the value of the home. Jack currently lives in a home worth $172,000 and pays $13,760 in taxes.
Answers
3. Six less than twice a number is 17. Which equation could be used to determine the
number, n?
A. 6-2n = 17
B. 2n-6 = 17
C. 6 - 7 n = 2n
D. 2n + 6 = 7
Answers
Answer & Step-by-step explanation:
n represents our number. So, twice a number would be 2n because twice means multiply by two.
When the problem says 6 less, then it means 6 less than 2n. So, it would look like 2n-6.
FInally, the problem says that all of this equals 17 so 17 would be the result.
So, you answer is 2n-6 = 17. This is answer choice B.
a number is rolled once and then rolled again. What is the probability of rolling a 3 followed by rolling a 6?
Answers
Answer:
2
Step-by-step explanation:
because if you multiply 3 by 2 it gives you six\
Answer:
the answer is 3-6
Step-by-step explanation:
pays $0.72\$0.72 $0.72 dollar sign, 0, point, 72 in sales tax. The sales tax rate is 6%6\% 6% 6, percent . What is the original price of the bracelet, before tax?
Answers
Complete Question
Casey buys a bracelet. She pays for the bracelet and pays $0.72 in sales tax. The sales tax rate is 6%. What is the original price of the bracelet, before tax?
Answer:
$12
Step-by-step explanation:
Let the original price of the bracelet before tax =x
Tax rate =6%
That means:
6% of x =$0.72
0.06x=0.72
Divide both sides by 0.06
x=$12
The original price of the bracelet, before tax is $12.
Two points are shown on the graph. What is the midpoint between these two points?
A) (1, 5)
B) (-1, 2)
C) (-2, 1)
D) (-5, -3)
Answers
Answer: C (-2,1)
Step-by-step explanation:
What is the range? 5,10,5,4,5,10,3,10
Help me pls
Answers
Answer: the answer is 7
Step-by-step explanation: the lowest number is 3 and the biggest one is 10 so you substract 10-3 and you get 7
Answer:
7.
Step-by-step explanation:
In order to find the range, you need to:
1. Arrange the set of numbers in order from smallest to largest.
2. Identify the smallest and largest numbers in the set.
3. Subtract the smallest number from the largest.
Therefore, your answer is 7.
Happy to help. :)
The ratio of the leg adjacent to an angle to the hypotenuse of a right triangle is
called the ____ of the angle.
A. sine
B. tangent
C. cosine
D. cosecant
Answers
Answer:cosine
Step-by-step explanation:
Some
Of
Her
Children
Are
Having
Trouble
Over
Algebra
SOH/CAH/TOA
Sin opp/hype cos adj/hyp tan opp/hyp
