Answer:
x=26
Step-by-step explanation:
We can use the Pythagorean theorem for this answer.
Pythagorean Theorem: a^2 +b^2 = c^2
We can see that both triangles are right triangles. We should first find the hypotonus of the bottom triangle.
So, we plug in the values.
6^2 +8^2 = c^2
36 +64 = c^2
c^2= 100
c= square root of 100
c=10
The hypotonus for the bottom triangle is equivalent to the base of the top triangle. Therefore, we can use the Pythagorean Theorem again.
10^2 +24^2= c^2
100+576+c^2
c^2 = 676
c= square root of 676
c= 26
The answer to the problem is 26.
Which system of inequalities is shown?
A y<x y>4 B y>x y
Given:
The graph of the system of inequalities.
To find:
The system of inequalities.
Solution:
In the given graph, we have two dotted boundary lines.
First boundary line is passes through (-1,1), (0,0) and (1,1), so it represents a proportional relationship and the equation of this boundary line is
[tex]y=x[/tex]
Second boundary line is a horizontal line passes through the point (0,4). So, the equation of this boundary line is
[tex]y=4[/tex]
Shaded portion lies below these boundary line and these boundary lines are dotted. So, the sign of inequity must be <.
The system of inequalities is
[tex]y<x[/tex]
[tex]y<4[/tex]
Therefore, the correct option is D.
PLEASEEEEEEEEEEEEE HELPPPPPPPPPP Mon wants to make 5 lbs of sugar syrup. How much water and how much sugar does he need to make 25% syrup?
Answer:
1.25 IB of sugar, 3.75 IB of water
Answer:
1.25lb of sugar , 3.75lb of water
Step-by-step explanation:
just trust me on this one :)
Fernando borrowed $38 to go to the country fair. He won $42 at the horse races, and then spent $12 trying to win a large stuffed animal. What is his financial situation now??
$68
Add 38 with 42 then subtract by 12 to find the total sum.
$38+$42=$80
$80-12=$68
Total: $68.
Read these sentences from the text.
Alex is not a smoker, but he lives near St. Louis, named the worst place in the U.S. for asthma sufferers by the Asthma and Allergy Foundation of America in 2009. The group rated St. Louis low for having poor air quality and because it doesn’t have as many laws as other places keeping indoor areas smoke free.
Based on this evidence, what can you conclude about asthma sufferers in St. Louis?
A. St. Louis is the only city in the United States where asthma is common.
B. Poor air quality and indoor smoking can cause problems for asthma sufferers.
C. Poor air quality and indoor smoking have no effect on asthma sufferers.
D. There are more asthma sufferers in St. Louis than any other city in America.
Answer: Hi! I would say it is D because the other answers really don’t make sense. And the passages said that they were rated low for air quality.
Step-by-step explanation:
I hope this helps!
Polygon ABCD has the following vertices:
Al-5, 4), B(1,4), C(6,-4), and D(-5, -4)
Calculate the area of the polygon.
a.48 units squared
b. 53 units squared
c. 68 units squared
d. 88 units squared
Step-by-step explanation:
By the Shoelace method,
Area of quadrilateral = 0.5|(-5)(4) + (1)(-4) + (6)(-4) + (-5)(4) - (1)(4) - (6)(4) - (-5)(-4) - (-5)(-4)|
= 0.5|(-20 - 4 - 24 - 20 - 4 - 24 - 20 - 20)|
= 0.5|(-136)|
= 0.5 * 136 = 68 units squared. (C)
Answer:
68 units squared C
Step-by-step explanation:
I took the test and I got a 100% with this answer.
Enter the value of n so that the expression (3y+1)+(2y+8) is equivalent to (ny+9)
The value of n is 5 + 8/y for that expressions (3y + 1) + (2y + 8) and (ny + 9) are equivalent.
What is an algebraic expression?An algebraic expression is consists of variables, numbers with various mathematical operations.
The given expressions are (3y + 1) + (2y + 8) and (ny + 9)
Also, both the expressions are equivalent to each other.
To find the value of n, equate expressions (3y + 1) + (2y + 8) and (ny + 9),
3y + 1 + 2y + 8 = n y + 1
5y + 9 = n y + 1
5y + 9 - 1 = n y
5y + 8 = n y
n = (5y + 8) / y
n = 5 + 8/y
The required value of n is 5 + 8/y.
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The cube root of r varies inversely with the square of s. Which two equations model this relationship?
Step-by-step explanation:
³√r =(k×1/s²)
³√r = k/s²
The equation given in the option which shows the relationship given in the question is ∛r = k/s²and [tex]\rm s^2 r^{1/3} = k[/tex], the correct options are B and C.
What is Inverse Variation?When a variable varies inversely with the other variable, i.e. on increasing one variable the other decreases is called Inverse Variation.
The statement for modelling the relation is
The cube root of r varies inversely with the square of s.
∛r ∝ (1/s²)
∛r = k/s²
Here k is the proportionality constant
The equations which model this relationship is given by ∛r = k/s²and [tex]\rm s^2 r^{1/3} = k[/tex].
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Sarah deposited $450 into an account that paid 2.1% in simple interest per year. If she made no additional deposits or withdrawals, how much interest did she earn after 5 year?
A $47.25
B $378.00
C $497.25
D $4.75
Answer:
B
Step-by-step explanation:
Complete the function table.
Function: f(x) = 6x + 1
х
f(x)
4
31
6
43
ASAP
Your dinner costs $21.50 before tax. If you used a fifteen percent off coupon
and then you are charged seven percent sales tax, what is your balance with tax?
Answer:
$19.55
Step-by-step explanation:
Discount = 15% of 21.50
= 0.15 * 21.50
= 3.225
= $ 3.23
Balance need pay = 21.50 - 3.23 = $ 18.27
Tax = 7% of 18.27
= 0.07 * 18.27
= $1.28
Balance with tax = 18.27 + 1.28 = $ 19.55
True of False? The line of best fit can only represent data that has a linear association?
Answer:
True
Step-by-step explanation:
Write an algebraic expression for "six times a number divided by fourteen". *
Answer:
6x/14
Step-by-step explanation:
6x/14
Step-by-step explanation:
let a number is x
and 6 times means= 6x
then divided by fourteen
6x/14
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A speed skater skates 1.5 km in 78 s. What is her speed in km/h? Round to the nearest
Answer:
Step-by-step explanation:
Speed=Distance/Time
1.5/78=0.01923076923
Answer rounded=0.02/0.019
A manufacturer considers his production process to be out of control when defects exceed 3.2%. In a random sample of 136 items, the defect rate is 8.7% but the manager claims that this is only a sample fluctuation and production is not really out of control. At the 10% level of significance, use the critical value method to test the manager's claim. Enter the test statistic. (Round your answer to nearest hundredth.) 1. Extract Information:
2. Original Claim:
3. Hypothesis
4. Distribution (Graphically);
6 Test Statistic
7. Statistical Conclusion
8. Final Words
5. Critical Value(s):
6.test statistics
7. statistical conclusion
Answer:
dsynyerjtetuegrjghdgfs
Based on the table, which city has the highest temperature in January?
City January
Temperature (°C)
New Orleans 7
Philadelphia -4
Phoenix 8
Rochester -8
San Antonio 5
A.
New Orleans
B.
Philadelphia
C.
Phoenix
D.
Rochester
E.
San Antonio
Answer:it’s Phoenix
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
Which of the following equations represents the line with a slope of 2 and a y-intercept of 4?
y = 2x + 4
y = 1/2x - 4
y = 2x - 4
y = 1/2x + 4
Answer:
The equation of the line with a slope of 2 and a y-intercept of 4 in the slope-intercept is:
y = 2x + 4Hence, option 'A' is correct.
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
m is the slope b is the y-interceptIn our case, we are given
Slope m = 2y-intercept b = 4substituting m = 2 and b = 4 in the slope-intercept form of the line equation
y = mx+b
y = 2x + 4
Therefore, the equation of the line with a slope of 2 and a y-intercept of 4 in the slope-intercept is:
y = 2x + 4Hence, option 'A' is correct.
An engineer is designing a television screen. The screen is shaped like a rectangle with a diagonal of 34
inches. The ratio of the length of the rectangle to its width must be 15:8.
What is the length of the screen?
A. 30 in.
B. 23 in.
c. 32 in.
D. 15 in.
Answer:
30"
Step-by-step explanation:
length:width = 15:8
length = 15x
width = 8x
(15x)² + (8x)² = 34²
225x² + 64x² = 34²
289x² = 34²
x² = 34²/289
x = 34/17 = 2
length = 15x = 30 inches
if Leah makes $9.50 per hour and she works 36 hours this week, how much will her paycheck be before taxes?
Answer:
Leah makes $342 before tax.
Step-by-step explanation:
9.50 x 36 = 342
Leah makes $342 before tax.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Answer:
Leah makes $342 before tax.
Step-by-step explanation:
9.50 x 36 = 342
Leah makes $342 before tax.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Step-by-step explanation:
Scarlett can make 7 cupcakes (the y value) with one cup of flour (the x value). How many cupcakes can she make with 9 cups of flour?
Answer:
63=x*y
Step-by-step explanation:*
y = 7 x=1. so 9 will muiltiply 7 until there is 9 7s then you got the answer
help meeee plzzz brainleestttttt
Answer:
From left to right, top to bottom
3
8
5
9
8
15
16
4
35
20
8
40
1
15
11
4
18
27
10
10
Step-by-step explanation:
Answer:
starting at the top left to right
3
8
5
9
8
15
16
4
35
20
8
40
1
15
11
4
18
27
10
10
Step-by-step explanation:
use the figure to find the measures of the numbered angles
I need help with this one
Answer:
60
Step-by-step explanation:
The answer of this question is 60 degree
If x=9 and y=−3, evaluate the following expression:20−5y+2x
Answer:
53
Step-by-step explanation:
20-5y+2x
20-5(-3)+2(9)
20--15+18
cancel out the negative signs
20+15+18
=53
Answer:
The answer is 53.
Explanation:
x = 9
y = -3
[tex]20 - 5y + 2x \\ 20 - 5( - 3) + 2(9) \\ 20 + 15 + 18 \\ 35 + 18 \\ 53[/tex]
What is the same product of 3x2/6?
Answer:
6/6=1
Step-by-step explanation:
3x2 is 6
so then 6/6 would equal 1
Answer:
= 1
Step-by-step explanation:
(3*2)/6 = 1
IF YOU STILL DONT KNOW
( 3 times 2 ) divde 6
6 divde 6 = 1
Solve the equation. You may find using algebra tiles to be helpful.
2x+5=11
X= ?
What does X equal
Please I need help need it soon
Fractions closer to 1 than to 0
Answer:
Fractions that are above 1/2 or 0.5
Step-by-step explanation:
For the system of equations that follows, use Gaussian elimination to obtain an equivalent system whose coefficient matrix is in row echelon form. Indicate whether the system is consistent. If the system is consistent and involves no free variables, use back substitution to find the unique solution. If the system is consistent and there are free variables, transform it to reduced row echelon form and find all solutions.
x₁ + 3x₂ + x₃ + x₄ = 3;
2x₁ - 2x₂ + x₃ + 2x₄ = 8;
x₁ - 5x₂ + x₄ = 5
Answer:
[tex]\begin{Vmatrix}1 & 0 & 0& 46/41 &180/41\\0 & 1 & 0&1/41 &-5/41\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}[/tex]
Step-by-step explanation:
From the question we are told that
System of equations given as
x₁ + 3x₂ + x₃ + x₄ = 3;
2x₁ - 2x₂ + x₃ + 2x₄ = 8;
x₁ - 5x₂ + x₄ = 5
Matrix form
[tex]\begin{Vmatrix}1 & 3 & 1&1&3\\2 & -2 & 1&2&8\\0&1 & -5 & 1& 5\end{Vmatrix}[/tex] [tex]\begin{Vmatrix}x_1\\x_2\\x_3\\x_4\end{Vmatrix}[/tex]
Generally the echelon reduction is mathematically applied as
[tex]\begin{Vmatrix}1 & 3 & 1&1&3\\2 & -2 & 1&2&8\\0&1 & -5 & 1& 5\end{Vmatrix}[/tex]
Add -2 times the 1st row to the 2nd row
[tex]\begin{Vmatrix}1 & 3 & 1&1&3\\0 & -8 & -1&0&2\\0&1 & -5 & 1& 5\end{Vmatrix}[/tex]
Multiply the 2nd row by -1/8
[tex]\begin{Vmatrix}1 & 3 & 1&1&3\\0 & 1 & 1/8&0&-1/4\\0&1 & -5 & 1& 5\end{Vmatrix}[/tex]
Add -1 times the 2nd row to the 3rd row
[tex]\begin{Vmatrix}1 & 3 & 1&1&3\\0 & 1 & 1/8&0&-1/4\\0&0 & -41/8 & 1& 21/4\end{Vmatrix}[/tex]
Multiply the 3rd row by -8/41
[tex]\begin{Vmatrix}1 & 3 & 1&1&3\\0 & 1 & 1/8&0&-1/4\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}[/tex]
Add -1/8 times the 3rd row to the 2nd row
Add -1 times the 3rd row to the 1st row
[tex]\begin{Vmatrix}1 & 3 & 0&49/41&165/41\\0 & 1 & 0&1/41 &-5/41\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}[/tex]
Add -3 times the 2nd row to the 1st row
[tex]\begin{Vmatrix}1 & 0 & 0& 46/41 &180/41\\0 & 1 & 0&1/41 &-5/41\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}[/tex]
7696 divided by 52 with remainder
Answer:148 with no remainder
Step-by-step explanation:
The number 7696 is called the numerator or dividend, and the number 52 is called the denominator or divisor.
The quotient of 7696 and 52, the ratio of 7696 and 52, as well as the fraction of 7696 and 52 all mean (almost) the same:
7696 divided by 52, often written as 7696/52 is 148 with not decimals meaning that there is no remainder
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lfu29
When 7696 divided by 52 then quotient is 148 and remainder is 0.
When you divide 7696 by 52, the quotient is the whole number result of the division, and the remainder is the amount left over.
Let's perform the division:
148 (quotient)
______________
52 | 7696
7696
-----
000
The quotient is 148, and the remainder is 0.
So, 7696 divided by 52 is equal to 148 with a remainder of 0.
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I NEED HELP ASAP!!!!!!!
Answer:
(-2,3)
Step-by-step explanation:
All points in the dark red area (not on both line) are solutions.
How to solve the following equation:
5²(2x-3)=100