Answer:
[tex]H = 53.30[/tex]
Step-by-step explanation:
Given
[tex]Side\ 1 = 7x + 41[/tex]
[tex]Side\ 2 = 5x[/tex]
Required
Determine side x
The hypotenuse (H) is calculated using:
[tex]H^2 = Side\ 1^2 + Side\ 2^2[/tex]
[tex]H^2 = (7x + 41)^2 + (5x)^2[/tex]
Substitute 9 for x:
[tex]H^2 = (7*9 + 41)^2 + (5*9)^2[/tex]
[tex]H^2 = 10816 + 2025[/tex]
[tex]H^2 = 12841[/tex]
So:
[tex]H = \sqrt {2841[/tex]
[tex]H = 53.30[/tex]
Is s=2/3 a solution of 6s−1=3s?
Answer:
nope
Step-by-step explanation:
No, s=2/3 is not a solution of 6s−1 = 3s.
What is linear equation?Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.
Given:
A linear equation,
6s − 1 = 3s.
Substituting,
s = 2/3,
Equation is,
3 ≠ 2
Simplifying,
6s - 3s = 1
3s = 1
s = 1/3
That means, s = 1/3 is the only solution of the equation.
Therefore, s = 2/3 is not a solution to the equation.
To learn more about the linear equation;
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The scale factor of the scale drawing of a mirror to the actual mirror is represented by the ratio 1 : 8 . If the dimensions of the scale drawing are 3 inches wide by 8.5 inches long, what is the actual area of the mirror?
Answer:
1,632
Step-by-step explanation:
Lucy has 1/5 of a pound of chocolates. She would like to make 4 gift bags with chocolates for her teachers.
Answer:
0.05 pound of chocolate per gift bag or 1/20 pound of chocolate per gift bag
Step-by-step explanation:
1/5 divided by 4
=0.05 pound of chocolate per gift bag or 1/20 pound of chocolate per gift bag
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Hope this helped!!Mark is flying a kite and realizes that 300 feet of string is out. Mark anchored the kite to the ground. The angle of the string with the ground is 42.5 degrees. How high is Mark's kite above the ground? Find your answer to the nearest tenth.
Answer:I don’t understand
Step-by-step explanation:
Music streaming services are the most popular way to listen to music. Data gathered over the last 12 months show Apple Music was used by an average of 1.73 million households with a sample standard deviation of 0.46 million family units. Over the same 12 months Spotify was used by an average of 2.17 million families with a sample standard deviation of 0.33 million. Assume the population standard deviations are not the same. Using a significance level of 0.01, test the hypothesis of no difference in the mean number of households picking either service.
Answer:
There is enough statistical evidence to suggest that there is no difference between the mean number of households picking either service
Step-by-step explanation:
The parameters of the music streaming service are;
The average number of households using Apple Music, [tex]\overline {X}_1[/tex] = 1.73 million
The standard deviation, σ₁² = 0.46 million
The average number of households using Spotify, [tex]\overline {X}_2[/tex] = 2.17 million
The standard deviation, σ₂² = 0.33 million
The significance level = 0.01
Hypothesis testing with different population standard deviation
[tex]Z = \dfrac{\overline {X}_1 - \overline {X}_2}{\sqrt{\dfrac{\sigma_1^2}{n_1} +\dfrac{\sigma_2^2}{n_2}} }[/tex]
H₀: [tex]\overline {X}_1[/tex] ≠ [tex]\overline {X}_2[/tex]
H₁: [tex]\overline {X}_1[/tex] = [tex]\overline {X}_2[/tex]
[tex]Z = \dfrac{1.73- 2.17}{\sqrt{\dfrac{0.46^2}{12} +\dfrac{0.33^2}{12}} } = -2.6923[/tex]
p-value for the test statistic = 2 × P(Z <-2.6923) = 2 × 0.00357 = 0.00714
Therefore, the p-value is less than the significance level, and it is therefore unlikely that the result will be observed under the null hypothesis
We therefore reject the null hypothesis and there is enough statistical evidence to suggest that there is no difference between the mean number of households picking either service
les What is the area of the triangle?
Answer:
48 cm² is the correct answer.
help pls :)) much appreciated
Answer:
9,-7 hope this helps :))))))))
7.
0, 78, 99, 58, 65, 0, 47, 38, 227
Mean
Median
Mode
Answer:
Step-by-step explanation:
0, 78, 99, 58, 65, 0, 47, 38, 227
Mean -68
Median - 58
Mode - 0
True or False: This data set represents a function.
{(-5, 8), (-6, 2).(-2,-6), (-1, 8), (4, 6)}
True
False
At East High School, there are a total of 1050 students in the freshman and sophomore classes. However, the freshman class has 80 more students than the sophomore class. Which system of equations could be used to determine the number of freshmen (f) and sophomores (s) in the school?
Choose all that apply.
1. f + s = 1050
s + 80 = f
2. f - s = 1050
f + s = 80
3. f + s = 1050
f + 80 = s
4. f - s = 1050
s + 80 = f
5. f + s = 1050 f - 80 = s
Answer: Numbers 1 and 5.
Step-by-step explanation:
It will take Taylor alone 15 hours to complete the work alone.
What is function?A function is a relation between a dependent and independent variable.
Mathematically, we can write → y = f(x) = ax + b.
Given is that at East High School, there are a total of 1050 students in the freshman and sophomore classes. However, the freshman class has 80 more students than the sophomore class.
We can write the system of equations to determine the number of freshmen (f) and sophomores (s) in the school as -
f + s = 1050
f - 80 = s
Therefore, the system of equations to determine the number of freshmen (f) and sophomores (s) in the school as -
f + s = 1050
f - 80 = s
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Carlos bought a video game that was 15% off. The game was originally $20. How much money DID HE SAVE by getting it on sale?
Answer:
Carlos saved 17 dollars.
Step-by-step explanation:
15% of $20.00 = $3.00
What is the equation of the following line?
Pls help extra points and mark brainlist
Answer:
B.
Hope that helps!
Step-by-step explanation:
Answer:
The second one.
Step-by-step explanation:
Because it is has an equal sign, that you can solve x for.
Hope this helps! Have a good rest of you day!
Lula has two dogs, one 35 pounds, the other 25 pounds. What is the average weight of Lula's dogs?
Answer:
30
Step-by-step explanation:
25+35= 60
60/2=30
Answer: 30
Step-by-step explanation:
The term average has a number of different meanings. Most generally, it is a single number that is used to represent a collection of numbers. In the context of mathematics, "average" refers to the mean, specifically, the arithmetic mean. It is a relatively simple statistical concept that is widely used in many areas.
The equation below is one of the more commonly understood definitions of the average: [tex]Average =[/tex] [tex]\frac{Sum}{Count}[/tex]
Can some please help and if you get it right I will mark Brainly!!!
Answer:
(2, 7)
Step-by-step explanation:
bc if you plug in the points into the equation you get 3(2)+4(7) is greater or equal to 20. 3(2)+4(7) is 34 and that is greater than 20
Can someone answer this please!!! I only have 5 mins and u will get Brainly too :)
Answer:
20 Sq cm
Step-by-step explanation:
Length of parallel sides are 7 cm and 3 cm and perpendicular height is 4 cm.
Area of trapezium
[tex] = \frac{1}{2} (7 + 3) \times 4 \\ \\ = 10 \times 2 \\ \\ = 20 \: {cm}^{2} [/tex]
What is the initial value of the equation shown? (1 point) y = −7x − 6 −13 −7 −6 −1
Answer:
-6
Step-by-step explanation:
The equation is y = -7x - 6.
The initial value is found when x = 0.
y = -7(0) - 6
y = 0 - 6
y = -6
SOMEONE HELP PLEASE ILL REWARD BRAINIEST!!!
Answer:
27,000
Step-by-step explanation:
Factorise
15 a^3 b - 35ab^3
Answer:
15 a^3 b - 35ab^3
taking common
5ab(3a²-7b²)
Answer:
[tex] \huge \boxed{ \boxed{ \red{3ab(5 {a}^{2} - 7 {b}^{2} )}}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:factoringtips and formulas:therefore are many ways to factor. In this question to factor we just need to figure out GCF of the following expressionfactor out the GCFgiven:15a³b-35ab³let's solve:rewrite 15a³b as 3×5×a×a×a×brewrite -35ab³ as -1×7×5×a×b×b×btherefore the GCF of the expression is 5ablet's factor out 5ab:5ab(3a²-7b²)and
we are done
14 out of 49 as a percentage
Answer:
28.57%
Step-by-step explanation:
What value of x makes this equation true?
2 (3x – 8) = 2 (7x + 2)
Answer:
I think the answer to this question or (x) is -2.5 .
a) Expand and simplify.
3(x - 2) - 4(x - 5)
7
Answer:
x=7
Step-by-step explanation:
3(x - 2) - 4(x - 5)=7
3x+−6+−4x+20=7
(3x+−4x)+(−6+20)=7(Combine Like Terms)
−x+14=7
−x+14=7
Step 2: Subtract 14 from both sides.
−x+14−14=7−14
−x=−7
Step 3: Divide both sides by -1.
−x
−1
=
−7
−1
PLEASE HELP THIS ASSIGNMENT IS OVER DUE
Answer:
15 +5x +24 +8x
39 + 13x is answer
How to Simplify 9:27
simply divide the numerator and denominator by 9 (the GCF). So, 927 = 9÷927÷9 = 13. Thus, 927 is equivalent to 13 in the reduced form.
Answer:
It's simplified form is 1:3
Step-by-step explanation:
1st step: Convert them into fraction i.e.
[tex] \frac{9}{27} [/tex]
2nd step: Now check for their HCF i.e 9 so,
[tex] \frac{9 \div 9}{27 \div 9} [/tex]
And divide it with both the numerator and denominator and the result is,
[tex] \frac{1}{3} [/tex]
3rd step: Now convert them into ratio i.e
1:3
Hence, 9:27 simplified format is 1:3 (Ans)
Determine the equation for the line that passes through the point (-5,3 ) with a slope of -2/3
Answer:
y=-2/3x-1/3
Step-by-step explanation:
Plug in the point (-5,3)
3=-2/3(-5)+k
3=3.3333+k
k (y-intercept)=-0.33333, or -1/3
what is the slope of the line y=4?
Answer:
there is no slope, or a slope of 0.
Step-by-step explanation:
find the measure of each angle indicated
Answer:
D) 111
Step-by-step explanation:
Internal Alternate angle thm states 111 and x are equal:
? = 111
Answer:
D
Step-by-step explanation:
its the same as the angle that was given to you
Can someone help me I don’t know how to do this it’s hard and confusing me
9514 1404 393
Answer:
increasing on 0 < x < 2f(2) = 4decreasing on 2 < x < 5Step-by-step explanation:
You need to know that an even function is symmetrical about the y-axis. The graph to the right of the y-axis is the mirror image of the graph to the left. With that in mind, the questions are easily answered.
It might help to draw the function graph, as we did in the attached. Then it is more straightforward to see what is happening in each of the intervals.
The function is increasing in the interval 0 < x < 2.
The function value at x=2 is 4: f(2) = 4.
The function is decreasing in the interval 2 < x < 5.
When Jack, Jill, and Bill each came down the hill carrying a 48-ounce
bucket full of water. By the time they reached the bottom, Jack's bucket
was only 3/4 full. How much water did Jack spill?
14 oz.
O 12 oz.
O 3/48 oz
16 oz.
Plz HELPPPP AGIAN
Find the factors of following:
(i) 8x^2yz
Answer:
(i) 8x^2yz=2×2×2×x×x×y×z