Answers
[tex]\pink{\sf Third \: side \: of \: the \: triangle = 45}[/tex]
Solution :As, the given triangle is a right angled triangle,
Hence, We can use the Pythagoras' Theorem,
[tex]\star\:{\boxed{\sf{\pink {H^{2} = B^{2} + P^{2}}}}}[/tex]
Here,
H = Hypotenuse of triangleB = Base of triangle P = Perpendicular of triangleIn given triangle,
Base = 24Hypotenuse = 51Perpendicular = ?Now, by Pythagoras' theorem,
[tex]\star\:{\boxed{\sf{\pink {H^{2} = B^{2} + P^{2}}}}}[/tex]
[tex] \sf : \implies (51)^{2} = (24)^{2} + P^{2}[/tex]
[tex] \sf : \implies 51 \times 51 = 24 \times 24 + P^{2} [/tex]
[tex] \sf : \implies 2601 = 576 + P^{2}[/tex]
[tex] \sf : \implies P^{2} = 2601 - 576[/tex]
[tex] \sf : \implies P^{2} = 2025[/tex]
By squaring both sides :
[tex] \sf \sqrt{P^{2}} = \sqrt{2025}[/tex]
[tex] \sf : \implies P^{2} = \sqrt{2025}[/tex]
[tex] \sf : \implies P^{2} = \sqrt{(45)^{2}}[/tex]
[tex] \sf : \implies P^{2} = 45 [/tex]
[tex]\pink{\sf \therefore \: Third \: side \: of \: the \: triangle \: is \: 45}[/tex]
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Related Questions
Solve there Systems of equations. Step - by - Step 2x + y = 15
3x - y = 5
Answers
Answer:
2x+y=15, 6x+3y=45
3x-y=5, 6x-2y=10
Y=35, plug it in, x=-10
Step-by-step explanation:
What is the approximate area of the shaded sector in the circle shown below?
Answers
Answer:
C. 297
Step-by-step explanation:
Area= 105/360(pi*18^2)
Area=296.73
Someone please help and please show the work too :(
The sum of two numbers is 15. Twice one number equals 3 times the other. Find the numbers
Answers
Answer:
6 and 9
Step-by-step explanation:
x + y =15
2x = 3y Set up system of equations
x = [tex]\frac{3y}{2}[/tex] Solve for x
[tex]\frac{3y}{2}[/tex] + y = 15 Substitute
3y + 2y = 30
y = 6
x = 9
change from word form to standard form: five hundred five and fifty thousandths
Answers
Anwer: Five hundred five and fifty thousandths in standard form is 505.05
Solve the inequality.
8+k≤−3
The solution is
.
Answers
Answer: k [tex]\leq[/tex] -11
Step-by-step explanation:
8 + k [tex]\leq[/tex] -3 Subtract 8 from both sides
-8 -8
k [tex]\leq[/tex] -11
The solution to the given inequality 8 + k ≤ -3 is k ≤ -11 which represents all values of k that are less than or equal to -11.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
The given inequality is given in the question:
8 + k ≤ -3
To solve the inequality 8 + k ≤ -3, you can start by subtracting 8 from both sides to isolate the variable:
k ≤ -3 - 8
k ≤ -11
The solution to this inequality is all values of k that are less than or equal to -11. This includes all negative numbers less than or equal to -11, as well as -11 itself.
Therefore, the solution to the given inequality is k ≤ -11.
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What is the area of figure ABCD?
(image of figure down below)
104 square inches
120 square inches
136 square inches
168 square inches
Answers
Answer:
a
Step-by-step explanation:
Why do scientists use models?
A)
Models are unreliable.
B)
Models waste natural resources.
Models predict not just describe events.
Models are based on scientific laws and principals so they are more
reliable than the real thing.
D)
Answers
2
What is (2 + 0.4 + 0.6)= ?
Answers
Answer:
What is (2+0.4+0.6)
First we have to arrange the numbers in sequence...
[tex]2.0 \: + \: 0.4 \: + 0.6 \\ 3.0 \: or \: 3[/tex]
Here I have taken this 0 after the point ..as the rest of the digit are in tenths place or after the point...
The answer is 3.
We will not calculate the 0 as it does not have any value.
Ans) 3
Hope this helps you...HELP ME, PLEASE. I REALLY NEED IT
Find x:
[tex]S=\frac{1}{sin2x}+\frac{1}{sin4x}+\frac{1}{sin8x}+...+\frac{1}{sin2^{n}x }[/tex]
Answers
Answer:
cotx - cot2ⁿxStep-by-step explanation:
Note: finding the sum not xFirst rewrite the first term as:
1/sin2x = sinx / (sinxsin2x) = sin(2x-x) / (sinxsin2x) =(sin2xcosx - cosxsinx) / (sinxsin2x) = (sin2xcosx)/(sinxsin2x) - (cos2xsinx)/(sinxsin2x) = cosx/sinx - cos2x/sin2x = cotx - cot2xNow the sum is:
S = cotx - cot2x + cot2x - cot4x +... + cot2ⁿ⁻²x - cot2ⁿx =cotx - cot2ⁿxSelect "Growth" or "Decay" to classify each function.
Answers
Answer:
they all all right
Step-by-step explanation:
growth
decay
growth
From the details in the article, what inference can you make about Katie?
A) Katie is well-meaning but sometimes impractical.
B) Katie is hardworking and generous to others.
C) Katie is friendly but prefers to keep to herself.
D) Katie is free-spirited and love to have a good time.
Answers
Answer:
B
Step-by-step explanation:
She was working hard on her garden, and she was generous by donating.
The inference that can you make about Katie :
B) Katie is hardworking and generous to others.
"Gardening"
The inference that can you make about Katie is hardworking and generous to others.
She was working hard on her plant, and she was generous by giving.
Gardening is the laying out and care of a plot of ground given somewhat or entirely to the developing of plants such as blossoms, herbs, or vegetables.
Thus, the correct answer is B.
Learn more about "Kathie":
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Becca’s dog walking business started with 1 dog. She walks 2 additional dogs each month.
The graph represents the problem. How many dogs does she walk in the third month?
Answers
Answer:
7 is the correct answer
2 each month + 1 that she started of with = 7 I hope this helped.
9) How much edging is needed to go
around a bulletin board that is 3 feet
high and 2 feet wide?
Answers
Answer:
10 feet worth
Step-by-step explanation:
3+3=6
2+2=4
6+4=10
What is the equation in slope-intercept form of the line that crosses the x-axis at 12 and is perpendicular to the line represented by y = 6/5x + 9 ?
Answers
Answer:
The equation of the line in slope-intercept form is;
y = 10 - 5/6·x
Step-by-step explanation:
The given equation of the line to which the required line is perpendicular is presented as follows;
y = 6/5·x + 9
A point on the desired line = (12, 0)
The relationship of the slope, m₁ of a line, perpendicular to the another line of slope m₂, is given as follows;
m₁ = -1/m₂
Therefore;
The slope of the desired line = -1/(The slope of the given line)
The slope of the desired line = -1/(6/5) = -5/6
The equation of the desired line in point and slope form is given as follows;
y - 0 = -5/6 × (x - 12)
Therefore, the equation of the line in slope-intercept form is;
y = -5/6·x + 10 = 10 - 5/6·x.
SOMEONE PLEASE HELP!!!!
Answers
Answer: it’s C
T r u s t M e ;)
The second response
What is the area of this shape?
7 inches
4 inches
5 inches
A. 17.5 square inches
B. 25.5
C.27.5
D. 35.5
E.37.5
Answers
Answer:
c because 5×4=20 and 3×5÷2=7.5= 27.5
A cheetah's speed was timed overa
100-yard distance. The cheetah was
(PLEASE HELP ME)clocked running 70 miles per hour. Which
equation shows the relationship between
the distance, y, and time, x, the cheetah
runs?
Answers
Answer:
y = 70x
Step-by-step explanation:
Note that d = rt where d is the distance, r is the rate/speed, and t is the time. Since we are given that the variable x is the time, 70mph is the speed, and the variable y is the distance, we can substitute these into d = rt, which we get y = 70x.
I hope this helps! :)
The minute hand of a clock in a clock tower has a length of 36 inches.
If a butterfly landed on the extreme tip of the minute hand at exactly 12:00 noon and rode the minute hand until 12:45 p.m., how far did the butterfly ride along the arc traced by the minute hand?
Answers
45 i guessStep-by-step explanation:
please answer this !!!
Answers
The formula C=5/9(F−32) can be used to convert temperature from Celsius (C) to Fahrenheit (F). The highest temperature ever recorded in the United States was 134 ∘F in Death Valley on July 10, 1913. What was the temperature that day in Celsius, rounded to the nearest degree?
Answers
Answer:
57 °C.
Step-by-step explanation:
The formula that is used to convert temperature from Celsius (C) to Fahrenheit (F) is given by :
[tex]C=\dfrac{5}{9}(F-32)[/tex] ...(1)
If T = 134° F, we need to convert the temperature in Celsius.
Put F = 134, in equation (1)
[tex]C=\dfrac{5}{9}(134-32)\\\\=\dfrac{5}{9}\times 102\\\\=56.66^{\circ} C\\\\\text{or}\\\\T=57^{\circ} C[/tex]
So, the temperature on that day is 57 °C.
Please help me ASAP!!!!
Answers
Answer:
The first one and the last two
Answer:
the first one and the 2 last ones!
Helpp!!
At Charles School, 1/5 of the 75 students in seventh grade play in the jazz band. how many seventh graders play in the jazz band?
Answers
Answer:
15
Explanation
1/5x75=75/5 =15
15 seventh graders play in the jazz band as per the given ratio.
What is the ratio?One quantity can be expressed as a fraction of other quantities using a ratio, which is a number. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
Given At Charles School, 1/5 of the 75 students in seventh-grade play in the jazz band.
In the form of a ratio
1/5 the students out of 75 play in the jazz band
Total students play in the jazz band = 75* 1/5
Total students play in the jazz band = 15
Therefore, The jazz band has 15 seventh graders playing according to the ratio.
Learn more about ratios here:
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9(3+c+4) =
Help!!!!!!!!!!
Answers
Add the numbers
9(7+c)
Distribute 9 through the parentheses
63+9c
Answer
63+9c
Someone please help.
Answers
Answer:
3a. 84
3b. 150
Step-by-step explanation:
(3*7)+(3*21)
what is 3*7? it's 21
what is 3*21? it's 63
so 21 + 63 is the answer to the first question :D
10*(8+7)
8+7 first cause it's in parentheses
15
10*15 is equal to 150
test corrections....
Answers
If f(x) = x^3 – 10x^2 + 29x – 30 and f(6) = 0, then find all
of the zeros of f(x) algebraically.
Answers
(((x3) - (2•5x2)) + 29x) - 30 = 0
Step 2 2.1 x3-10x2+29x-30 is not a perfect cube
Step 3 Factoring: x3-10x2+29x-30
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: 29x-30
Group 2: -10x2+x3
Pull out from each group separately :
Group 1: (29x-30) • (1)
Group 2: (x-10) • (x2)
12 points
8. Javier worked out the following on his math homework: "What
equation best represents the relationship between x and y in the graph?"
Javier's answer was y= - 4x - 2. Is he correct? If not, explain what he did
wrong AND give the correct answer. (This question will be hand graded) *
1096
2716810
M
Answers
what is 1,360/16 reduced to smallest form? (please hurry this assignment is due soon)
Answers
Answer:
85/1
Step-by-step explanation:
because both numbers are divisible by 16
Answer:
85
Step-by-step explanation:
1360 and 16 both have 16 in common. So...
1,360 ÷ 16 = 85
16 ÷ 16 = 1
85/1 = 85
The answer is 85.
please help!!!! very confused
Answers
Answer:
I think it is B
Step-by-step explanation:
Hope this helped have an amazing day!
On Monday Matty worked for 450 minuites in his office on Tuesday he worked half the numbers of minute he worked on Monday on wends day he worked only 1/2 day Wichita was 300 minute how many more minutes did he work on wensday then thursday
Answers
Answer:
The answer is 75 minutes.
Explanation :
Wednesday is 300 minutes & Tuesday is 225 minutes because 450 ÷ 2 = 225.
Wednesday is 300 minutes & Tuesday is 225 minutes because 450 ÷ 2 = 225. SO 300 - 225 = 75.
CAN YOU PLS GIVE ME BRAINLIST? THANK YOU! :))
Answer:
He worked for 75 more minutes on Wednesday then on Tuesday.
Step-by-step explanation:
So since we know that Matty worked for 450 minutes in his office on Monday, we can find out for how long he was working on Tuesday since we know that.......
Let "y" be the number of minutes Matty will work on Tuesday
Let "x" be the number of minutes Matty worked on Monday
[tex]y = \frac{x}{2}[/tex]
Substitute the values we have and get......
[tex]y = \frac{450}{2}[/tex]
[tex]y = 225[/tex]
So now we can find out how much more he worked on Wednesday then on Tuesday by doing the following......
Let "w" be the number of minutes Matty worked on Wednesday, then.......
The answer = [tex]w - y[/tex]
The answer = 300 - 225
The answer = 75