Answer:
26 units
Step-by-step explanation:
Pythagoras' Theorem: [tex]\sf a^2+b^2=c^2[/tex]
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
Given
a = 10b = 24Substitute the given values into the formula and solve for c:
[tex]\sf \implies 10^2+24^2=c^2[/tex]
[tex]\sf \implies c^2=676[/tex]
[tex]\sf \implies c=\pm\sqrt{676}[/tex]
[tex]\sf \implies c=\pm26[/tex]
Since length is positive, c = 26 only
Answer:
26 units
Step-by-step explanation:
To find the missing side length, we need to use Pythagoras theorem, as this triangle is a right triangle.
Formula: h² = x² + y² [h = hypotenuse, x and y = legs]
Legs: 10 units and 24 units (Stated in comments)
Finding the third side of the triangle (h):
⇒ h² = 10² + 24²
Simplify the LHS:
⇒ h² = 100 + 576
⇒ h² = 676
Take a square root both sides:
⇒ √h² = √676
⇒ h = ±26
⇒ h = 26 (Side lengths can never be negative)
Thus, the length of the third side is 26 units.
The ratio of the number of dolls Jacky had to the number of dolls Peter had was 5 : 2 but, after Jacky gave 15 dolls to Peter, they have an equal number of dolls. How many dolls did they have altogether?
PLS HELP MEEE
The number of dolls Jacky is 50 and the number of dolls Peter is 20. Then the total number of dolls is 70.
What are ratio and proportion?A ratio is an ordered couple of numbers a and b, written as a/b where b can not equal 0. A proportion is an equation in which two ratios are set equal to each other.
The ratio of the number of dolls Jacky had to the number of dolls Peter had was 5: 2.
[tex]\rm \dfrac{x}{y}=\dfrac{5}{2}[/tex]
Let the number of dolls Jacky be x and the number of dolls Peter be y.
But, after Jacky gave 15 dolls to Peter, they have an equal number of dolls. Then we have
x - 15 = y + 15
x = y + 30
Then we have
[tex]\begin{aligned} \rm \dfrac{y+30}{y} &=\dfrac{5}{2}\\\\2y + 60 &= 5y \\\\3y &= 60 \\\\y &= 20 \end{aligned}[/tex]
Then x will be
x = y + 30
x = 20 + 30
x = 50
Then the total number of dolls they have altogether will be 70.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
Answer:
70
Step-by-step explanation:
BECAUSE
10. Which expression is equivalent to 4
(4-3)*(4042)* ?
பமccee
A.
4-4
В.
4 3
C
413
D.
4 14
Answer:
C Because the evolution of wasted numbers is incorrect
Find the GCF for the set of numbers.
18, 36, and 60
Step-by-step explanation:
Factors of 36 are {1,2,3,4,6,9,12,18,36}
.
Factors of 60 are {1,2,3,4,5,6,10,12,15,20,30,60}
Common factors are }1,2,3,4,6,12} .
greatest Common Factor is 12 .
Make a story problem about conversion of measurements.
Make a story problem about conversion of measurements.
ANSWERCairo wants to join the basketball team, so he tried out and filled up a form. But he realized that the form wanted to get his height in "cm or centimeters", the problem is that he only knows his height in "feet" which is 6'5.
Since he didn't know how to convert centimeters to feet, he asked his friend Tyga and Tyga easily converted his height into cm. Cairo then filled up the form again and wrote "195.58 cm" in his official height--the equivalent of 6'5 in centimeter measurement.
Theo is a cleaner,
The table shows information about the time it will take him to clean
each of four rooms in a house,
Theo wants to clean all four rooms
Room
Time
in one day
Kitchen 1 hour 50 minutes
He will have breaks for a total time
of 85 minutes,
Lounge 55 minutes
Theo is going to start cleaning at 9 am,
Bedroom 1 1/2 hours
What time will he finish cleaning?
Bathroom
35 minutes
Step-by-step explanation:
1 hour 50 minutes = 110 mins
1 1/2 hours = 90 mins
add all these:
110
90
85
55
35
when you add all these you get 375
every hour has 60 minutes
375 ÷ 60 = 6.15
if he starts at 9 am and he cleans for 6.15 hours he will be finished by 3:15pm.
Based on the number of minutes Theo will take to clean the various rooms, and the time he will take to rest, he will finish cleaning at 3:15 pm.
What time will Theo finish cleaning?The best thing to do here is to convert all the minutes to decimals. This would make adding them up easier.
Kitchen = 1 hour 50 minutes = 1 + 50/60 = 1.833 hours
Lounge = 55 minutes = 55/60 = 0.916 hours
Bedroom = 1.5 hours
Bathroom = 35 minutes = 35/60 = 0.583
Breaks = 85 / 60 = 1.417
Add them up:
= 1.833 + 0.916 + 1.5 + 0.583 + 1.417
= 6.249 hours
= 6 + (0.249 x 60 minutes)
= 6 hours 15 minutes
The time he will finish is:
= 6 hours 15 + 9
= 1515 hours
= 3:15 pm
Find out more on operations involving time at https://brainly.com/question/1040096.
Express the cubed root of a cubed root of the cubed root of 2 with a rational index.
Answer:
[tex]2^{\frac{1}{27} }[/tex]
Step-by-step explanation:
→ Write in number format
∛∛∛2
→ Rewrite
[tex]2^{\frac{1}{3} } *2^{\frac{1}{3} } *2^{\frac{1}{3} }[/tex]
→ Simplify
[tex]2^{\frac{1}{27} }[/tex]
Answer:
2^(1/27).
Step-by-step explanation:
That would be [(2)^1/3)^1/3]^1/3
= 2^1/3*1/3*1/3)
= 2^(1/27)
3.) Jan wants a bunch of balloons for her birthday party. She chooses 10 red, 12 blue, 8 green and 9 yellow balloons. Her mom says she can only have 60% of them. Jan doesn't care what colors she has. How many balloons does she end up with?
Answer:
Lets break this down
The question asks for “How many balloons does she end up with”?
A important fact is that Jan doesn’t care what color she has.
So using this we can disregard the colors.
She is only allowed to have 60 percent of all the balloons she choosed.
So lets add them.
10 + 12 +8 + 9 = 39
She chose 39 balloons in total.
Since she doesn’t care about the color we can jsut find 60 percent of 39.
In order to find this we just multiply 60% of 39.
Percentage means out of a hundred so 60 percent is 60 out of a hundred or in this age 60/100.
Now 60/100 is basically 0.6
So we multiply 39 by 0.6
23.4 is the answer.
Now you can’t have .4 of a balloon so we jsut round down for any decimal in this case.
23.4 is 23 now.
So 23 balloons is the amount of balloons Jan ends up with
A field is shaped like the diagram below.
It is a rectangle with semicircles at two ends. There is a running track around the perimeter of the field.
(a)
100 m
64 m
What is the circumference of the track?
Step-by-step explanation:
must be at least 100m, and the rectangle width, also known as twice the circle radius, must be less than or equal to 60m. That would make for a relatively normal-shaped track
The perimeter of the track is 464 m
What is a perimeter?The length around an object is called its perimeter.
Given that, a rectangle with semicircles at two ends. there is a running track around the perimeter of the field.
The dimension of the rectangle are 100 m and 64 m
The distance between the outer an dthe inner track is 10 m,
The diameter of the outer semicircles is 64+10+10 = 84 m
Therefore, is radius = 42 m
The perimeter of the outer semicircle = 2×π×radius
= 2×3.14×42
= 264 m
The length of the two straight lines = 100 + 100 = 200 m
Therefore, total perimeter of the whole track = 200+264 =464 m
Hence, the perimeter of the track is 464 m
Learn more about perimeters, click;
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The figure for this question is:
27x+9y+3 name the coefficients
HIRRY AND HELP
Answer: 27 and 9
Step-by-step explanation:
Coefficients are the numbers in front of variables. Since the variables are x and y, then the coefficients are 27 and 9.
Hello!
Please remember that
A coefficient is a number before a variable.What is a variable?
A variable is a letter (like x)So a coefficient is basically a number before a letter (like 27x)
Hence, the coefficients are
[tex]\boxed{\boxed{\bold{27~and~9}}}[/tex]
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
:-)
Sally's family is going to visit her grandparents for the holidays. They live 585 miles away. Sally's parents plan to drive for 5.5 hours on the first day, then stop at a hotel for the night and complete the rest of the trip on the second day. They plan to maintain an average speed of 60 miles per hour.
Which equation can Sally use to find how many hours, h, they can expect to drive on the second day?
How many hours can Sally's family expect to drive on the second day?
Answer: 4.25
Step-by-step explanation:
First day: 60 × 5.5 = 330
Second day: 585 - 330 = 225 ÷ 60 = 4.25
Find the volume of the prism.
Answer:
210 cm^3
Step-by-step explanation:
To find the volume of a regular we use the following formula:
l*w*h (l: length, w: width, h: height)
6*5*7 = 210 the volume is expressed with cm^3 so the answer is 210 cm^3
You have decided to purchase a car for $25,625. the credit union requires a 10% down payment and will finance the balance with a 9% annual interest loan for 36 months. the sales tax in your city is 7.5%, and the license and title charges are $175.13. what is the total purchase price of the car including tax, license, and title? round your answer to the nearest cent. a. $24,949.80 c. $27,722.01 b. $24,967.32 d. $27,735.14
The total purchase price of the car including tax, license, and title $27,722.01.
The purchase price of a car is $25,625 the credit union requires a 10% down payment and an annual interest 9% loan for 36 months. The sales tax is given 7.5%, and the license and title charges are $175.13.
What is the total sale?The total sale is the product of the selling price and one plus the sales tax rates.
Total sale = selling price × (1 + sales tax rate)
The price of the car including tax
= $25,625 × (1 +7.5%)
= $27,546.88
By adding license and title charges to the amount, we get
= $27,546.88 +175.13
= $27,722.01
Hence, The total purchase price of the car including tax, license, and title $27,722.01.
Learn more about the total sale here:
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Rewrite the expression as the sum of two numbers. 4(5 + 8) A) 2(13) B) 9 + 32 C) 9 + 12 Eliminate D) 20 + 32
Answer:
D.
Step-by-step explanation:
4(5 + 8)
= 4*5 + 4*8
= 20 + 32
choose the name of highlighted part
Point X is located at 11 on the number line. Point Y is 5 less than point X. Where on the number line is point Y?
Answer:
6
Step-by-step explanation:
If you draw out a number line, and a little tick for each number, X will be on the 11 mark (I'll try to do a little thing here)
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
The 11 is where X is
The question says that point Y is 5 LESS than point X, so we want to go down 5 numbers.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16f
(6 is 5 less than 11)
So the point Y will be on the 6
(100 POINTS AND BRAINLIEST) 1 Question - Mr. Morris is going to save money and replace his sailboat's mainsail himself. He must determine the area of the mainsail in order to buy the correct amount of material. Calculate the area of the parallelogram to determine how much material should be purchased. Be sure to explain how to decompose this shape into rectangles and triangles. Describe their dimensions and show your work.
Question 2 - (05.03)Lisa has to cut her grandma's grass this weekend and wants to know exactly how much area she will be cutting. Calculate the area of the polygon. Be sure to show all your work and explain your answer. (Picture is for question 2)
Answer:
I don't know I'm trying my best and I'm late
Step-by-step explanation:
does this make any sense to anyone and if so..... help
Answer:
224
Step-by-step explanation:
56 * 4 =224
Answer:
224
Step-by-step explanation:
the pattern is 4 times the space the number is in
ex: 4,8,12,16 because 16 is the 4th number and 4x4= 16
hope this helps!
Have a wonderful day :D
if 5/8 of the 40 seeds sprouted how many seeds did not sprout
Answer:
15
Step-by-step explanation:
[tex]since \: \: \frac{5}{8} \times 40 \\ = 25[/tex]
[tex]those \: that \: did \: not \: sprout \: would \: be \\ \: equals \: to \: 40 - 25 \\ = 15[/tex]
Match the vocabulary word with the correct definition.
1. answer choice 3
2. answer choice 2
3. answer choice 1
4. answer choice 4
5. answer choice 5
Answer:
1. the answer choice 3
2. the answer choice 2
3. the answer choice 1
4. the answer choice 4
5. the answer choice 5
Step-by-step explanation:
Please somebody help me
Answer:
I believe the answer is 0.35
Step-by-step explanation:
We know the total is 0.7 miles. We can assume he went back and forth only once. So divide by 2 and you get 0.35 miles
Brooke has a box of crayons. 5 are yellow, 2 are green, 6 are blue, and 7 are red If Brooke randomly selects a green crayon and doesn’t put it back, what is the probability that she will choose a red crayon next?
Pls Help Me I will Mark the Brainiest
Answer:
arc AD = 126°
Step-by-step explanation:
the inscribed angles ABD and ACD are half the measure of their intercepted arc AD
then ∠ ABD and ∠ ACD are congruent , so
11x - 3 = 8x + 15 ( subtract 8x from both sides )
3x - 3 = 15 ( add 3 to both sides )
3x = 18 ( divide both sides by 3 )
x = 6
then
∠ ABD = 11x - 3 = 11(6) - 3 = 66 - 3 = 63° , thus
arc AD = 2 × 63° = 126°
2/3 x 12 write in simplest form.
2/3 ×12
= 2/1 × 4
= 2× 4
=8
........
The height of a right triangular prism is 1 5/6 inches. Each side of the triangular base measures 10 inches, and the height of the base is 8 2/3 inches. The triangular prism is placed atop a cube whose side measures 10 inches so that one of the triangular prism's bases lies completely on one side of the cube.
What is the surface area of the solid formed?
Answer:
The surface area of the solid formed is about 598.33 in²
What is an area?
Area is the amount of space occupied by a two dimensional shape or object.
1 5/6 in = 11/6 in, 8 2/3 in = 26/3 in
Hence:
Surface area = 5(10 * 10) + (0.5 * 10 * 26/3) + 3(10 * 11/6) = 598.33 in²
The surface area of the solid formed is about 598.33 in²
Find out more on area at: https://brainly.com/question/25292087
In a recent year, 27.6% of all registered doctors were female. If there were 59,100 female registered doctors that year, what was the total number of registered doctors?
Answer:
214130
Step-by-step explanation:
27.6 /100 = 59100 / x
x = 214130
What is the answer to u/5+6=2 with work shown?
What is the slope of a line parallel to the line whose equation is 3x + 3y = -36.
Fully simplify your answer.
Answer:
-1
Step-by-step explanat
yes
Compare using < , > , or =-1.75 and -1 3/4
Answer:
1.75 = 1 3/4
Step-by-step explanation:
1 3/4 = 1.75
Answer:
=
Step-by-step explanation:
-1.75 is the same as -1 3/4
Circle A has a radius of 9.0 cm. The shortest distance between B and C on the circle is 8.5 cm. What is the approximate area of the shaded portion of circle A?
30.0 cm²
38.25 cm²
56.5 cm²
254.5 cm²
Answer:
38.25 cm²
Step-by-step explanation:
We use the formula for the length of an arc to find the central angle of the sector of the circle.
Then we use the formula for the area of a sector of a circle to find the area.
Length of arc of circle of radius r:
[tex] s = \dfrac{n}{360^\circ}2 \pi r[/tex]
s = arc length
n = measure of the central angle of the sector
[tex] s = \dfrac{n}{360^\circ}2 \pi r[/tex]
[tex] 8.5~cm = \dfrac{n}{360^\circ}2 \pi \times 9.0~cm[/tex]
[tex] n = 54.1^\circ [/tex]
Area of sector of circle of radius r:
[tex] A = \dfrac{n}{360^\circ} \pi r^2[/tex]
A = area of sector of circle
n = measure of the central angle of the sector
[tex] A = \dfrac{54.1^\circ}{360^\circ} \pi (9.0~cm)^2[/tex]
[tex] A= 38.25~cm^2 [/tex]
Find the smallest number by which 350
must be multiplied to give a perfect square.
Answer:
the smallest number by which 350 by answer is 15