Answer: 3:9, 1:3, 12:36
Step-by-step explanation: just multiply or divide your numerator and denominator by the same number. For the first one, I divided both 6 and 18 by 3, for the second I divided both 6 and 18 by 6, and for the last one I multiplied both 6 and 18 by 2. Hope this helps.
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.
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Answer:
70
Step-by-step explanation:
BECAUSE
A water sprinkler sends water out in a circular pattern. How large is the watered area if the radius of the watering pattern is23ft ft?
Answer:
Step-by-step explanation:
Simply put, it is similar to finding the area of a circle.
Therefore, a=pi*r^2
a=pi*23^2
a=529pi
a=1661.9 ft^2
Can someone help me pls
Answer:
The angle of KLM is 50°
Step-by-step explanation:
Used protractor
Answer:
∠ KLM ≈ 33.7°
Step-by-step explanation:
using Pythagoras' identity in right triangle JKM
KM² = JK² + JM² = 7² + 4.5² = 49 + 20.25 = 69.25 ( take square root of both sides )
KM = [tex]\sqrt{69.25}[/tex] ≈ 8.322 cm
using the sine ratio in right triangle KLM
sin KLM = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{KM}{LM}[/tex] = [tex]\frac{8.322}{15}[/tex] , then
∠ KLM = [tex]sin^{-1}[/tex] ( [tex]\frac{8.322}{15}[/tex] ) ≈ 33.7° ( to 3 significant figures )
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
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
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
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
The leg lengths of a right triangle are 14 in and 26 in. What is the length of the missing side?
Answer:
29.5
Step-by-step explanation:
14sq + 26sq = 872
sq root of 872 is 29.5
this is due today! please help and i will give 50 points
Answer:
D) 154 ft²
Step-by-step explanation:
Formula
Area of a rectangle = width x length
We only need to calculate the area of the walls.
There are two pairs of walls with the following dimensions:
5 ft x 7 ft6 ft x 7 ftTherefore, area to paint = 2(5 x 7) + 2(6 x 7)
= 70 + 84
= 154 ft²
Bottom cube 's LSA need to be counted
H=7ftL=6B=5LSA:
2H(L+B)2(7)(5+6)14(11)154ft²What is the answer to u/5+6=2 with work shown?
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]
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]
Convert km into cm
10 points available
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)
[tex]\sqrt{180}=a\sqrt{b}[/tex]
please help
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
Find the side labeled x.
Answer:
4√3
Step-by-step explanation:
Hello!
This is a 30° 60° 90° because it has a 90° angle, a 30° angle, and the missing angle is 60° (sum of angles in a triangle is 180°). This triangle has special properties.
In a 30°-60°-90° triangle, the leg opposite 30° is always half the hypotenuse.
This means that the hypotenuse would be 2 times 4, or 8.
The leg opposite to 60° in a right triangle of this sort is the length of a leg multiplied by √3.
So the measure of x is 4√3.
An image is attached for your reference.
The value of side labeled x using Trigonometric ratio is [tex]{4}{\sqrt 3}[/tex].unit.
Given:
Angle = 30
Perpendicular or opposite side= 4
Using Trigonometric ratio
tan 30 = Opposite side / Adjacent side
Substituting Opposite side= 4 and Adjacent side = 4 in above ratio
So, tan 30 = 4 / x
As, the value of tan 30 = [tex]\dfrac{1}{\sqrt 3}[/tex] then
tan 30 = 4 / x
[tex]\dfrac{1}{\sqrt 3}[/tex] = [tex]\dfrac{4}{x}[/tex]
solving for x
x = [tex]{4}{\sqrt 3}[/tex]
Thus, the value of x is [tex]{4}{\sqrt 3}[/tex].
Learn more about Trigonometric ratio here:
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solve pls brainliest
Answer:
63
Step-by-step explanation:
Multiply each side by 9
4y=252
Divide by 4
y=63
Answer:
y= 63
Step-by-step explanation:
Which of the following is an expression
A. 7x = 4
B. 7 = x = 4
C. 7 - x
D. 7n - 3 = 32
Answer:
c 7-x
Step-by-step explanation:
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:
The enrollment at Allenton High School is expected to decrease by 5% each year.
There are currently 720 students at the high school. The following function can be used to approximate the
number of students who will be enrolled at Allenton High School in tyears from now.
ald) = 720(1 – 0.05)
A. In how many years will the high school have approximately 450 students?
Round your solution to the nearest hundredth of a year. Show your work.
Answer:
around 8 or 9 years
Step-by-step explanation:
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.
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 .
2/3 x 12 write in simplest form.
2/3 ×12
= 2/1 × 4
= 2× 4
=8
........
1. Find the common ratio of the geometric sequence
6, 30, 150, 750, ....
Answer:
Each number multiplies by 5
Step-by-step explanation:
6x5 = 30
30 x 5 = 150
150 x 5 = 750 etc.
(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:
How many different triangles can you make if you are
given these three measurements for angles?
Answer:
1
Step-by-step explanation:
If you're given 3 side lengths and 3 measurements of the angles , there's only one triangle that you may draw. You also can draw distinctive triangles given 3 aspect lengths or aspect lengths and the blanketed distinctive measure.
Answer:
1
Step-by-step explanation:
if you are given 3 measurements you are kind of stuck making that one triangle, no matter which way you shape it you have to have those three angles so you can't make more than that one triangle
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:
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