Step-by-step explanation:
60° + 60° + x + x = 180°. (Sum of angles in a triangle = 180°)
Therefore 2x = 60° and x = 30°.
Answer:
Step-by-step explanation:
2x + 60 = (180 - 60)
x = (180-120)/2
x = 30
A circle is inscribed in a square. If the sum of the perimeter of the square and the circumference of the circle is 100cm, calculate the radius of the circle.
Answer:
7 cm
Step-by-step explanation:
Let the side of square be x.
Perimeter of square = 4x
Diameter of circle = x
Radius of circle = x/2
Circumference of circle = 2 * 22/7 * x/2 = 22/7x
According to Question,
4x + 22/7x = 100
(28+22) / 7x = 100
50x = 700
x = 14
Hence, diameter of circle = 14 cm
Radius of circle = (14/2) cm = 7 cm
Ernesto baked 3 cakes in 2 1/2 hours. Assume that the number of cakes baked varies directly with the number of hours. Write and solve a direct variation equation to find how many cakes can he bake in 7 1/2 hours.
Answer: We assume that the number of cakes baked varies directly with the number of hours. Hence, he can bake 9 cakes in 7.5 hours.
Step-by-step explanation:
Please help me choose the right equation!!! I’m a taking a test and really want to pass!!!
Answer:
Step-by-step explanation:
The diffrence between 9 and half of a number is 16 what is the number?
Answer:
is this how the question is really wrote out. it doesn't look like english
Step-by-step explanation:
half of 9 is 4.5
Giving brainliest help I need it, ignore answers I put unless their right
Answer:
For the middle one 20 /9 or 2 and 2/9
Step-by-step explanation:
20 /9 or 2 and 2/9
Do you need help with the rest or no?
A ball bounces from a height of 8 feet. The ball bounces to 80% of its previous height with each bounce. How high (to the nearest tenth of a foot) does the ball bounce on the fifth bounce?
Answer:
2.6 feet
Step-by-step explanation:
At each point, there is a loss of 20% (since it flies to 80%)
a) 8 - 20% of 8
= 8-1.6 = 6.4
b) 6.4 - 20% of 6.4
= 5.12
c) 5.12 - 20% of 5.12
4.096
d) 4.096 - 20% of 4.096
3.2768
e) 3.2768 - 20% of 3.2768
= 2.62144 feet
The perimeter of the rectangle is 10. Find the value of x.
Answer:
Hi! Is there a picture?
Step-by-step explanation:
Answer:
The area equation to solve becomes \displaystyle x(x-4)=96, or \displaystyle x^{2}-4x-96=0. To factor, find two numbers the sum to -4 and multiply to -96. -12 and 8 will work: x2 ...
The number of girl child per family was recorded for 1000 families with 3 children. The data obtained was as follows: [2] Number of Girls 0 1 2 3 Number of Families 112 314 382 192 Suppose a family is chosen at random, find the probability that it has: (a). At most one girl (b). More girls than boys
Answer:
[tex]a.\ Probability = 0.426[/tex]
[tex]b.\ Probability = 0.574[/tex]
Step-by-step explanation:
Given
[tex]Total\ Families = 1000[/tex]
Number of Girls : 0 ----> 1 -----> 2 ------->3
Number of Families: 112 -> 314 --> 382 ---> 192
Solving (a): At most one girl
From the table, the number of families with at most one girl is: 112 + 314
i.e.
Number of Girls : 0 ----> 1
Number of Families: 112 -> 314
So, we have:
[tex]At\ Most\ One\ Girl = 112 + 314[/tex]
[tex]At\ Most\ One\ Girl = 426[/tex]
The probability is then calculated as:
[tex]Probability = \frac{At\ Most\ One\ Girl}{Total}[/tex]
[tex]Probability = \frac{426}{1000}[/tex]
[tex]Probability = 0.426[/tex]
Solving (b): More girls
From the table, the number of families with more girl is: 382 + 192
i.e.
Number of Girls : -----> 2 ------->3
Number of Families: --> 382 ---> 192
So, we have:
[tex]More\ Girls = 382 + 192[/tex]
[tex]More\ Girls = 574[/tex]
The probability is then calculated as:
[tex]Probability = \frac{More\ Girls}{Total}[/tex]
[tex]Probability = \frac{574}{1000}[/tex]
[tex]Probability = 0.574[/tex]
B Print
Find the slope of the line.
12
11
10
9
4
2
ol
5
9 10
The slope is
Using Point Slope Formula, write an equation that passes through (-2, 6) and ( 8, 9)
Answer:
y - 9 = 3/10(x - 8)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeStep-by-step explanation:
Step 1: Define
Point (-2, 6)
Point (8, 9)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute [SF]: [tex]\displaystyle m=\frac{9-6}{8+2}[/tex]Subtract/Add: [tex]\displaystyle m=\frac{3}{10}[/tex]Step 3: Write Function
Plug in variables into general form.
y - 9 = 3/10(x - 8)
y - 6 = 3/10(x + 2)
WILL GIVE BRAINLIEST!!! Which equation is modeled below? 4 x tiles and 2 negative 1 tiles = 2 x tiles and 4 1 tiles. 2 x + (negative 2) = negative 2 x + 6 4 x + (negative 2) = negative 2 x + 6 2 x + 4 = 6 x + 2 Negative 2 x + 4 = 6 x + (negative 2)
Answer:
B
Step-by-step explanation:
4x+ (-2) =-2x+6
just took the quiz
Answer:
B) 4 x + (-2) = -2 x + 6
Step-by-step explanation:
MATH PLS HELPPP BRANLIETS 5 POINTS!!!!!!!!!!
Answer:
A?
Step-by-step explanation:
I think it is A but I'm not 100% sure
Answer:
The total cost of riding in the taxi
Step-by-step explanation:
3y + 20 = 3 + 2y
A. -1/17
B.7 2/3
C. 23
D. -17
a mat is 3m long and xm wide what is the area in m²
Step-by-step explanation:
Area = Length * Width = (3m)(xm) = 3xm².
Red snapper cost $4.15 per pound find the cost of 3.5 pound round to the nearest cent
Answer:
$14.53 for 3.5 pounds of red snapper
Step-by-step explanation:
Answer:
14.52?
Step-by-step explanation:
i multiplied 4.15 by 3.5
In a candy mix there are 4 green bars for every 3 red bars. How many red bars are there if there are 200 green bars? A. 150 red bar's B. 199 red bars c.201 red bars d. 267 red bars
Step-by-step explanation:
4 green bars to 3 red bars
=> 200 green bars to 3 * (200/4) = 150 red bars.
There are 150 red bars. (A)
Answer:
Step-by-step explanation:
A - 150 is the a answer
4 green bars for every 3 red bars, take 3 red bars as one bucket so total we have 200/4 buckets which is 50
now 1 bucket has 3 green bars so total we have 3* 50 buckets which is 150
Solve the equation below for x:
0.25(x - 13) = 7
Answer:
x=41
Step-by-step explanation:
0.25(x-13)=7
We move all terms to the left:
0.25(x-13)-(7)=0
We multiply parentheses
0.25x-3.25-7=0
We add all the numbers together, and all the variables
0.25x-10.25=0
We move all terms containing x to the left, all other terms to the right
0.25x=10.25
x=10.25/0.25
x=41
The solution to the equation; 0.25(x - 13) = 7 as given is; x = 41
According to the question;
We are required to solve for x in the equation; 0.25(x - 13) = 7The solution to the given equation can be evaluated as follows;
0.25(x - 13) = 70.25x - 3.25 = 70.25x = 10.25x = 41.
Read more on one variable equation;
https://brainly.com/question/21528555
The figure shows triangle ABC inscribed in circle D.
If the measure of angle CBD = 44°, find the measure of angle BAC, in degrees. Explain each
step you take to solve using proper math vocabulary.
Unit 4a Question
B
Answer: 46
Step-by-step explanation:
Just got it on a test so I wanted to help you guys out. Thank you guys in the comment section of the other answer. That one is wrong.
What value of x is in the solution set of 8x - 6 > 12 + 2x?
O-1
O0
O3
O5
The answer of X will be equal (3)
Please help :((( will mark brainliest !
Answer: i think its c
hope its right
:)
can you please show the work on both of them?
Question 9)
From the line graph, taking two points
(-5, 4) (-6, 7)Finding the slope between (-5, 4) and (-6, 7)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-5,\:4\right),\:\left(x_2,\:y_2\right)=\left(-6,\:7\right)[/tex]
[tex]m=\frac{7-4}{-6-\left(-5\right)}[/tex]
[tex]m=-3[/tex]
We know that the slope-intercept of the line equation is
y = mx+b
where m is the slope and b is the y-intercept
substituting (-5, 4) and m = -3 in the slope-intercept of the line
y = mx+b
4 = -3(-5)+b
4 = 15+b
b = 4-15
b = -11
substituting b = -10 and m = -3 in the slope-intercept of the line
y = mx+b
y = -3x+(-11)
y = -3x - 11
Thus, equation is slope-intercept form will be:
y = -3x - 11
Hence, option B is true.
Question 10)
From the line graph, taking two points
(4, 7) (-8, 1)Finding the slope between (4, 7) and (-8, 1)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(4,\:7\right),\:\left(x_2,\:y_2\right)=\left(-8,\:1\right)[/tex]
[tex]m=\frac{1-7}{-8-4}[/tex]
[tex]m=\frac{1}{2}[/tex]
We know that the slope-intercept of the line equation is
y = mx+b
where m is the slope and b is the y-intercept
substituting (4, 7) and m = 1/2 in the slope-intercept of the line
y = mx+b
7 = 1/2(4)+b
7 = 2+b
b = 5
substituting b = 5 and m = 1/2 in the slope-intercept of the line
y = mx+b
y = 1/2x + 5
Thus, the equation is slope-intercept form will be:
y = 1/2x + 5
Hence, option C is true.
A plane travels north for 2.5 h at a velocity of 100 km/h. Another plane travels east for 4 hours at a velocity of 62.5 km/h. Which plane traveled the longer distance? Show all calculations
Answer:
The two planes have traveled the same distance.
Step-by-step explanation:
Given that:
Velocity of first plane traveling north = 100 km/h
Time taken by the plane = 2.5 hours
Velocity of second plane traveling north = 62.5 km/h
Time taken by the plane = 4 hours
To find:
Which plane traveled longer distance?
Solution:
First of all, let us have a look at the formula for finding the distance using velocity and time.
Formula is:
[tex]Distance = Velocity \times Time[/tex]
Distance traveled by first plane:
[tex]Distance_1 = 100\times 2.5\\\Rightarrow Distance_1 = 250 \ km[/tex]
Distance traveled by second plane:
[tex]Distance_2 = 62.5\times 4\\\Rightarrow Distance_2 = 250 \ km[/tex]
Here, we can clearly see that:
[tex]Distance _1 = Distance _2[/tex]
Therefore, the two planes have traveled the same distance.
In triangle △WXY, XY ≅ WX and m∠X=38 Find m∠W
Answer:
[tex]71^{\circ}[/tex]
Step-by-step explanation:
Since two sides of the triangle are equal in length, we can conclude that [tex]\triangle WXY[/tex] is an isosceles triangle. With this information, we can draw an isosceles triangle to find [tex]m\angle W[/tex]. Since the base angles of an isosceles triangle are equal, we can solve for [tex]m\angle W[/tex]:
[tex]38 + m\angle W + m\angle Y = 180[/tex] (Angle sum of triangle is [tex]180^{\circ}[/tex])
[tex]38+2(m\angle W) = 180[/tex] (Base angles of isosceles triangles are equal, there is an image attached to show that [tex]m\angle W[/tex] is one of the base angles)
[tex]2(m\angle W) = 142[/tex]
[tex]m\angle W=71^{\circ}[/tex]
Hope this helps :)
The conservation club has 32 members. There are 18 girls in the club. What is the ratio of girls to boys in simplest form?
79
916
97
716
Answer:
9:7
Step-by-step explanation:
number of boys is 32 - 18 = 14
ratio will be 18:14
then 9:7
Answer: 9:7 hope this help i did the quiz so i know answer
Step-by-step explanation:
What is the HCF of 200 and 240
Answer:
It is 40
Step-by-step explanation:
The highest common factor of 200 and 240 is 40
3.3 repeating as a fraction
Answer:
The correct answer is 33/100.
Step-by-step explanation:
To transform a decimal into a fraction, follow the steps below:
Step 1: Change the Fraction into a Decimal:
3.30 = 33/100
Step 2: Find the GCF of both numbers:
The GCF (Greatest Common Factor) of 33 and 10 is 1.
Step 3: Divide both numbers by the GCF:
3.30 =
33/1 ÷ 100/1 =
33/100
Therefore, the correct answer is 33/100.
Hope this helps! :D
3.3 repeating in fraction form will be 33/100.
The correct answer is 33/100.
Given, 3.3 in repeating form.
To transform a decimal into a fraction, follow the steps below:
Change the Fraction into a Decimal:
3.30 = 33/100
Find the GCF of both numbers:
The GCF (Greatest Common Factor) of 33 and 10 is 1.
Divide both numbers by the GCF:
3.30 = 33/1 ÷ 100/1
= 33/100
Therefore, the correct answer is 33/100.
Know more about fraction,
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#SPJ6
I need help pls with this question
PLEASE PLEASE HELP FAST!!
Find the value of x in the figure below. Show your work. A 9 in 9 in 2x-4 44° ОС B 13 in
Answer:
x=24 degrees
Step-by-step explanation:
2x-4=44 <----The triangle is isosceles, in which the two base angles are equal
2x=48 <-----Solve the equation
x=24 <-------Answer
Express the ratio 12:3:9 in its simplest form
Answer:
4:1:3
Step-by-step explanation:
[tex] {x}^{3} - 4x + \sqrt{{x}^{3} - 4x + 9 } = 3[/tex]
Help me please