Answer:
50 Boys
70 Girls
Step-by-step explanation:
Lets take the no. of boys = 5x
and girls = 7x
Total no. of students in ratio = 12x
Total no of students = 120
Therefore, 12x = 120
x = 10
So, no. of boys = 5x = 5*10 = 50
No. of girls = 7x = 7*10 = 70
WZ = 5.3 km, find the area of the shaded sectors to the nearest tenth. Please help
Answer: The area of the shaded sectors is 35.3 square kilometres
Step-by-step explanation: What we have here is a circle with center Z. Two sectors have been formed which are ZVW and ZYX. A careful observation reveals that both sectors are similar. If WY passes through the center Z then WY is a diameter. The same applies to VX, since it also passes through the center, therefore it is a diameter. Both lines intersect at the center, that makes both sectors to have the same radii which is 5.3 km and same applies to the angle subtended at the center of the sector, both angles are opposite angles formed by intersecting lines (opposite angles formed by intersecting lines are equal). On a straight line WY, the sum of angles ∠WZX and ∠YZX equals 180 degrees (Sum of angles on a straight line equals 180). Therefore;
WZX + YZX = 180
108 + YZX = 180
Subtract 180 from both sides of the equation
YZX = 72°
Therefore the area of shaded sector YZX is given as;
Area of a sector = (∅/360) x πr²
Where ∅ is 72, and r is 5.3
Area of sector = (72/360) x 3.14 x 5.3²
Area of sector = 0.2 x 3.14 x 28.09
Area of sector = 17.64
Having in mind that both sectors are similar (the same radii and the same central angle), the area of the shaded sectors shall be equal to 17.64 times 2 and that equals 35.28. (That is approximately 35.3 to the nearest tenth)
The area of the shaded sectors therefore is 35.3 square kilometres (35.3 km²)
Answer:
Area of the shaded region ≈ 35.3 km²
Step-by-step explanation:
Area of a sector = ∅/360 × πr²
angle on a straight line = 180°
Therefore,
∠vzw = 180 - 108 = 72°
∠yzx = 180 - 108 = 72°
Area = 72 /360 × 22/7 × 5.3²
Area = 72 /360 × 22/7 × 28.09
Area = 44494.56/2520
Area = 17.656571429
Area = 17.66 km²
The area is one portion of the shaded part , the area of the 2 shaded sector will be
Area of zvw + Area of zyx
Both area are same . They have same radius and the same angle.
Area of the shaded region = 17.66 + 17.66
Area of the shaded region ≈ 35.3 km²
PLS HURRY ILL GIVE BRAINLIEST
Which graph of ordered pairs shows a proportional relationship?
Answer:
B.)
Step-by-step explanation:
the pictures aren't loading but i think we have the same problem if this is on edge, b is a straight line that passes through the origin, a c and d do not line up
The graph of ordered pairs that shows a proportional relationship is: Graph 1
How to Identify the proportional relationship?A proportional relationship is defined as a relationship between two variables where the ratio of the variables is always the same. In other words, one variable is always a constant multiple of the other variable.
Graph 1: The rate of change of y with x for the two points are:
m = -2/1 = -2
m = -4/2 = -2
Graph 2: The rate of change of y with x for the two points are:
m = 3/1 = 3
m = -2/-2 = 1
Graph 3: The rate of change of y with x for the two points are:
m = -2/1 = -2
m = 1/-3 = --1/3
Graph 4: The rate of change of y with x for the two points are:
m = 1/2
m = 3/5
Thus, the only one that represents a proportional relationship is Graph 1
Read more about proportional relationship at: https://brainly.com/question/12242745
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Deena and Jackson tossed two coins at the same time. In five tosses, Deena got heads on both coins three times. In
50 tosses, Jackson got heads on both coins 12 times. What does this illustrate about theoretical and experimental
probability that both tossed coins will be heads?
A- Experimental probability is not affected by sample size
B- Experimental probability approaches theoretical probability when the sample size is large.
C- Smaller groups give more accurate results.
D- Larger groups have greater chance for error
When you get ready to get dressed for school you open your closet to find that you have the following choices: a red, blue, or white shirt: jeans or sweatpants; tennis shoes or sandals how many different outfits could be made with these choices
Answer:Why would I know?
Step-by-step explanation: get good fam
Answer:
12
Step-by-step explanation:
So you know you need three different articles of clothing
There are three different types of shirts, two types of pants, and two types of shoes
All you do is simply multiple the three by two and then two again
If it helps to branch it out so you visually see it, that is a great option
but in sum, 3x2x2 is 12, so there are 12 different combos
I need help please :)
m<4=(5x-33)., m<5=(2x+60).
Answer:
20x-13210x+300=10x+168Which congruence theorem can be used to prove △ABC ≅ △DEF?
Answer:
Hope this helps! If it doesn't let me know and I will try and answer it better!
Step-by-step explanation:
HL Congruence Theorem
This shows that _ AC ≅ . Therefore, △ABC ≅ △DEF by . Use the HL Congruence Theorem to prove that the triangles are congruent. A Given: ∠P and ∠R are right angles.
What are the solutions of the quadratic equation 49x2 = 9?
Answer:
49x^2 - 9 = 0
As there is no x term, we can pretty much guess we have a situation where we factlrise by something known aa difference of two squares, so to factorise it:
49 = 7^2
9 = 3^2
x^2 = (x)^2
so...
(7x - 3)(7x + 3) = 0
7x - 3 = 0 7x + 3 = 0
x = 3/7 x = -3/7
Step-by-step explanation:
I need help please and thank you
Answer:
28.26
Step-by-step explanation:
This is the formula for area of a circle
A = pi r^2
Substitute the given values
A = 3.14 (3)^2
A = 3.14 (9)
28.26
If a = 10 and b = 2; then three more than twice b is
Answer:
7
Step-by-step explanation:
Three more than twice b, where b equals 2, is calculated by doubling b to get 4 and then adding 3 to reach a total of 7.
Given that a = 10 and b = 2, we need to calculate what 'three more than twice b' is.
First, let's find twice b:
2 times b = 2 times 2 = 4Now, we add three to get 'three more than twice b':
4 + 3 = 7Therefore, 'three more than twice b' is 7.
Tell whether the line or segment is best described as a radius, chord, diameter, secant, or tangent of ⨀O
.
Answer:
Can you please provide a picture of the line/segment?
Step-by-step explanation:
Radius: line from center of circle to side
Diameter: double the radius, goes straight through middle of circle
Secant: line that intersects the circle in two different points
Chord: line that intersects the circle in exactly one point, called the point of tangency
hope that helps :)
ANSWER ASAP!
How many solutions does this system have?
y=3x-5
y=-x+4
one
two
an infinite number
no solution
Given:
R = {1, 2, 3, 4}
A = {0, 2, 4, 6}
P= {1, 3, 5,
하가
What is Rn P?
Find the Slope
Screenshot attached
Answer:
red one
Step-by-step explanation:
you do rise over run
Answer:
4/3
Step-by-step explanation:
you are going up 4 and right 3 therefore its positive because if it were negative it would be down 4 left 3
A spinner is split into 4 equal parts labeled 1, 2, 3, and 4. What is the probability of landing on an even number? (Write your final answer as a percentage.) P(event) =
Answer:
50%
Step-by-step explanation:
Because there are 4 numbers. 2 even, 2 odd if you add those its gonna be 4 numbers so theres a 50% chance you will land on 50%
Enlarge the triangle by scale factor 0.5 using 3,1 as the centre of enlargement
Answer:
the points are :
(0,-1)
(0,0)
(-1,3)
(If you are using MathsWatch) For this question the triangle gets smaller so i'm not sure why it says Enlarge the triangle.
To enlarge the triangle by a scale factor of 0.5 with a center of enlargement at (3,1), multiply the coordinates of each vertex by 0.5 and add 3 to the x-coordinate and 1 to the y-coordinate.
Explanation:To enlarge the triangle by a scale factor of 0.5 with a center of enlargement at (3,1), you will need to multiply the x-coordinate and y-coordinate of each vertex of the triangle by 0.5 and then add 3 to the x-coordinate and 1 to the y-coordinate. This will give you the new coordinates for the enlarged triangle. For example, if the original triangle has vertices A(1,2), B(3,4), and C(5,6), the new coordinates for the enlarged triangle will be A'(3.5,2.5), B'(4.5,3.5), and C'(5.5,4.5).
Learn more about Enlargement of a triangle here:
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Find the surface area of a cylinder with a base radius of 4m and a height of 5m.
Write your answer in terms of pi, and be sure to include the correct unit.
Answer:
A≈226.19
Step-by-step explanation:
The formula is A=2πrh+2πr²
you fill in the radius and get A=2π4h+2π4²
Then fill in the height and get A=2π4×5+2π4²
and your final answer would be A≈226.19
Help out please thank you
Answer:
x = 26
Step-by-step explanation:
The three angles form a straight line, so they will sum to 180
4x - 8 + 34 + 76- x = 180
Combine like terms
3x+ 102 = 180
Subtract 102 from each side
3x+102-102 = 180-102
3x= 78
Divide each side by 3
3x/3 = 78/3
x = 26
Please help me.Find the value of x in the isosceles triangle shown below
There is an isosceles triangle.
The triangle is like two right triangles put together.
To find out the height of the triangle, we remove the other right triangle and we use the other triangle to find the height using the Pythagorean theorem.
Phytagoras Theorem :
b² = c² - a²
x² = 8² - (6÷2)²
x² = 64 - 3²
x² = 64 - 9
x² = 55
x = √55
So, the value of x is √55 (B)
Hope it helpful and useful :)
The point A(-8,6) is translated using T: (x,y) = (x + 5. y - 4).
What is the distance from A to A'?
Step-by-step explanation:
For this problem, we can simply plug in the coordinate point into the given formula.
(-8, 6) = (-8 + 5, 6 - 4)
(-8, 6) = (-3, 2)
So, A' is at point (-3, 2)
Now, we have to find the distance from A to A'. We can use the distance formula.
[tex]d=\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
[tex]d=\sqrt{(-3-(-8))^2+(2-6)^2}[/tex]
[tex]d=\sqrt{(5)^2+(-4)^2}[/tex]
[tex]d=\sqrt{25+16}[/tex]
[tex]d=\sqrt{41}[/tex]
So, the distance between A and A' is about 6.4 units.
Plot on the number line. Which inequalities are
true? Check all that apply.
00
09 <0.9
10.9 <1
0.9>
<1
Answer:
0 < 0.9 0.9 < 1
Step-by-step explanation:
Need help. Where x= 1/3 y = 3/5 z = 2 1/4 work out the value of x * y * z give your answer as a fraction in its simplest form.
Need to see workings here for points.
Answer:
I think that's the answer according to my maths teacher how he taught me
Can someone help me with this
Answer:
8/3 or 2 2/3 as a mixed number
Step-by-step explanation:
if p(x) is a cubic function and q(x) is a linear function that is a factor of p(x) what type of function is r(x)
Answer:
R(x) Is The Revenue Function
Explanation: The revenue function R(x) is for when particular products are given. The function is valid only for the specified ranges of value.
I Hope This Helps You Out. I Hope You Have A Great Rest Of The Week.
what are some examples and non examples of slope?
Answer:
Notice that the hill is moving downward from left to right. We can think of the car as driving down to the bottom of a hill. Yes, it could drive back up the hill, but the hill still has a negative slope because of its downward direction from left to right.
Step-by-step explanation:
(happy to help)
Which points are located on this graph? Check all that
apply.
A: (1,1)
B: (2,4)
C: (-3,0)
D: (0,3)
E: (3,5)
F: (1,4)
Answer:
C. (-3,0)
D. (0,3)
F. (1,4)
Step-by-step explanation:
Each of these points are intersected by the line given. Remember that the first number in an ordered pair is how far it is on the x-axis (vertical), and the second on the y-axis (vertical).
The way I remember this is that you have to walk down the hall (x-axis) before you can go up the elevator (y-axis).
After plotting the points, determine which are on the line, and those will be your correct choices.
What is the length of jL
Answer:
The length of JL is 18 feet
Step-by-step explanation:
This is true because the sides double in length
Answer:
18 ft
Step-by-step explanation:
The triangles are similar so the ratios must be the same
GI IH
--------- = -------------
JL LK
9 12
--------- = -------------
JL 24
Using cross products
9 *24 = JL *12
Divide each side by 12
9*24/12 = JL*12/12
18 = JL
A bag contains 19 red marbles, 29 green marbles, and 18 blue marbles. You choose a marble at random
from the bag. What color marble will you most likely choose?
Answer:
green
Step-by-step explanation:
You will be most likely to choose green since there are more green marbles in the bag than any other marble color
19 red marbles, 29 green marbles, and 18 blue marbles
What is the slope between the points (0,–5) and (–9,1)?
The slope between the points (0, –5) and (–9,1) is -2/3, which is found using the slope formula. Positive slopes rise, negative slopes fall, and zero slopes are horizontal lines.
Explanation:To find the slope of a line passing through two points (0, –5) and (–9,1), we use the formula for the slope (m), which is m = (y₂ - y₁) / (x₂ - x₁), where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.
Substituting the given points into the formula, we get m = (1 - (-5)) / (-9 - 0), which simplifies to m = (1 + 5) / (-9), and further simplifies to m = 6 / (-9), resulting in a slope of m = -2/3.
Regarding slope and its characteristics on a graph, a positive slope means the line rises as it moves from left to right, a negative slope means the line falls as it moves from left to right, and a zero slope indicates a horizontal line.
HELP A 13 YEAR OLD PLEASEEEEEEEEEEEEEEEEEE
Answer:
A and B
Step-by-step explanation:
also hey becky!