Each boy in a class has 11 pockets and each girl in a class has 13 pockets. How many boys and girls are in this class if all 21 students have a total of 251 pockets?
Answer:
10 girls and 11 boys
Step-by-step explanation:
That is the answer!!
Answer:
There are 10 girls and 11 boys.
Step-by-step explanation:
Set up two equations. One equation is from the info that there are 21 total students. The other equation is from the calculation for the number of pockets. See image.
Please help. What is the area of the rhombus in simplest radical form? The figure is not drawn to scale.
The area of the rhombus in the simplest radical form is 87 units²
Properties of a rhombusAll the sides are equal.Opposite sides are parallel.Diagonals are perpendicular to each other.Opposite angles are equal.Therefore,
area of the rhombus = ab / 2
where
a and b are the diagonalsTherefore,
tan 60 = x / 5
x = 5 tan 60
x = 8.66025403784
x = 8.7 units
area of the rhombus = (8.7 ×2) (5 × 2) / 2 = 17.4 (10) / 2 = 87 units²
learn more on rhombus here: https://brainly.com/question/1542477
#SPJ1
can you please help me with my math work !!?
Answer:
B. x ~ 5
Step-by-step explanation:
This is a right isosceles triangle!
Answer:
c x=8.7
Step-by-step explanation:
length of the 2 shortest sides squared and the length of the longest side square would be x^2+25=100
x^2=75
which would be x=8.7
don't listen to the other answer
nothing on this picture proves this is an isosceles triangle. Pictures like these usually aren't according to scale
The equation d = 11 cosine (startfraction 8 pi over 5 endfraction t) models the horizontal distance, d, in inches of the pendulum of a grandfather clock from the center as it swings from right to left and left to right as a function of time, t, in seconds. according to the model, how long does it take for the pendulum to swing from its rightmost position to its leftmost position and back again? assume that right of center is a positive distance and left of center is a negative distance.
The time that is taken for the pendulum to swing from its rightmost position to its leftmost position and back again is 1.25 seconds
Calculations and Parameters:Given that this is a cosine equation,
At maximum, Cos (0) =1
At minimum, Cos (π) = -1.
Hence,
At the maximum:
8π/5 t = 0t = 0At the minimum:
8π/5 t = πt = 5/8t = 0.625Given that the time taken from max to min is 0.625 and also to min to max is also 0.625,
The total time taken would be:
0.625 + 0.625 = 1.25s
Read more about equations here:
https://brainly.com/question/2972832
#SPJ4
find two integers who’s sum is 20 and products is 100
Answer: 10
Step-by-step explanation:The answer is 10
Step-by-step explanation:
10+10=20
10 * 10= 100
Hope it helps you.
Put this equation into slope-
intercept form.
5x – 4y = 12
Answer:
[tex]y =\frac{5}{4}x+ ( -3)[/tex]
Step-by-step explanation:
Step 1: Subtract 5x from both sides
[tex]5x - 4y = 12[/tex]
[tex]5x - 5x - 4y = 12 - 5x[/tex]
[tex]-4y = 12 - 5x[/tex]
Step 2: Divide both sides by -4
[tex]\frac{-4y}{-4} = \frac{12}{-4} - \frac{5}{-4}x[/tex]
[tex]y =\frac{5}{4}x+ ( -3)[/tex]
Answer: [tex]y =\frac{5}{4}x+ ( -3)[/tex]
What is 9x8-7+4x10-2x7
Answer:
91
Step-by-step explanation:
9x8-7+4x10-2x7
72-7 + 40- 2x7
72 - 7 + 40 - 14
65 + 40 - 14
105 - 14
= 91
A is directly proportional to B. When A = 12, B = 3
Find the value of A when B = 3
Answer:
A = 12
Step-by-step explanation:
We can define ratio a to b as 12:3. If we are finding the value of A when B is 3, we go to the ratio. The ratio says that when B is 3, A is 12. Therefore, A is 12.
Answer:
A = 12
Explanation:
Given:
A ∝ B
set "k" constant
A = k(B)
Find "k"
12 = k(3)
k = 4
Then find A when B = 3
A = k(B)
insert values found
A = 4(3)
A = 12
Identify all points and line segments in the picture below
Answer:
should be the first one
Step-by-step explanation:
any point connected
Answer:
The answer is:
line segment D
Step-by-step explanation:
Points: A, B, C, D Line segments: Bar (AB), Bar (AC), Bar (BD)
Write the expression in repeated multiplication form. Then write the expression as a power.
(6^4)^2
The expression in repeated multiplication form is
The expression as a power is
Answer:
Step-by-step explanation:
a. (6)^(4*2) or (6^4)(6^4)(6^4)(6^4)
b. 6^8
What is the AREA of the figure below?
Answer: 12
Step-by-step explanation:
height x width
3 x 4 = 12
f(x) = x2. What is g(x)?
Answer:
A. g(x) = -x^2 - 3.
Step-by-step explanation:
If we reflect f(x) over the x -axis we get -f(x) which is the mirror image of f(x)
To get g(x) we then translate the image 3 units down,
g(x) = -x^2 - 3.
Examine the ordered pairs in this function.
(4.7). (-3,8). (11,14), (12.-6), (1, 10)
Which numbers are output values of the function?
Answer:
Then numbers 7 , 8 , 14 , -6 , 10 are output values of the function
16 > i - 4
Please help me solve this!! ( one-step inequalities )
Work Shown:
16 > i - 4
16+4 > i-4+4
20 > i
i < 20
In the second step, I added 4 to both sides to undo the -4
In the last step, I swapped both sides and I flipped the inequality sign.
If you want to graph this on a number line, then plot an open hole at 20. Then shade to the left to represent all the values smaller than 20.
Answer:
16>i-4
20>i
Step-by-step explanation:
All you have to do is reverse operation and add 4 to each side
NEED HELP ASAAAAP(WIll GIVE BRAINLIEST)
What is the formula of g in terms of f?
A.f(x+2)
B.f(x)-2
C.f(x)+2
D.f(x-2)
Answer:
D
Step-by-step explanation:
g(x) is f(x) shifted to the right by 2 units. Therefore, g(x) can be expressed as f(x-2).
Hope this helps!!!
Please mark me as brainliest!!!
P.S. I need one more brainliest to get Virturoso
i need help pllllzzzzz help help
Answer:
a = 84/14
Step-by-step explanation:
The next step you would divide by 14 to get a=6 so I think the program wants you to input a = 84/14
A window is shaped like a parallelogram
The base of the window is 14.25 inches.
The area is 356.25 square inches. What
is the height of the window?
Answer:
Do the area divided by the base on a calculator for the answer
Answer:
Height of the window= 25 inches
Step-by-step explanation:
Area of a parallelogram : base * height (of the side taken as base)
so height = area/base = 356.25/14.25 = 25 inches
Help please this needs to be turned in tommorrow soo im trying to rush and when i rush i cant focus
Answer: Hello! Hope this helps.
Step-by-step explanation: 6 - 7x/2
So its the first answer.
What is the equation of the following line? Be sure to scroll down first to see all answer options .
Answer:
f
Step-by-step explanation:
your welcome
Javier has four cylindrical models. The heights, radii, and diagonals of the vertical cross-sections of the models are shown in the table. A cylinder. Model 1 radius: 14 cm height: 48 cm diagonal: 50 cm Model 2 radius: 6 cm height: 35 cm diagonal: 37 cm Model 3 radius: 20 cm height: 40 cm diagonal: 60 cm Model 4 radius: 24 cm height: 9 cm diagonal: 30 cm In which model does the lateral surface meet the base at a right angle? Model 1 Model 2 Model 3 Model 4
The model in which the lateral surface meets the base at right angle is : Model 1.
What is a lateral surface?The lateral surface of an object is all surfaces of that object excluding its base and top.
Analysis:
To know the exact model, we check for the models in which their dimensions form a Pythagorean triplet otherwise a right-angled triangle.
For Pythagorean triplet, the square of the diagonal must be equal to the sum of squares of the other two sides.
Model 1
Diagonal = 50cm, radius = 14cm, lateral height = 48cm
[tex](50)^{2}[/tex] = [tex](14)^{2}[/tex] + [tex](48)^{2}[/tex]
2500 = 196 + 2304
2500 = 2500. Forms Pythagorean triplet
Model 2
Diagonal= 37cm, radius = 6cm lateral height = 35cm
[tex](37)^{2}[/tex] = [tex](35)^{2}[/tex]+ [tex](6)^{2}[/tex]
1369 = 1225 +36
1369 [tex]\neq[/tex] 1261
Model 3
Diagonal = 60cm, radius = 20cm lateral height = 40cm
[tex](60)^{2}[/tex] = [tex](20)^{2}[/tex] + [tex](40)^{2}[/tex]
3600 = 400 + 1600
3600 [tex]\neq[/tex] 2000
Model 4
Diagonal = 30cm, radius = 24cm, lateral height = 9cm
[tex](30)^{2}[/tex] = [tex](24)^{2}[/tex] + [tex](9)^{2}[/tex]
900 = 576 + 81
900 [tex]\neq[/tex] 657
Therefore the lateral surface model 1 meets the base at right angle
In conclusion, the lateral surface of model 1 meets the base at right angles as the dimensions form a right-angled triangle.
Learn more about Pythagorean triplet: brainly.com/question/20894813
#SPJ1
Answer:
the answer is B have an amazing day
Step-by-step explanation:
Help pleasseeeee!!!!
Which of the following statements is TRUE about using a quadrilateral to construct a parallelogram?
A. All sides of the quadrilateral must be congruent and all angles must be congruent?
B. Opposite sides of the quadrilateral must be parallel and opposite angles must be congruent.
C. The sides of the quadrilateral can be any length and the angles can be any measure.
D. Adjacent sides of the quadrilateral must be perpendicular and adjacent angles must be congruent.
Answer:
B. B. Opposite sides of the quadrilateral must be parallel and opposite angles must be congruent.
Answer: Opposite sides of the quadrilateral must be parallel and opposite angles must be congruent.
Step-by-step explanation:
If one pair of opposite sides of a quadrilateral are parallel and congruent, then the quadrilateral is a parallelogram. If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
DIFFICULT EXACT TRIGONOMETRY, NON-CALCULATOR, PLEASE HELP
Step-by-step explanation:
area of quadrilateral = sum of area of triangles
area of triangle ADC = .5 * b * h
= .5 * 12 * 5 = 30 km^2
area of ∆ABC = .5 * sinx* ab* ac
= .5 * sin 30 * 3* 13 = 39/4 = 9.75 km^2
area of quadrilateral = 39.75 km^2
total cost =$ 397.5 million
what is the solution in the equation X +3 equals 27
A 24
B 30
C 81
D 90
A+B+A+D=32
What does A+B=?
The value of A+B is 16
This question is related to division.To solve it, we will: divide the number after the equality, by the total number of variables (letters) that have.
A + B + A + D = 32
32 ÷ 4 = 8
< We know that the value of each variable is 8. So, to find the value of A + B, let's just add their respective values.
A + B
8 + 8 = 16
So, the value of A + B will be 16
Tom volunteered 1 out of the last 12 days at the school store. Which shows the decimal form of this ratio?
Answer:
0.0833
Step-by-step explanation:
1 out of 12 can be written as a fraction 1/12
Now we convert the fraction to a decimal with division. Using long division the 12 goes outside the division symbol and 1 on the side. 12 doesn't go into 1 so we add a decimal to the answer and a 0 after the 1. 12 doesn't go into 10 so we add another 0. 12 goes into 100 8 times. 8 goes on top after 0.08 and then we finish the long division. We would have 4 remaining. Add another 0. 12 goes into 40 3 times. This is then where the division becomes repetitive. With more threes. Depending on where youryou're supposed to Round to the answer is 0.0833
what's the answer for 3 ( x + 2) = 11+3x-5
Answer:
question is not correct
Step-by-step explanation:
3(x+2)=11+3x+5
3x+6=11+3x+5, once 3x is subjected from both sides it becomes unsolvable
Answer: Infinite solution
Step-by-step explanation: 3x + 6 = 11 + 3x - 5
-3x
6 = 11 - 5
6 = 6
Which number is a rational number?
square root of 15
2.438346835387
17.156
cube root of 85
What is the simplified value of the exponential expression 16 superscript one-fourth? 2 4
The simplified value of the exponential expression is 2.
How to get the simplified expression?
Here we need to simplify the expression:
[tex]16^{1/4}[/tex]
First, you need to remember that:
[tex]\sqrt[n]{x} = x^{1/n}[/tex]
Then we can just write:
[tex]16^{1/4} = \sqrt[4]{16}[/tex]
And now, you can remember that:
2*2 = 4
Then:
2*2*2*2 = 4*4 = 16
From this, we can conclude that:
[tex]2^4 = 16\\\\\sqrt[4]{16} = 2[/tex]
So we conclude that the simplified value is 2.
If you want to learn more about exponential expressions:
https://brainly.com/question/11464095
#SPJ4
Answer:
The simplified value of the exponential expression is 2.
How to get the simplified expression?
Here we need to simplify the expression:
First, you need to remember that:
Then we can just write:
And now, you can remember that:
2*2 = 4
Then:
2*2*2*2 = 4*4 = 16
From this, we can conclude that:
So we conclude that the simplified value is 2.
If you want to learn more about exponential expressions:
brainly.com/question/11464095
#SPJ4
Helppp meee please so confused
Answer:
1. Blue = 8 votes
2. Green = 4 votes
3. Yellow = 6 votes
4. Red = 2 votes the first 2 votes one
5. Pink = 2 votes the second one that says 2 votes.
Step-by-step explanation:
okay I understand this.
You just use the colors from above and fill them in in order.
Answer:
1.blue has got 8 number of votes
2.yellow has got 4 number of votes
3.green has got 6 number of votes
4.red has got 2 number of votes
and the last one is written there
Explanation:
I hope it helps
Does anybody know the measure of JLM?
Measure of ∠JLM = m∠60°