Answer:
56
Step-by-step explanation:
If each child gets 2 sweets then we have to multiply the number of children by 2.
[tex]28 \times 2 = 56[/tex]
Answer:
30 sweets.
Add 28 and 2.
PLEASE HELP WILL GIVE BRAINLEST! Which graph represents the trigonometric function given below
Answer:
Goodluck and look at the pic
Solve the system of equations by the substitution method.
10x + 2y = 2
- 5x = y + 10
Select the correct choice below and, if necessary, fill in the answ
-2(8f+9)-6n use f=5 and n=7
Answer: Correct me if I am wrong, but this is how I think you should solve it.
Step-by-step explanation:
1. Simplify 8×5 to 40.
−2×(40+9)−6×7
2. Simplify 40+9 to 49.
−2×49−6×7
3. Simplify −2×49 to −98.
−98−6×7
4. Simplify 6×7 to 42.
−98−42
5. Simplify
−140
Your all done! Hope this helps.
What's the square root of Pi times the c length of a right triangle with the a measurement of 12 and the b measurement of 10?
Answer:
[tex]2\sqrt{61\pi }[/tex]
Step-by-step explanation:
Let's find c by using the Pythagorean Theorem: [tex]10^2 + 12^2 = c^2[/tex] so [tex]c = \sqrt{10^2 + 12^2}[/tex]. I'm going to leave c like this so it is easier to multiply by [tex]\sqrt{\pi }[/tex]. [tex]c\sqrt{\pi } = \sqrt{10^2 + 12^2}\sqrt{\pi } = 2\sqrt{61\pi }.[/tex]
Hope this helped! :)
What is the area of a triangle whose vertices are R(3, 4), S(6, 2), and T(7, 10)?
Enter your answer in the box.
According to Heron's formula, the area of a triangle whose vertices are R(x, y) = (3, 4), S(x, y) = (6, 2) and T(x, y) = (7, 10) has a value of approximately 14.525 units.
How to calculate the area of a triangle by knowing its sides
In this question we must determine the lengths of the three sides of the triangle by Pythagorean theorem and then the area is determined by Heron's formula.
First, we determine the length of each side:
[tex]RS = \sqrt{(6-3)^{2}+(2-4)^{2}}[/tex]
[tex]RS = \sqrt{3^{2}+(-2)^{2}}[/tex]
[tex]RS = \sqrt{13}[/tex]
[tex]ST = \sqrt{(7-6)^{2}+(10-2)^{2}}[/tex]
[tex]ST = \sqrt{1^{2}+8^{2}}[/tex]
[tex]ST = \sqrt{65}[/tex]
[tex]RT = \sqrt{(7-3)^{2}+(10-4)^{2}}[/tex]
[tex]RT = \sqrt{4^{2}+6^{2}}[/tex]
[tex]RT = \sqrt{80}[/tex]
Now we calculate the area of the triangle by Heron's formula:
[tex]s = \frac{\sqrt{13}+\sqrt{65}+ \sqrt{80}}{2}[/tex]
s ≈ 10.306
[tex]A = \sqrt{10.306 \cdot (10.306 - \sqrt{13})\cdot (10.306 - \sqrt{65})\cdot (10.306 - \sqrt{80})}[/tex]
A ≈ 14.525
According to Heron's formula, the area of a triangle whose vertices are R(x, y) = (3, 4), S(x, y) = (6, 2) and T(x, y) = (7, 10) has a value of approximately 14.525 units.
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(a) The angle pitch of a roof is safest when measuring between 18° – 27°. According to these guidelines, is the roof pictured in the image safe?
(b) What is length of the roof line (segment PR)? Round answer to the nearest tenth of a foot and show all your work.
Find Q
tanQ=Perpendicular/BasetanQ=4/15tanQ=0.26Q=tan^-¹(0.26)Q=14.6°Not safe
Apply Pythagorean theorem
PR²=4²+15²=16+225=241
PR=√241Answer:
a) not safe
b) 15.5 ft (nearest tenth)
Step-by-step explanation:
Part (a)Tan trig ratio
[tex]\sf \tan(\theta)=\dfrac{O}{A}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleGiven:
[tex]\theta[/tex] = xO = PV = 4 ftA = RV = VQ = 15 ftSubstituting the given values into the formula and solving for x:
[tex]\implies \sf \tan(x)=\dfrac{4}{15}[/tex]
[tex]\implies \sf x=\tan^{-1}\left(\dfrac{4}{15}\right)[/tex]
[tex]\implies \sf x=14.9^{\circ}\:(nearest\:tenth)[/tex]
As 14.9° is not between 18° and 27°, the roof is not safe.
-------------------------------------------------------------------------------------------------
Part (b)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 = RV = VQ = 15 ftb = PV = 4 ftc = PRSubstituting the given values into the formula and solving for PR:
[tex]\implies \sf 15^2+4^2=PR^2[/tex]
[tex]\implies \sf 225+16=PR^2[/tex]
[tex]\implies \sf PR^2=241[/tex]
[tex]\implies \sf PR=\sqrt{241}[/tex]
[tex]\implies \sf PR=15.5\:ft\:(nearest\:tenth)[/tex]
Someone please help! Giving brainliest!
Membership to a music club costs $120. Members pay $20 per music lesson and nonmembers pay $35 per music lesson. How many music
lessons would have to be taken for the cost to be the same for members and nonmembers?
Answer: The answer is three
Step-by-step explanation:
help me whats 93458 divided by 19435
scan qr code for assignment question!
Answer:
[tex]\frac{93458}{19435}[/tex] ≈ 4.81
Step-by-step explanation:
[tex]\frac{93458}{19435}[/tex] can not be simplified
5-2i-2(3+i) can you help me with this answer
Answer:
-1 - 4 i
Step-by-step explanation:
5 - (2 * i) - (2 * (3 + i)) =
-1 - 4 i
Sydney is considering two jobs. One job pays $45,000 per year. The other job pays a
weekly salary of $950. Which job pays better?
Answer:
The first job pays more
Step-by-step explanation:
950 x 3 = One month pay = 2,850
2,859 x 12 = One year = 34,308 Per Year
Comparing them both
$45,000 One Year, First Job
$34,308 One Year, Second Job
[tex]\log _ { 5 } ( 2 m + 5 ) = 3log5(2m+5)=3[/tex]
solution needed
with briefly explained
Answer:
m = 60
Step-by-step explanation:
log is another way to write an exponent.
Example:
exponent form:
7^2 = 49
log form:
log_7 (49) = 2
In your question, we need to change to exponent form, from log form.
log_5 (2m+5)=3
5 is the base. 3 is the exponent.
Now it can be solved.
5^3 = 2m+5
125 = 2m + 5
120 = 2m
60 = m
4. Arrange these lunch buyers from greatest to least assuming they buy lunch 5 days per week and there are four weeks in a month: Alice: $3 per day, Betty: $25 every two weeks, Cindy: $75 per month
Answer:
greatest to least: cindy, betty, alice
Step-by-step explanation:
multiply each amount by 20- 5 days times 4 weeks
3*20=60 for alice
25*3=75 betty
75*3=225 cindy
Aide moi svp ses pour demain
Answer:
Step-by-step explanation:
E= 10/11 f=-5/9 G=4/10 H=-8/12
An elementary class consists of 8 boys and 10 girls. A child is chosen at random and it is a girl. A second child is randomly chosen again from the remaining children, and it is a boy. Was the probability of choosing the boy dependent on choosing a girl first
Answer:
Yes
Step-by-step explanation:
So we know the second child was a boy however if the first child was a boy, the probability of getting a second boy would be 7/17 since one boy is missing and one person is missing from the total.
However, if a girl was chosen as the first child, the probability of getting a boy second would be 8/17 since no boys would be missing but one person would be missing from the original total.
The radio of the base of two cylindrical tins are r and 3r respectively .if the water level in A is 18cm high , what would be the height of the same quantity of water in B
Answer:
2 cm.
Step-by-step explanation:
Volume of the water is the same in the 2 cyinders,
Volume of water in A = π r^2 * 18.
Volume in B = π (3r)^2 * h.
So 18πr^2 = 9π r^2 h
18 = 9h
h = 18 / 9
= 2
which number(s) have a 5 that is 10 x the value than the 5 in 13.725?
(a) 5.368
(b) 12.459
(c) 57.31
(d) 6.508
(e) 4.315
(f) 7.65
Answer:
(b) 12.459 and (f) 7.65
Step-by-step explanation:
The value of 5 in 13.725 is 0.005 (or 5 in the thousandths place)
We need to find numbers with 10 times that value in the number.
0.005 x 10 = 0.05 (or 5 in the hundredths place)Evaluating the options given :
(a) 5.368
The value of 5 in this number is 5 in the unit place (No ×)(b) 12.459
The value of 5 in this number is 5 in the hundredths place (Yes √)(c) 57.31
The value of 5 in this number is 5 in the tens place (No ×)(d) 6.508
The value of 5 in this number is 5 in the tenths place (No ×)(e) 4.315
The value of 5 in this number is 5 in the thousandths place (No ×)(f) 7.65
The value of 5 in this number is 5 in the hundredths place (Yes √)Hence, the numbers are : (b) 12.459 and (f) 7.65
Answer:
b and f
Step-by-step explanation:
The 5 in 13.725 is in the thousandth place: 0.005
So three places after the decimal point.
If you multiply 0.005 by 10, then it becomes 0.05 (as multiplying by 10 moves the decimal point one place to the right).
Therefore, we are looking for numbers that have a 5 in the hundredth place, so a 5 in the second place after the decimal point.
There are two numbers that have a 5 in the hundredth place:
(b) 12.459
(f) 7.65
in the figure below lines p and q are parallel. what do you notice? IREADY
100 points
Answer:
alternate interior anglesthe sameStep-by-step explanation:
The problem is concerned with angles 4 and 5, which lie between the lines given as parallel. They are on opposite sides of the line cutting across those parallel lines (the transversal), so they are ...
alternate interior anglescongruent__
Being congruent angles, their measures are ...
equalthe same_____
Additional comment
For questions like this, there are many descriptions that are true. It would be helpful to know the possible answer choices.
2. Noah is solving the equation x² + 8x + 15 = 3. He begins by rewriting the
expression on the left in factored form and writes (x + 3)(x + 5) = 3. He
does not know what to do next.
Noah knows that the solutions are x = -2 and x = -6, but is not sure how
get to these values from his equation.
Solve the original equation by completing the square.
Answer:
The solution set is {-6, -2}.
Step-by-step explanation:
x^2 + 8x + 15 = 3
x^2 + 8x = -12
Completing the square:
(x + 4)^2 - 16 = -12
(x + 4)^2 = 4
Taking square roots of both sides:
x + 4 = +/- 2
x = 2 - 4 = -2 or x = -2-4 = -6.
A triangular prism that has a volume of 24 cubic inches is changed by a scale factor of 5. Find the volume of the dilated cube.
A. 120
B. 600
C. 3000
D. 3600
==========================================================
Reason:
If the linear scale factor is 5, then the volume scale factor is 5^3 = 125
Meaning we'll multiply the old volume by 125 to get the new volume
new volume = 125*(old volume)
new volume = 125*(24)
new volume = 3000
---------------
A more in-depth look:
Consider a 2 by 2 by 2 block. Its volume is 2*2*2 = 8
Now multiply each dimension by 5, so we now have a 10 by 10 by 10 block. The new larger volume is 10*10*10 = 1000
The volume ratio is 1000/8 = 125, which matches with the value found earlier.
Since we multiplied each piece by 5, and did so three times, we're really multiplying the volume by 5*5*5 = 125.
Which statement is true about the end behavior of the
graphed function?
• As the x-values go to positive infinity, the function's
values go to negative infinity.
• As the x-values go to zero, the function's values go
to positive infinity.
• As the x-values go to negative infinity, the function's
values are equal to zero to
O As the x-values go to positive infinity, the function's
values go to positive infinity.
Answer:
D. As the x-values go to positive infinity, the function's values go to positive infinity.
Step-by-step explanation:
the answer on edge 2022
As the x-values go to positive infinity, the function's values go to positive infinity. The correct option is D.
What is a function?A function is a mathematical formula that describes how the dependent variable and independent variable are related. The dependent variable's value varies in the function together with the independent variable's value.
The correct option is D that as the x-values go to positive infinity, the function's values go to positive infinity.
In mathematics, a function is a rule that gives each input value in a set a distinct output value. A function is, more precisely, a collection of ordered pairs (x, y), where each x-value is matched with precisely one y-value.
The variable x normally represents the input values, also known as the independent variable, while the variable y typically represents the output values, also known as the dependent variable. Typically, a symbol like f(x), where f is the function's name and x is the input variable, is used to represent a function.
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The length of AB is four times the length of BC.
AC = 75 cm.
=
What is 8.92 cm² Converted To Meters?
[tex]8.92 ~ \text{cm}^2\\\\=8.92 \times \left( 1 ~ \text{cm} \right)^2\\\\=8.92 \times \left(10^{-2}~ \text{m} \right)^2~~~~~~;\left[1~ \text{cm} = \dfrac{1}{100}~ \text m} = 10^{-2}~ \text{ m} \right]\\\\=8.92 \times 10^{-4}~ \text{m}^2\\\\=0.000892~ \text{m}^2[/tex]
please help mee i will give brainliest
Answer:
420*3/2 = 630
630/60 = 10.5
=> B direction isn't relevant with velocity
Answer:
A. 10.5
Step-by-step explanation:
I divided 450 by 40 for the velocity of 10.5 brainliest please!!
The expression 3200(1.06)^t represents the
enrollment of a high school t years after 2000.
describe how the enrollment changes
each year.
a. increases 1.06%
b. increases 6%
c. decreases 1.06%
d. decreases 6%
Expression 3200(1.06)^t represents the enrollment of a high school t years after 2000 will increase by 6%.
What is the percentage?The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.
The given expression is as follows:-
= 3200 ( 1.06 ) [tex],^t[/tex]
Here when the time has increased the percentage is also increased by 6%.
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Please Help! I need This quickly!!!
The area of the smallest box that a circular pizza will fit into = 1661 squared cm.
What is Area of Circle?
The area of a circle is the amount of space enclosed within the boundary of a circle. The region within the boundary of the circle is the area occupied by the circle.
The circular pizza requires the same amount of dough as the square pizza.
Area of the square pizza =40 cm * 40 cm
= 1600 [tex]cm^{2}[/tex].
Area of circle= [tex]\pi\; r^{2}[/tex]
1600 = 3.14 *[tex]r^{2}[/tex]
[tex]r^{2}[/tex] = 510
r= 22.58
r = 23 cm approx.
Area of circle= [tex]\pi\; r^{2}[/tex]
= [tex]3.14 * (23)^{2}[/tex]
= 1661.06 squared cm
The area of the smallest box that a circular pizza will fit into = 1661 squared cm.
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The equation of a straight line is given a x = 2y - 1 Write the equation in the form y = mx + c
Answer:
2y = x - 1
Step-by-step explanation:
y = 2y
mx = x
c = -1
Leah is going to invest $30,000 and leave it in an account for 7 years. Assuming the interest is compounded daily, what interest rate, to the nearest tenth of a percent, would be required in order for Leah to end up with $40,000?
The interest rate which is required in order for Leah to end up with $40,000 in his account which is compounded daily, is 4.11%.
What is compound interest?Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.
The formula for the final amount with the compound interest formula can be given as,
[tex]A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\[/tex]
Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.
Leah is going to invest P=$30,000 and leave it in an account for t=7 years.
The interest is compounded daily.The final amount of A is $40,000?Put the values in the above formula to find rate of interest.
[tex]A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\40000=30000\times\left(1+\dfrac{r}{12\times30\times100}\right)^{12\times30\times(7)}\\r=4.11 \5[/tex]
Thus, the interest rate which is required in order for Leah to end up with $40,000 in his account which is compounded daily, is 4.11%.
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Building a Storage Container
You are being asked to design an enclosed water storage container. You are given a budget of
$100 to build the container. It has been determined that the best material to make the container
costs $10 per m². (In other words your surface can not cost more than $100.) What is the
largest amount of water your container can hold? You will need to explain to your boss the
reasoning because they have a business degree and do not really remember any of their
geometry work from school.
Answer:
2973.5 liters
Step-by-step explanation:
You are being asked to find the volume of the largest possible container that has a given surface area. The volume will depend on the shape. If shape is not specified, we know a sphere has the largest volume for a given area.
__
areaThe available area is ...
($100) / ($10/m²) = 10 m²
diameterThe area of a sphere with diameter d is ...
A = πd²
Then the diameter for the given area is ...
10 m² = πd²
(10/π) m² = d² . . . . . divide by π
√(10 m²/π) = d ≈ 1.78412 m . . . . . . diameter of the largest sphere
volumeThe volume of a sphere is given by ...
V = 4/3πr³ = (π/6)d³
For the diameter found above, the volume of the sphere will be ...
V = (π/6)(1.78412 m)³ ≈ 2.97354 m³
There are 1000 liters in a cubic meter, so the largest amount of water that can be contained is ...
2.97354 m³ × (1000 L/m³) = 2973.54 L
The largest amount of water the container can hold is about 2973.5 liters.
please help!! i’ll give brainliest
Solve for x.
x = [?]
Answer:
3x +18+4x+15=180
7x+33=180
7x=180-33
7x=147
7x÷7=147÷7
x=21
Answer:
[tex]\boxed{\bf x = {21}^{o} }[/tex]
Step-by-step explanation:
We know that the sum of angles of a linear pair is always equal to 180°, they are also known as supplementary angles.
[tex]\sf 3x + 18 + 4x + 15 = {180}^{o} [/tex][tex]\sf 7x = 180 - 18 - 15[/tex][tex]\sf 7x = 147[/tex][tex]\sf \cfrac{ 7x}{7} = \cfrac{147}{7} [/tex][tex]\sf x = {21}^{o} [/tex]«•••••••••••••••«»•••••••••••••••»
someone please help me and solve for the unknowns and give reasons please
or can you just solve for the unknowns please
Answer:
Step-by-step explanation:
The angles labeled with 2x, 4x, and 3x are on a straight line so their sum is equal to 180
2x + 4x + 3x = 180 add like terms
9x = 180 divide both sides by 9
x = 20
The angle represented with 3x - 30 and the angle represented with 2x + 10 are alternate and their measurement is same
3x - 30 = 2x + 10 export like terms to same side of the equation
3x - 2x = 10 + 30
x = 40
to find the angles replace x with the value found for each.