Answer:48 16 = ?
27 9 = 9
60 20 - 10
Step-by-step explanation:
18. A glasscutter needs to cut rectangular pieces of
glass to make an aquarium. How can he make sure
that the glass pieces he is going to cut are
rectangular in shape? Justify your reasoning
For the cut glass pieces to be rectangular in shape, the glass cutter should ensure:
All four interior angles = 90° each.Opposite sides are parallel and equal to each other.Diagonals should be of the same length and should bisect each other.Properties of a RectangleAll four angles of a rectangle are 90° each.There are two pairs of parallel sides that are equal in length.The diagonals bisect each other and are of equal length.
Thus, to ensure the cut glass pieces are rectangular in shape, he should ensure the following:
Make the four interior angles 90° each.The opposite sides should be parallel and equal to each other.The diagonals should be of the same length and should bisect each other.Learn more about properties of rectangle on:
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A manager at a restaurant can buy hamburger buns in
packages of 8 and hamburger patties in packages of 6.
Suppose that the manager cannot buy part of a package.
What is the least number of packages of each product
he can buy to have an equal number of hamburger patties
and buns?
PLEASE INCLUDE MULTIPLES OF 8 AND 6 ALL THE WAY UNTIL YOU GET A NUMBER THAT IS THE SAME ON BOTH
Answer: 24
Step-by-step explanation
8-8-16-24-32-40
6-6-12-18-24-30-36
how do you write this expression in word form?
Answer:
d-7 divided by 2 or over 2
A newborn child receives a $6000 gift toward a college education from her grandparents. How much will the $6000 be worth in 18 years if it is invested at 7.6% compounded quarterly?
Answer:
333.333333333
Step-by-step explanation:
you have to divide
help now plsssssssssssssssssssssssss
cheater bro wyd ur doing a diagnostic try ur best lol
solve this: 23.769km-----?-----m
1 km = 1000 m, so:
23,769 km = 23,769 · 1000 m = 23 769 m
Answer:
23769m
Step-by-step explanation:
Basicly, 3.769x 1000= 23769m
Please mark brainliest
Write the equation for the following sequence: 18, 15, 12,… Write the equation in terms of n (do not use Sn).
Answer:
18-3(n-1)
Step-by-step explanation:
Express (8 - 3sqrt(2))/(4 + 3sqrt(2)) in the form of a + b * sqrt(2) where a and b are integers.
Answer: [tex]\boldsymbol{-25+18\sqrt{2}}[/tex]
The expression is in the form [tex]a+b\sqrt{2}[/tex] where a = -25 and b = 18
==========================================================
Work Shown:
Let [tex]x = 3\sqrt{2}[/tex] and then square both sides
[tex]x = 3\sqrt{2}\\\\x^2 = \left(3\sqrt{2}\right)^2\\\\x^2 = \left(3\right)^2*\left(\sqrt{2}\right)^2\\\\x^2 = 9*2\\\\x^2 = 18\\\\[/tex]
We'll use both x and x^2 later on.
---------------------
The denominator is in the form 4+x. We'll multiply top and bottom by 4-x to then use the difference of squares rule. This will allow us to eliminate the square root in the denominator.
[tex]\frac{8-3\sqrt{2}}{4+3\sqrt{2}}\\\\\frac{8-x}{4+x}\\\\\frac{(8-x)(4-x)}{(4+x)(4-x)}\\\\\frac{32-8x-4x+x^2}{16-x^2} \ \text{ difference of squares rule}\\\\\frac{32-12x+x^2}{16-x^2}\\\\[/tex]
[tex]\frac{32-12*3\sqrt{2}+18}{16-18} \ \text{ plug in } x = 3\sqrt{2} \text{ and } x^2 = 18\\\\\frac{50-36\sqrt{2}}{-2}\\\\\frac{-2(-25+18\sqrt{2})}{-2}\\\\\boldsymbol{-25+18\sqrt{2}}[/tex]
Therefore,
[tex]\frac{8-3\sqrt{2}}{4+3\sqrt{2}}=\boldsymbol{-25+18\sqrt{2}}[/tex]
-------------------------------------
Checking the answer:
Use a calculator to find that,
[tex]\frac{8-3\sqrt{2}}{4+3\sqrt{2}} \approx 0.45584412271571 \\\\-25+18\sqrt{2} \approx 0.45584412271571[/tex]
We get the same decimal approximation, which helps confirm the correct answer.
Or you could use the idea that if M = N, then M-N = 0 to subtract the original expression M and the final result N. You should get 0 or very close to it.
SOMEBODY HELP ME NO LINKS PLEASE
Use rigid motions to explain whether the triangles in the figure are congruent. Be sure to describe specific rigid motions in your explanation . ( Will Mark Brainliest if answered correctly).
Step-by-step explanation:
I don't really know what demonstrating with rigid motion means, never heard that before. But a method for demonstrating it could be drawing circumferences of radius:
1) R1 = d(O,S)
2) R2 = d(O,J)
3) R3 = d(O,M)
With O being the origin of the reference system.
*Note: d(A,B) means distance between point A and point B
After you've done that you can show that the points S and P are on the same circumference, J and W are on the same circumference (different from the one of S and P), M and D are on the same circumference.
After you've done that you calculate the angle between the points on the same circumference and demonstrating that they are all the same.
Answer:
Step-by-step explanation:
Congruent
Shift right 1 unit and up 5 units
Rotate 90 degrees clockwise about (-1, 2)
Or
just rotate 90 degrees clockwise about (1, -1)
If you connect the points where Muntinlupa City and Teresa, Rizal are located, what is the slope of the line formed from the two given places?
Using it's formula, it is found that the slope of the line formed from the two given places is of [tex]\mathbf{\frac{6}{7}}[/tex]
Given two points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex], the slope is given by change in y divided by change in x, that is:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
In this problem:
Muntinlupa is at (-1,-4);Teresa, Rizal is at (6,2).Hence, applying the formula for the slope, considering [tex](x_1, y_1) = (-1, -4)[/tex] and [tex](x_2,y_2) = (6,2)[/tex]:
[tex]m = \frac{2 - (-4)}{6 - (-1)} = \frac{6}{7}[/tex]
The slope is of [tex]\mathbf{\frac{6}{7}}[/tex]
A similar problem is given at https://brainly.com/question/5427529
If line segment AB represents 25%, what is the length of a line segment that is 100%?
Can someone help me? Will make brainiest :)
Answer:
D
Step-by-step explanation:
BH is perpendicular to AC since an orthocenter is a point at which the three altitudes of a triangle intersect. The altitude of a triangle is that line that passes through its vertex and is perpendicular to the opposite side. Since you know that BH is an altitude due to Point H being an orthocenter, you know that BH is perpedendicular to AC.
point w is graphed at (n,1)
Answer:
find the vertical asymptote of the graph of f(×) = (×+3) +2.
To get to the next term in this sequence, multiply the last term by 2.5. What is the value of the next term?
1, 2.5, 6.25, 15.625, ...
HELP ASAP WILL GIVE BRAINLIEST
Answer:
39.0625
Step-by-step explanation:
15.625 times 2.5= 39.0625
You're just multiplying each value by 2.5
1 times 2.5= 2.5
2.5 times 2.5= 6.25
6.25 times 2.5= 15.625
and then 15.625 times 2.5= 39.0625
2-6² +4 2
please help it's review for my finals
Answer: I don’t know :(
Step-by-step explanation:
Answer:
8
Have an amazing day!
find the value of x {0<x<(π/2)} satisfying (cos x / cosec x + 1) + (cos x / cosec x-1) = 2
In attachment I have answered this problem.
The value of x {0 < x < (π/2)} satisfying (cos x / cosec x + 1) + (cos x / cosec x-1) = 2 is x = π/4.
Since cos x /(cosec x + 1) + cos x /(cosec x - 1) = 2
Taking the L.C.M (cosecx + 1)(cosecx - 1), we have
[cosx(cosecx - 1) + cosx(cosecx + 1)]/(cosecx + 1)(cosecx - 1) = 2
[cosxcosecx - cosx + cosxcosecx + cosx]/(cosec²x - 1²) = 2
[cosx/sinx - cosx + cosx/sinx + cosx]/(cosec²x - 1²) = 2
[cotx - cosx + cotx + cosx]/(cosec²x - 1) = 2
collecting like terms, we have
[cotx + cotx + cosx - cosx ]/(cosec²x - 1) = 2
[2cotx + 0]/(cosec²x - 1) = 2
2cotx/(cosec²x - 1) = 2
cotx/(cosec²x - 1) = 1
Since cot²x + 1 = cosec²x ⇒ cot²x = cosec²x - 1
So, cotx/(cosec²x - 1) = 1
cotx/cot²x = 1
1/cotx = 1
tanx = 1
Taking inverse tan of both sides, we have
x = tan⁻¹(1)
x = 45°
x = 45 × π/180
x = π/4
So, the value of x {0 < x < (π/2)} satisfying (cos x / cosec x + 1) + (cos x / cosec x-1) = 2 is x = π/4.
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4. Out of the 75 people who baked
Christmas cookies, forty six percent
burned the cookies. How many people
burned their cookies?
Answer:
34.5 people
Step-by-step explanation:
What kind of taxes are likely to pay for universities and police?
а
local taxes
b. state taxes
C federal taxes
d income taxes
Answer: I'd say the best answer is b.
Step-by-step explanation:
Jimmy has 26,387
dollars for every of toys
he sells. how much
money will he make
for 10 toys?
Answer:
263,870
Step-by-step explanation:
Answer:
263,870
Step-by-step explanation:
You have 26,387 then you will multiply it by 10 and you'll get 263,870
solve using system of equations by using elimination method for -5x+4y=2 ; 9x-4y=6
Answer:
y = 3
x = 2
Step-by-step explanation:
-5x + 4y = 2
9x - 4y = 6
Sum both eq.
-5x + 9x = 4x
+4y - 4y = 0
2 + 6 = 8
then:
4x + 0 = 8
4x = 8
x = 8/4
x = 2
from the first eq.
-5x + 4y = 2
-5*2 + 4y = 2
-10 + 4y = 2
4y = 2 + 10
4y = 12
y = 12/4
y = 3
Check:
from the second eq.
9x - 4y = 6
9*2 - 4*3 = 6
18 - 12 = 6
expand the following 8(x-3)
Answer:
8x-24
Step-by-step explanation:
First you do:
8×x which is 8x
Then you do:
8×-3 which is -24
Then you put it into 1 expression:
8x-24
Answer:
8−24
Thank You!
B. Analyze the problem below and answer the questions that follow. a monthly salary of Php 18.500 Complete the table below which shows the deductions on Bianca has her payslip Name Bianca Ramos Assistant For the month of September 2020 Basic Salary 18,500 00 Position Financial Allowances Total Earnings 18.500 00 DEDUCTIONS Description SOCIAL SECURITY SYSTEM MEDICARE (PHILHEALTH) PAGIBIG (FUND) BIR (WITHHOLDING TAX) Amount of Deduction (11) (12) (13) (14). Total Deductions (15) NET PAY (16)
The completed table showing Bianca Ramos's tax deduction and NET PAY
is presented as follows;
SOCIAL SECURITY SYSTEM = Php 1,147
MEDICARE (PHILHEALTH) = Php 268.25
PAGIBIG (FUND) = Php 370
BIR (WITHHOLDING TAX) = Php 5,509.19
Total deductions = Php 7,294.44
NET PAY = Php 11,205.56
Reasons:
Based on online search, the tax rate for the items on the table are as follows;
SOCIAL SECURITY SYSTEM = 6.20% of earnings
MEDICARE (PHILHEALTH) = 1.45% of earnings
PAGIBID (FUND) = 2% of salary
BIR (WITHOLDING TAX) = P1,342.47 + 32% over P5,479
Bianca Ramos's basic salary = 18,500.00
Which gives the deduction amount as follows;
SOCIAL SECURITY SYSTEM = 0.062 × 18,500.00 = 1,147
MEDICARE (PHILHEALTH) = 0.0145 × 18,500.00 = 268.25
PAGIBIG (FUND) = 0.02 × 18,500.00 = 370
BIR (WITHHOLDING TAX) = 1,342.47 + 0.32×(18,500 - 5,479) = 5,509.19
Total deductions = 1,147 + 268.25 + 370 + 5,509.19 = 7,294.44
NET PAY = 18,500 - 7,294.44 = 11,205.56
Her net pay = Php 11,205.56
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Rewrite this equation in Slope-intercept form
(PLEASE SHOW ALL WORK)
Need a little help on this
Answer:
Step-by-step explanation:
This is an isosceles triangle. You can tell because 2 of the sides are equal and the third is not equal to either of the other two.
x + x + 56 = 180 Combine the left
2x + 56 = 180 Subtract 56 from both sides.
2x = 180 - 56
2x = 124 Divide by 2
x = 124/2
x = 62
what decimal represents the fraction 1/4
Answer:
0.25
Step-by-step explanation:
1/4 is equal to 1.00 split into 4 equal parts. 0.25*4 = 1.00 , meaning that each 1/4 is equal to 0.25
Answer:
0.25.
Step-by-step explanation:
We divide 1 by 4:
4) 1. 00
0.25
A rectangle has a perimeter of 270cm and its length is 2½cm times its width find its width
Answer:
Step-by-step explanation:
If you mean length is 2½ times its width not "2½cm times its width"
2(L + W) = 270
2(2.5W + W) = 270
2(3.5W) = 270
7W = 270
W = 38.5714285714...
W ≈ 38.57 cm
Answer:
Width = 38. 57 cm
Step-by-step explanation:
The perimeter of a Rectangle = 270 cm
Now,
Let's take x to be the width.
Length = 2½ = 5x/2
According to the formula,
The perimeter of a rectangle = 2 ( l + w )
270 = 2 ( 5x/2 + x )
270 = 5x + 2x
270 = 7x
x = 270/7
x = 38. 57 cm.
• The width of a rectangle is 38.57 cm
A recent survey concluded that 3/4 of the teachers in a certain school district had at least 10 years of teaching experience. If there are 152 teachers in the district, approximately how many have at least 10 years of teaching experience?
Answer: 114
Step-by-step explanation:
3/4 * 152 = 3*38 =114
6. If the net investment function is given by
I(t) = 100e0.11
calculate
(a) the capital formation from the end of the second year to the end of the fifth year
(b) the number of years required before the capital stock exceeds $100 000.
The capital formation of the investment function over a given period is the
accumulated capital for the period.
(a) The capital formation from the end of the second year to the end of the fifth year is approximately 298.87.(b) The number of years before the capital stock exceeds $100,000 is approximately 46.15 years.Reasons:
(a) The given investment function is presented as follows;
[tex]I(t) = 100 \cdot e^{0.1 \cdot t}[/tex]
(a) The capital formation is given as follows;
[tex]\displaystyle Capital = \int\limits {100 \cdot e^{0.1 \cdot t}} \, dt =1000 \cdot e^{0.1 \cdot t}} + C[/tex]
From the end of the second year to the end of the fifth year, we have;
The end of the second year can be taken as the beginning of the third year.
Therefore, for the three years; Year 3, year 4, and year 5, we have;
[tex]\displaystyle Capital = \int\limits^5_3 {100 \cdot e^{0.1 \cdot t}} \, dt \approx 298.87[/tex]
The capital formation from the end of the second year to the end of the fifth year, C ≈ 298.87
(b) When the capital stock exceeds $100,000, we have;
[tex]\displaystyle \mathbf{\left[1000 \cdot e^{0.1 \cdot t}} + C \right]^t_0} = 100,000[/tex]
Which gives;
[tex]\displaystyle 1000 \cdot e^{0.1 \cdot t}} - 1000 = 100,000[/tex]
[tex]\displaystyle \mathbf{1000 \cdot e^{0.1 \cdot t}}} = 100,000 + 1000 = 101,000[/tex]
[tex]\displaystyle e^{0.1 \cdot t}} = 101[/tex]
[tex]\displaystyle t = \frac{ln(101)}{0.1} \approx 46.15[/tex]
The number of years before the capital stock exceeds $100,000 ≈ 46.15 years.
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A movie theater is splitting
cups 30 of popcorn into 18
bags. How much popcorn
will each bag holde
Answer:
30/18=1 2/3 cups of popcorn in each bag
Hope This Helps!!!