Answer: [tex]\bold{12\sqrt2}[/tex]
Step-by-step explanation:
A 45-45-90 triangle has corresponding sides of: a - a - a√2
Since the side that corresponds to the 90° angle = a√2, then
[tex]a\sqrt2=24\\\\a=\dfrac{24}{\sqrt2}\\\\\\.\ =\dfrac{24}{\sqrt2}\bigg(\dfrac{\sqrt2}{\sqrt2}\bigg)\\\\\\,\ =\dfrac{24\sqrt2}{2}\\\\\\.\ =\boxed{12\sqrt2}[/tex]
12 square root of 2 will be the answer
wich is the answer of 7+5×6
Answer:
37
Step-by-step explanation:
Using order of operations, multiplication is done before addition.
given
7 + 5 × 6 ← perform multiplication
= 7 + 30 ← do the addition
= 37
Use PEMDAS
PEMDAS stands for: Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction.
So.. in 7+5x6, you first multiply (Tip: If you don't see parenthesis or exponents, jump to multiplication) 5 and 6. (30) NOw, you add 5x6 (30) with 7 (=37)
Erin goes to a stamp fair once a month to buy new stamps for her collection. The equation y = 115 + 10x represents the number of stamps in Erin's collection when she has been to the stamp fair x number of times. How many stamps are in her collection after 7 trips to the fair?
Answer:
Step-by-step explanation:
115+10x = y
After 7 trips to the fair, Erin has 185 stamps in her collection according to to the equation y = 115 + 10x.
To find out how many stamps Erin has after 7 trips to to the fair, we can use the given equation:
[tex]\[ y = 115 + 10x \][/tex]
where:
- [tex]\( y \)[/tex] represents the number of stamps in Erin's collection.
- [tex]\( x \)[/tex] represents the number of times Erin has been to to the stamp fair.
Substituting [tex]\( x = 7 \)[/tex] into the equation, we get:
[tex]\[ y = 115 + 10(7) \][/tex]
[tex]\[ y = 115 + 70 \][/tex]
[tex]\[ y = 185 \][/tex]
So, after 7 trips to the fair, Erin has [tex]\( 185 \)[/tex] stamps in her collection.
Find the equation of the line below.
The equation of the line below : y= -6x.
Plz help! Giving away more points than usual!!! Thxs :) (btw the rate of change isn't 8 nor 29, I tried them both like 500 times)
Answer:
rate change: -8
Equation: y = 232 -8x
After 5 hours: 192
Step-by-step explanation:
8 are destroyed every hour, so there are 8 less every hour, so the rate of change is -8
It starts with 232 and loses 8 per hour, so the formula is
y = 232 - 8x
After 5 hours:
y = 232 - 8(5)
y = 232 - 40
y = 192
Answer:
Step-by-step explanation:
The rate of change in this case is -8, since the amount is decreasing.
The equation is:
y=232-8x.
After 5 hours, he will have 192 rews.
A right triangle ABC with height AB labeled 3 units and base BC labeled 5 units is shown. The area of the triangle above will equal one half of a rectangle that is 5 units long and units wide.
Answer:
Step-by-step explanation:
Answer:
w=3
Step-by-step explanation:
The area of the triangle is given by
A = 1/2 bh
the base is 5 and the height is 3
A = 1/2 (3) * 5 = 15/2 units ^2
The area of a rectangle is
A = l*w
A = 5w
The area of the triangle = 1/2 the area of the rectangle
15/2 = 1/2 *5w
15/2 = 5/2 w
Multiply each side by 2/5 to isolate w
2/5 * 15/2 = 2/5 *5/2 w
3 =w
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Final answer:
The area of the triangle is 7.5 units and the width of the rectangle is 3 units.
Explanation:
The area of a triangle can be calculated using the formula A = (base * height) / 2. In this case, the base of the triangle is given as 5 units and the height is given as 3 units.
So, the area of the triangle is A = (5 * 3) / 2 = 15 / 2 = 7.5 units.
The area of the rectangle is given as 5 units long and units wide. Since the area of the triangle is equal to half of the area of the rectangle, we can set up the equation 7.5 = (5 * width) / 2 and solve for the width.
By multiplying both sides of the equation by 2 and then dividing by 5, we get width = (7.5 * 2) / 5 = 15 / 5 = 3 units. Therefore, the width of the rectangle is 3 units.
explain the difference between an equation, like x=5, and an inequality, like x_> 5.
For x = 5, the only solution to the inequality or equation is 5. while for the inequality x ≥ 5, this has several values or solutions.
Inequality expressionGiven the following inequality expression
The inequality x = 5 is different from x ≥ 5 in that;
For x = 5, the only solution to the inequality or equation is 5. It shows only one solution
For the inequality x ≥ 5, this has several values or solutions. It consists of all the values of x that are greater than5.
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David invested $220 in a savings account that offers a 3% return on the investment. The value of
____ years David's investment will be at least $400 after a period of years.
Hint: Use the formula A = P(1 + r)t, where A is the amount after t years, P is the amount invested, r is the rate of interest, and t is the time period. Use a calculator to compute the answer, and round it off to the nearest year.
Answer:
20 years
Step-by-step explanation:
Using the formula; A = P(1 + r)^t
We can plug in the known to find t
400 = 220(1.03)^t
then solve for t;
1.818 = 1.03^t
Introducing In
In 1.818 = t × In (1.03)
t = 20.225
t = 20 years to the nearest year
Answer:
20 years
Step-by-step explanation:
Plato
if g(x)=4x^2-16 were shifted 7 units to the right and 3 down, what would the new equation be?
ANSWER
[tex]f(x) = 4 {(x - 7)}^{2} - 19[/tex]
EXPLANATION
The given equation is
[tex]g(x) = 4 {x}^{2} - 16[/tex]
If the equation is shifted 7 units to the right and 3 units down, then the new equation becomes.
[tex]f(x) = g(x - 7) - 3[/tex]
This implies that,
[tex]f(x) = 4 {(x - 7)}^{2} - 16 - 3[/tex]
The required equation is
[tex]f(x) = 4 {(x - 7)}^{2} - 19[/tex]
Which equation can be used to find what percent 14 is of 125?
A..
125 = 14p
b.
14 = 125p
c.
14p = 125p
d.
125(14) = p
Answer:
B. 14 = 125p
Step-by-step explanation:
The correct equation to find what percent 14 is of 125 is 14 = 125p. This equation is solved by dividing both sides by 125. The solution, 0.112 or 11.2%, shows that 14 is 11.2% of 125.
Explanation:The subject of the question is Mathematics. The question is, 'Which equation can be used to find what percent 14 is of 125?' The correct equation to solve this is: 14 = 125p. The reason for that is because the problem is asking what percent (represented by p) 14 is of 125. So, you want to solve for p. To do so, you would divide both sides of the equation by 125. This would give you p = 0.112, or 11.2%. This means that 14 is 11.2% of 125.
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please help NOW!!!! 20 Points!
how is this number expressed in decimal notation? 2 x 10-5
1.5 × 10 to the 1 st power
Answer:
0.00002
2*10^-5 = 2*00001 = 0.00002
Suden wants to know the theoretical and experimental probability of rolling a number smaller than a 3 on a 6-sided number cube numbered 1 to 6. He rolls the number cube 8 times and records the results in this table.
4 2 5 3
5 6 1 4
Drag and drop the answers in the boxes to correctly complete the sentences comparing theoretical probability and experimental probability.
Actually happened
we expect to happen
1/3
1/4
1/6
The theoretical probability of rolling a number smaller than a 3 is _______because this is what_______ . The experimental probability of rolling a number smaller than a 3 is ______ because this is what_______ .
Answer:
The theoretical probability of rolling a number smaller than a 3 is __1/3_____because this is what__we expect to happen____ . The experimental probability of rolling a number smaller than a 3 is __1/4____ because this is what___actually happened____
Step-by-step explanation:
The experimental probability is
P (<3) = ( getting a one or 2)/ number of times that he rolled
He rolled a one or a two 2 times of the 8 times rolled
= 2/8 = 1/4
Theoretical probability is what we expect happen
P (<3) = (getting a one or two) / 6
= 2/6 = 1/3
The theoretical probability of rolling a number smaller than a 3 is __1/3_____because this is what__we expect to happen____ . The experimental probability of rolling a number smaller than a 3 is __1/4____ because this is what___actually happened____
which pair of expressions is equivalent to each other?
Answer:
C
Step-by-step explanation:
4^5 expanded is 4 * 4 * 4 * 4* 4
A school has an art club, a drama club, and a cooking club. The ratio of the number of students in these clubs is given.
Art club to drama club: 7 to 13
Cooking club to art club: 5 to 14
There are 130 students in the drama club. No students are in more than one club.
How many students are in the cooking club?
Answer:
25 students in the cooking club
Step-by-step explanation:
Let
x-----> the number of students in art club
y-----> the number of students in drama club
z-----> the number of students in cooking club
step 1
Substitute the value of y in equation A and solve for x
step 2
substitute the value of x in equation B and solve for z
solve this problems like how you solve the other ones
Answer:
59 feet cubed
Step-by-step explanation:
1 x 5 x 7 = 35ft^3
3 x 4 x 2 = 24ft^3
add them together and end up with 59ft^3
is 2.799 greater than 2.79 ?
A pack of cinnamon-scented pencils sells for $4.00. What is the sales tax rate if the total cost of the pencils is $4.20?
Answer: The sales tax rate is 5%.
Step-by-step explanation: In order to calculate the sales tax rate you need to divide the amount of sales tax by the amount of the purchase. In this case you divide .20 by $4.00. .2 / 4 = .05 = 5% sales tax rate
The sales tax rate for a pack of cinnamon-scented pencils that sells for $4.00 and totals $4.20 is 5%.
To calculate the sales tax rate for a pack of cinnamon-scented pencils that sells for $4.00 and has a total cost of $4.20 including tax, you first need to find the amount of sales tax paid. The sales tax paid is the difference between the total cost and the sale price, which is
$4.20 - $4.00 = $0.20.
Next, you convert the sales tax amount to the sales tax rate by dividing the tax amount by the original price and then multiplying by 100 to get a percentage. Therefore, the sales tax rate is
($0.20 / $4.00) x 100, which equals 5%. The packed pencils had a 5% sales tax added to the original price.
So I am doing this school assignment and it's due tomorrow.... PLEASE HELP MEEEE
Answer:
im pretty sure its the second one to the right
Answer:
|7| + |-2| | +|5| + |-8|=
Step-by-step explanation:
We want to find the total number of spaces traveled, it doesn't matter whether they are forward or backward.
We moved 7 spaces right then 2 spaces left then 5 spaces right then 8 spaces left. The total spaces are just the number of spaces, not whether they were left or right so we take the absolute value
|7| + |-2| +|5| + |-8|=
Which expression is equal to 3x?
x + 3
x + x + x
x + x2
2x + 1
Answer:
The answer is x + x + x.
Step-by-step explanation:
Tripling something means 3 of that thing. 3 + 3 + 3, which is also 3x.
I hope this helped!
Have a wonderful Wednesday!
~Lola
The expression which is equal to 3x is x+x+x. Therefore, option B is the correct answer.
We need to check which expression from the options is equal to 3x.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
From option B,
In the expression x+x+x, all three terms are same(like terms), by adding them we get
x+x+x=3x
The expression which is equal to 3x is x+x+x. Therefore, option B is the correct answer.
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I WILL AWARD BRAINLIEST!! PLEASE HELP!!
The number a is smaller than the number B by 1/5 of b . By what part of a is b bigger than a?
Answer:
Bigger by ¼ of a.
Step-by-step explanation:
Let b be represented by all five slices of the pie, and a by the four yellow slices.
Then a is ⅘ of the pie and it is ⅕ smaller than b.
Now, let's turn the argument around.
The four yellow slices represent a, and all 5 slices represent b.
b is greater than a by one slice compared to four.
In mathematical terms, b is bigger by ¼ of a.
At Costco, a flat-screen television with a regular price of $1,790 was reduced by $395. Assuming 800 customers purchased the television, what were the total sales to Costco?
A. $1,116,000 B. $1,160 C. $1,161,000 D. $116,000
first you would do
[tex]1790 - 395[/tex]
next you would do
[tex]x \times 800[/tex]
which would then give you answer choice a
Length of a rectangle is 5 cm longer than the width. Four squares are constructed outside the rectangle such that each of the squares share one side with the rectangle. The total area of the constructed figure is 120 cm2. What is the perimeter of the rectangle?
Answer:
The perimeter of rectangle is [tex]18\ cm[/tex]
Step-by-step explanation:
Let
x-----> the length of the rectangle
y----> the width of the rectangle
we know that
[tex]x=y+5[/tex] ----> equation A
[tex]120=xy+2x^{2}+2y^{2}[/tex] ---> equation B (area of the constructed figure)
substitute the equation A in equation B
[tex]120=(y+5)y+2(y+5)^{2}+2y^{2}\\ 120=(y+5)y+2(y+5)^{2}+2y^{2}\\ 120=y^{2}+5y+2(y^{2}+10y+25)+2y^{2}\\ 120=y^{2}+5y+2y^{2}+20y+50+2y^{2}\\120=5y^{2}+25y+50\\5y^{2}+25y-70=0[/tex]
using a graphing calculator -----> solve the quadratic equation
The solution is
[tex]y=2\ cm[/tex]
Find the value of x
[tex]x=y+5 ----> x=2+5=7\ cm[/tex]
Find the perimeter of rectangle
[tex]P=2(x+y)=2(7+2)=18\ cm[/tex]
Answer:
Perimeter of rectangle = 38 cm
Step-by-step explanation:
It is given that, Length of a rectangle is 5 cm longer than the width.
Let 'x' be the width then length = x + 5
Area of of rectangle = x(x + 5)
One side of square = ( x+ 5)/4
Area of all squares = [(x +5)/4]² * 4 = (x + 5)²/4
To find the value of x
Total area = 120 cm²
Area of of rectangle + Area of all squares = 120
x(x + 5) + (x + 5)²/4 = 120
x² + 5x + (x² + 10x + 25)/4 = 120
4x² + 20x + x² + 10x + 25 = 120 * 4
x² + 6x + 5 = 24 * 4
x² + 6x - 96 =0
x = 7
To find the perimeter of rectangle
width = x = 7
Length = x + 5 = 7 + 5 = 12
Perimeter = 2(length + width) = 2(7 + 12) = 38 cm
help plz plz plz i need help, not good at math
♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫
➷The answer is: the corresponding angles are both the same.
Explanation: The angles B and F are the same. The same goes for A and E, D and H, and C and G. So the conclusion is that the corresponding angles have both the same measure, or are both congruent.
✽
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
DOGE
Which statement is true about the distribution?
Answer:
The answer is C
Step-by-step explanation:
Answer:The answer is actually A
Step-by-step explanation:
A tetrahedron is a triangular pyramid whose four faces are identical equilateral triangles. The total lateral surface area is 93 square centimeters. Find the surface area of the tetrahedron. Answer quick plz!!
Answer:
SA = 124 cm²
Step-by-step explanation:
The lateral surface area is the area of all sides besides that base, so 93 cm² is the sum of 3 sides of the tetrahedron.
93/3 = 31 cm² per side, there are 4 sides, so 31(4) = 123 cm² is the total surface area
The surface area of the tetrahedron is 124 square centimeters.
Let's denote the surface area of one equilateral triangle as A The total surface area of the tetrahedron, which includes all four faces, is then 4A.
Given that the lateral surface area (which is three faces) is 93 square centimeters, we can write:
3A = 93
To find the area of one face (A), we divide both sides by 3:
[tex]\[ A = \frac{93}{3} = 31 \][/tex]
Now, to find the total surface area of the tetrahedron, we multiply the area of one face by 4:
[tex]\[ \text{Total Surface Area} = 4A = 4 \times 31 = 124 \][/tex]
Therefore, the surface area of the tetrahedron is 124 square centimeters.
Which is an example of an operation
What is the solution to the equation 1 over 24 multiplied by x is equal to 1 over 6?
x = 144
x = 30
x = 18
x = 4
x=4
Multiply the reciprocal of 1/24, which is 24, on both sides. You will result in getting x=24/6, or 4
x=4
Answer:
x=4
Step-by-step explanation:
24 divided by 6 = 4
or 6 x 4 = 24
If 12 pens cost 3.48 how much do 20 cost
Step-by-step explanation:
12/3.48= cost of 1 book
cost of 20 books = 12/3.48×20 =68.95
To find the cost of 20 pens when 12 pens cost $3.48, divide $3.48 by 12 to get the cost per pen and then multiply by 20. The cost for 20 pens would be $5.80.
To calculate the cost of 20 pens when 12 pens cost $3.48, first, we need to find the cost of one pen. We do this by dividing the total cost of 12 pens by the number of pens:
$3.48 / 12 pens = $0.29 per pen.
Now that we know the cost of one pen, we can calculate the cost of 20 pens by multiplying the cost per pen by 20:
$0.29 / pen x 20 pens = $5.80.
So, 20 pens would cost $5.80.
Please find area of the triangle
Answer:
20 sq m
Step-by-step explanation:
Write the linear equation in slope-intercept form?
[tex]\bf (\stackrel{x_1}{-5}~,~\stackrel{y_1}{-11})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{1}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{1-(-11)}{-2-(-5)}\implies \cfrac{1+11}{-2+5}\implies \cfrac{12}{3}\implies 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-11)=4[x-(-5)]\implies y+11=4(x+5) \\\\\\ y+11=4x+20\implies y=4x+9[/tex]
on which number line are negative 3 and it's opposite shown flvs flex
Answer:
the first one
Step-by-step explanation: