1) The figure at the top is a parallelogram; the area is A = bh; where b is the base and h is the height; use properties of special right triangles to find h, and the area of the parallelogram
a) Read the problem once and state what is the problem about?
Answer:
[tex]10 \sqrt{3} {cm}^{2} [/tex]
Step-by-step explanation:
The area of a parallelogram is A=bh.
From the diagram, the base is b=5m
We now use the properties of 30°-60°-90° right angle to find h.
The sides of this triangle is given by x,½x,½x√3
Where x is 4
Therefore we have 4,2, 2√3
So we have h=2√3m
The area now is
[tex]A = 5 \times 2 \sqrt{3} = 10 \sqrt{3} {cm}^{2} [/tex]
a)The problem is about finding area of a plane figure
0.63 ÷ 1.638 what is ir
Answer:
[tex]0.3846154[/tex]
Step-by-step explanation:
We want to perform the following division:
0.63 ÷ 1.638
Let us convert everything to fraction to get:
[tex]\frac{63}{100}\div \frac{1638}{1000}[/tex]
We multiply by the reciprocal of the second fraction to get:
[tex]\frac{63}{100}\times \frac{1000}{1638}[/tex]
[tex]=\frac{63}{1638}*10[/tex]
[tex]=0.03846154*10=0.3846154[/tex]
Final answer:
To find the result of 0.63 divided by 1.638, you multiply both numbers by 1000 to remove the decimals and then divide, resulting in approximately 0.384612.
Explanation:
The question asks for the result of dividing 0.63 by 1.638. To solve this problem, you perform division as you would with any two numbers. The steps are as follows:
Set up the division problem: 0.63 ÷ 1.638.
To make the division simpler, you can multiply both the divisor (1.638) and the dividend (0.63) by powers of 10 to remove the decimals. In this case, multiply both by 1000 to get 630 ÷ 1638.
Perform the division: 630 divided by 1638 equals approximately 0.384612.
Thus, 0.63 ÷ 1.638 is approximately 0.384612.
a and b questions answers
Answer:
1.a. it takes him 0.5 seconds to reach his max height.
.b. The highest point that he reached is 484 feet.
-16×(0,5)^2+16×(0,5)+480=484
Jacqueline wants to make as many identical bouquets as possible using all flowers she has. What is the biggest number of such bouquets can be made out of 42 carnations, 36 tulips and 54 daffodils?
Answer:
6
Step-by-step explanation:
This is a disguised GCF problem. If Jacqueline wants to use all the flowers she has, she must find the greatest common factor of the their numbers.
1. Determine the prime factors of each number and mark those that are common
The prime factors of 42 are 2 × 3 × 7 = 42
The prime factors of 36 are 2 × 2 × 3 × 3 × 3 = 36
The prime factors of 54 are 2 × 3 × 3 × 3 = 54
2. Multiply the common factors
The common prime factors of 42, 36. and 54 are 2 and 3.
The greatest common factor is 2 × 3 = 6.
Jacqueline can make six bouquets, and each will contain seven tulips, six carnations, and nine daffodils.
Answer: The answer is 6
Step-by-step explanation:
celine mixes raisins and peanuts to make a snack. she uses 0.75 cup raisins for every 0.5 cup peanuts. write a proportion and use it to find the number of cups of raisins she uses if she uses 4.25 cups of peanuts
Answer:
6.375 cups of raisins
Step-by-step explanation:
The ratio of raisins to peanuts is 3:2. This is because 0.5 divided by 2 and then multiplied by 3 is equal to 0.75.
So to find the number of raisins we need to divide the number of peanuts by 2 and then multiply it by 3:
(4.25 ÷ 2) × 3 = 6.375
Answer:
Step-by-step explanation: they both equal 2x + 4
2x + 4=2(x + 4)
2x + 4= (2 X x) + (2 X 4)
2x + 4= 2x + 4
The diameter of a circle is 40 m. Find the aread of the circle in terms of π
Answer:
40π
Step-by-step explanation:
Circumference Formula: C = 2πr
Step 1: Divide diameter by 2 to get the radius
40 / 2 = 20 m -> Radius
Step 2: Plug into the Circumference Formula
C = 2π(20)
C = 40π
Answer: 40π
Answer:
Step-by-step explanation:
The radius of the circle is d/2
The Area of the circle is pi*r^2
The Area of the circle is pi * (d/2)^2
The Area of the circle is A = pi * (40/2)^2
The Area of the circle is A = 400 * pi
How many yard will the snail have moved in half an hour
Answer:25yards
Step-by-step explanation:
Answer:
2.075
Step-by-step explanation:
ok so if a nail can only go 0.025 it 1 day is 200m cut into 24 if 8.3 cut in half gives u the answer
Is 2(3a-2)+4a equivalent to 10a-2
After simplifying the expression 2(3a-2)+4a, we get 10a-4, which is not equivalent to 10a-2 due to a difference of 2.
Explanation:To determine if the expression 2(3a-2)+4a is equivalent to 10a-2, we must simplify the former expression.
First, distribute the 2 into the parenthesis: 2 × 3a is 6a, and 2 × -2 is -4. So we get 6a - 4.
Next, we add the 4a that is outside the parenthesis to the 6a we got after distribution: 6a + 4a equals 10a.
Now we have 10a - 4. This is close to 10a-2 but there is a difference of 2. Therefore, the two expressions are not equivalent.
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The Murphy family is on a road trip. On the first day, they traveled 30% of their total distance. On the second day, they traveled another 1/4 of the total distance. What fraction of the total distance do they have left after the second day? What percent? ANSWER ASAP!
Answer:
[tex] \frac{11}{20} [/tex]
On the first day, they traveled 30 percents of the total distance. On the second day they traveled one fourth of the total distance. One fourth converted into percentage is 25 percent. Then you add 30 plus 25 because that is the to a
total distance that Murphy's family traveled for 2 days. It will be 55 percents, and you convert 55 percents into fraction will be 55/100, and you simplify it, will be 11/20.
identify this coefficient 8x
Answer:
8
Step-by-step explanation:
The term 8x is a product (as is any term). It is the product of a constant coefficient (8) and a variable (x). The "coefficient" is the multiplier of the variable of interest, so is 8 in this term.
_____
The word "coefficient" is often used to refer to the constant multiplier in any term. For example, in the term 6xy, if we just ask for the coefficient, we are interested in the value 6.
On the other hand, if we ask for the coefficient of y in that term, we expect to be told it is 6x. That is, the "coefficient" is the multiplier of the specified variable or constellation of variables.
The coefficient in the expression 8x is the number 8, which is the numerical factor that multiplies the variable x.
Identifying the Coefficient in the Expression 8x
To identify the coefficient in the expression 8x, we need to recognize that a coefficient is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression. In the case of 8x, the coefficient is 8. This means that 8 is the number by which the variable x is being multiplied. Coefficients play a crucial role in equations and functions, as they determine the proportionality and scale of the variable's effect within the expression.
For example, if x represents the number of units sold, and each unit contributes 8 units of value, the expression 8x would represent the total value contributed by all units combined.
What is the answer to -12=4+c
Answer:
c=-16
Step-by-step explanation:
We want to solve for c in the equation:
-12=4+c
We add the additive inverse of 4 to both sides of the equation to obtain:
[tex] - 12 + - 4 = 4 + - 4 + c[/tex]
We simplify to obtain:
[tex] - 12 - 4 = 4 - 4 + c[/tex]
We simplify further to get:
[tex] - 16= 0 + c[/tex]
Therefore
[tex] - 16 = c[/tex]
Or
[tex]c = - 16[/tex]
C = 5/9 x ( F - 32)
176*F = ?? *C
The original temperature conversion equation is Tc = 5/9 x (T-f - 32). When converting 176 degrees Fahrenheit, it is multiplied by 5/9 to get approximately 108.89 degrees Celsius.
The equation provided by the student, C = 5/9 x (F - 32), is used to convert a temperature from Fahrenheit (F) to Celsius (C). To find the factor to convert Fahrenheit to Celsius directly, we can manipulate the given formula. The request seems to be asking for the conversion factor that is applied to Fahrenheit to get Celsius. However, the original equation needs to be rewritten correctly as: TC = (5/9) × (T-F - 32). From this, we infer that each degree Fahrenheit is equivalent to 5/9 of a degree Celsius. Therefore, 176°F would convert to 176 × (5/9) = 980/9 or approximately 108.89°C.
please help me
7)
Multiply.
2x(x2 + 2x - 6)
A) 2x3 + 4x2 - 12x
B) 2x2 + 4x - 12
C) 2x3 + 4x - 12x
D) 2x3 + 4x2 - 6
Multiply the 2x by each term inside parentheses:
2x x x ^2 = 2x^3
2x x 2x = 4x^2
2x x -6 = -12x
Answer: A) 2x^3 + 4x^2 - 12x
Answer:
please mark me brainliest!
Step-by-step explanation:
Solve for t
-7/4=2/5t
Answer:
Step-by-step explanation:
-7/4 = 2/5t
*5 *5
-35/4 = 2t
-8.75 = 2t
-4. 37
What is 8/27 to the simplest form
Answer:
8/27 is already in the simplest form. It can be written as 0.296296 in decimal form (rounded to 6 decimal places).
Find the circumference and area of a circle with radius 8 cm. Express
your answer in terms of pi
Answer:
c=16*pi
a=64*pi
Step-by-step explanation:
The circumference and area of a circle with a radius of 8 cm are 16 pi cm and 64 pi [tex]cm^2[/tex], respectively.
Explanation:To find the circumference and area of a circle with radius 8 cm, we can use the following formulas:
Circumference = 2 * pi * radius
Area = [tex]pi * radius^2[/tex]
Plugging in the given value, we have:
Circumference = 2 * pi * 8 cm = 16 pi cm
Area =[tex]pi * 8^2 cm^2[/tex] = [tex]64 pi cm^2[/tex]
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Write a linear equation that passes through the point (2,-9) and has a slope of -5
Answer:
y=-5x+1
Step-by-step explanation:
y-y1=m(x-x1)
y-(-9)=-5(x-2)
y+9=-5x+10
y=-5x+10-9
y=-5x+1
The linear equation that passes through the point (2, -9) with a slope of -5 is y = -5x + 1.
To find the linear equation, we use the point-slope form of a line, which is:
y - y₁ = m(x - x₁)
Here,
m is the slope and (x₁, y₁) is a point on the line.
Given:
Slope (m): -5Point (x₁, y₁): (2, -9)Substitute the values into the point-slope form equation:
y - (-9) = -5(x - 2)
Simplify the equation:
y + 9 = -5(x - 2)y + 9 = -5x + 10y = -5x + 10 - 9y = -5x + 1So, the linear equation in slope-intercept form is y = -5x + 1.
HELPPP PLEASEE
QUICKK
Answer:
i forgot
Step-by-step explanation:
which of the following are perfect squares? check all that apply
21
18
1
81
100
72
Answer:
1,81, AND 100
Step-by-step explanation:
A PERFECT SQUARE IS A NUMBER THAT WHEN YOU MULTIPLY A NUMBER BY ITSELF, YOU WILL GET THAT NUMBER
1*1=1
9*9=81
10*10=100
if f(x) = 5x - 7, what is f(3)?
A. 22
B. 8
c. 2
D. 1
Answer:
B
Step-by-step explanation:
To evaluate f(3), substitute x = 3 into f(x)
f(3) = 5(3) - 7 = 15 - 7 = 8 → B
The area of a rectangle is 56 cm. The length is 2 cm more than x and the width is 5 cm less than
twice x. Solve for x. Round to the nearest whole number.
Answer:
x = 6, length = 8 cm and width = 7 cm
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Area of a rectangle = 56 cm²
Length of the rectangle = x + 2
Width of the rectangle= 2x - 5
2. Solve for x. Round to the nearest whole number.
Area of a rectangle = Length * Width
(x + 2) (2x - 5) = 56
2x² + 4x - 5x -10 = 56
2x² - x - 66 = 0
Factoring, we have:
(2x + 11) * (x - 6) = 0
x₁ = 2x + 11 = 0 ⇒ 2x = -11; x₁ = - 5.5
x₂ = x - 6 = 0 ⇒ x₂ = 6
We picked x₂ because x₁ will give us negative values for length and width.
Length = 6 + 2 = 8 cm
Width = 2 * 6 - 5 = 12 - 5 = 7 cm
Brittany graphs the plot (6,3) on a coordinate grid. Which describes where she should plot the point if she starts at the origin
If Brittany is starting at the origin and the destination is (6,3), Brittany should move 6 units to the right then 3 units up. This is location where she should plot the point.
Brittany graphs the plot (6,3), she should move 6 units to the right then 3 units up.
What is the plot?A plot is a graphical technique for representing a data set, usually as a graph showing the relationship between two or more variables. The plot can be drawn by hand or by a computer. In the past, sometimes mechanical or electronic plotters were used.
How to solve?
If Brittany is starting at the origin and the destination is (6,3), Brittany should move 6 units to the right and then 3 units up. This is a location where she should plot the point.
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24 students in a class took an algebra test. If 18 students passed the test, what percent do not pass?
Answer: 25 percent of the class did not pass
Step-by-step explanation:
The measure of two supplementary angles are x+10 and 2x-5. Find the values of x and then find the angles
Answer:
68 1/3, 111 2/3
Step-by-step explanation:
The sum of two supplementary angles is 180°, so ...
(x +10) +(2x -5) = 180
3x +5 = 180 . . . . . collect terms
x +5/3 = 60 . . . . . divide by 3
x = 58 1/3 . . . . . . . subtract 5/3
The first angle is ...
x +10 = 58 1/3 +10 = 68 1/3
The second angle is ...
2x -5 = 2(58 1/3) -5 = 116 2/3 -5 = 111 2/3
The angles measure 68 1/3 and 111 2/3.
Prove that the value of the expression: (5^18–25^8)(16^4–2^13–4^5) is divisible by 30 and 44.
Answer:
See explanation
Step-by-step explanation:
Given the expression
[tex](5^{18}-25^8)(16^4-2^{13}-4^5)[/tex]
First, simplify all terms:
[tex]25^8=(5^2)^8=5^{2\cdot 8}=5^{16}\\ \\16^4=(2^4)^4=2^{4\cdot 4}=2^{16}\\ \\4^5=(2^2)^5=2^{2\cdot 5}=2^{10}[/tex]
Then the expression is
[tex](5^{18}-5^{16})(2^{16}-2^{13}-2^{10})[/tex]
Use distributive property in both factors:
[tex](5^{18}-5^{16})(2^{16}-2^{13}-2^{10})=\\ \\=(5^{16}(5^2-1))(2^{10}(2^6-2^3-1))=\\ \\=(5^{16}(25-1))(2^{10}(64-8-1))=\\ \\=5^{16}\cdot 24\cdot 2^{10}\cdot 55=\\ \\=5^{16}\cdot 4\cdot 6\cdot 2^{10}\cdot 5\cdot 11=\\ \\=5^{16}\cdot 2^{10}\cdot (4\cdot 11)\cdot (5\cdot 6)=\\ \\=5^{16}\cdot 2^{10}\cdot 44\cdot 30[/tex]
Therefore, this expression is divisible by 30 and by 44
how would I solve y-8+3(y+4)
Answer:
y-8+3y+12
4y+4
Step-by-step explanation:
y-8+3y+12
4y+4 is your answer
Part II: What is 5,290,000,000,000 written out in words? What is it in scientific
notation?
Answer:
5,290,000,000,000 written in words would be
five trillion, two hundred and ninety billion
Written in scientific notation would be
5.29*10^12
Step-by-step explanation:
When writing numbers in words you always want to go from left to right, the last three of your digit was in the hundreds place, then the next three were in the thousands place, than the millions, then the billions, and last was the trillions which is where we got five trillion to start out with, you next number was two hundred and ninety billion, because your next place value was in the billions.
When writing numbers using scientific notation you always want just one number to the left of the decimal point. When adding a decimal we put it right after the 5 because then we only have one number in front of the decimal point. Then you would go times 10 to the whatever power it is. In our case it was 12 because you go from your decimal point and count backwards til you get to the correct number that you want
-Hope this helps ;)
Definition: This is the term in a polynomial without a variable.
Example: -6 in the expression 2x + 3y - 6 .
A term with no variables is a constant term. Negative six is the constant in that because it does not have a variable like the other numbers.
Answer:
Constant Term
Step-by-step explanation:
The length of a rectangle is 5 m less than twice the width, and the area of the rectangle is 52 m^2. Find the dimensions of the rectangle.
length is 8m
Width is 6.5m
Explanation:
Let, width = b
So, length = 2b-5
area = 52[tex]m^{2}[/tex]
We know,
area of rectangle = length X width
So, [tex]52m^{2}[/tex] = [tex](2b-5) X b[/tex]
On solving the above equation, we get
Width, b = 6.5m
length, l = 8m
5×8×4
_____ =
3
What is the answer?
Answer:
160
Step-by-step explanation: