Answers
Answer:
The length of the width is 1
Step-by-step explanation:
Since we are not finding the hypotenuse and we are given it, we have to rearrange the a² + b² = c² equation because that equation is to find the hypotenuse of a right - angled triangle and we are not asked to find the hypotenuse but the width so
a² + b² = c²
→ Substitute in the values
( √3 )² + b² = 2²
→ Simplify equation
3 + b² = 4
→ Minus 3 from both sides to isolate b²
b² = 1
→ Square root both sides to isolate b
b = 1
Related Questions
Which system of linear inequalities is represented by the graph x+5y>5 y<2x+4
Answers
Answer:
The lines represent the inequalities .
Further explanation:
The linear equation with slope m and intercept c is given as follows.
The formula for slope of line with points and can be expressed as,
Given:
The inequalities are as follows.
a. x – 5y < –5 and y < –2x – 4
b. x + 5y > 5 and y < 2x + 4
c. x – 5y < –5 and y < –2x + 4
d. x + 5y > 5 and y < 2x – 4
Step-by-step explanation:
The blue line intersects y-axis at , therefore the y-intercept is 4.
The blue line intersect the points that are and .
The slope of the line can be obtained as follows.
The slope of the line is m = 2.
Now check whether the inequality included origin or not.
Substitute in equation y=x+1.
0 is not greater than 1 which means that the inequality doesn’t include origin.
Therefore, the blue line is y < 2x + 4.
The orange line intersects y-axis at , therefore the y-intercept is 1.
The orange line intersect the points that are and .
The slope of the line can be obtained as follows.
The slope of the line is m = .
Now check whether the inequality included origin or not.
Substitute in equation y > .
0 is not greater than 1 which means that the inequality doesn’t include origin.
Therefore, the orange line is y > .
Solve the equation y > .
The equation of orange line is 5y + x > 5.
Option (a) is not correct as it satisfy the inequalities of the graph.
Option (b) is correct as it satisfy the inequalities of the graph.
Option (c) is not correct as it satisfy the inequalities of the graph.
Option (d) is is not correct as it satisfy the inequalities of the graph.
Hence, is correct.
Answer:
b
Step-by-step explanation:
What is the measure of angle x
Answers
Answer:
x = 145°Step-by-step explanation:
by looking at the figure we notice that angles AOB and BOC are two supplementary angles which means:
x + 35 = 180
then
x = 180 - 35
then
x = 145
A person jogs 1/2 mile in 1\8 hour. What is the persons speed per hour
Answers
Answer:
4 miles per hour is the speed
Answer: 4 miles per hour
Step-by-step explanation:
distance=1/2miles=0.5miles
time=1/8hours=0.125hours
Speed=distance ➗ time
Speed =0.5 ➗ 0.125
Speed =4 miles per hour
Ahmed was studying the shapes of quartz crystals, one of which he outlined below.
A figure can be broken into a parallelogram and triangle. The parallelogram has a base of 3 feet and height of 5 feet. The triangle has a base of 3 feet and height of 2 feet.
What is the area of the quartz crystal he was studying, in square feet?
Answers
Answer:
I believe it is 18 square ft.
Answer:
18 feet sq
Step-by-step explanation:
got it right on the test:)
5 miles and 8 ft. or 8800 yards
Answers
Answer:
5 miles and 8 ft because 8,800 yard is equal to 5 miles and 5 miles and 8 ft is larger than 5 miles
Step-by-step explanation:
Answer is above
Larger than 5 miles
Hope this helps.
Factor the expression below.
x2 - 49
Answers
Because: the difference of two squares.
Answer:
(x+7)(x-7)
Step-by-step explanation:
These are perfect squares. Whenever you have perfect squares, you can take the square root of the constant. The constant is 49 in this case. The square root of 49 is + or - 7. Therefore, you get (x+7) and (x-7) as solutions. Factored form is (x+7)(x-7).
At a furniture store there is a sale on kitchen tables and chairs. Single chairs sell $80 each. If a customer a set of 4 chairs, the total price would. be $250. What is the percent savings on the 4-chair set? Round to the nearest whole percent.
Answers
Answer:
4%
Step-by-step explanation:
1% of 250 is $2.50. Times 4 is $10. The difference between 240 and 250 is 10.
Answer:
235
Step-by-step explanation:
If x = 5, find the value of
a) x2
b) (x + 3)2
Answers
Answer: a) = 10
b) = 16
Step-by-step explanation:
a) as x = 5 so putting the value of x in given equation
5 multiplied by 2 is equal to 10
b) Putting value of x in given equation
= (5 + 3) 2
According to BODMAS solve the brackets first
= 8 x 2
= 16
Given g(x)= -x-2, find g(0)
Answers
Answer:
-2
Step-by-step explanation:
You just have to plug in 0 for x
-(0)-2
there's no such thing as a negative 0 so it would just be negative 2
There are a total of 193 member states (countries) in the united nations as of 2014.The member states are divided into regional groups. The asia group has one less member than the africa group. The european groups are smaller: eastern europe has four less than half the africa group. The western europe group (which includes the united states) has 6 more than eastern europe. The latin america group has 21. Less than the africa group. One country (kiribati, in the central pacific ocean) is in no regional group at all. How many countries are in each of the five groups?
Answers
Answer:
Africa = 54 countries
Asia = 53 countries
Eastern Europe = 23 countries
Western Europe = 29 countries
Latin America = 33 countries
Step-by-step explanation:
193 member states - Kiribati = 192 countries
Asia = Africa - 1
Eastern Europe = 0.5Africa - 4
Western Europe = 0.5Africa + 2
Latin America = Africa - 21
Africa
Africa + (Africa - 1) + (0.5Africa - 4) + (0.5Africa + 2) + (Africa - 21) = 192
4Africa - 24 = 192
4Africa = 192 + 24 = 216
Africa = 216 / 4 = 54
Asia = 54 - 1 = 53
Eastern Europe = 0.5(54) - 4 = 23
Western Europe = 0.5(54) + 2 = 29
Latin America = 54 - 21 = 33
Africa is = 54 countries
Asia is = 53 countries
Eastern Europe is = 23 countries
Then, Western Europe is = 29 countries
After that, Latin America = 33 countries
What is Logical Data Grouping?Then, 193 member states - Kiribati = 192 countries
After that, Asia = Africa - 1
Now, Eastern Europe = 0.5Africa - 4
Western Europe is = 0.5Africa + 2
Latin America is = Africa - 21
Africa
Africa + (Africa - 1) + (0.5Africa - 4) + (0.5Africa + 2) + (Africa - 21) = 192
4Africa - 24 = 192
4Africa = 192 + 24 = 216
Africa = 216 / 4 = 54
Asia = 54 - 1 = 53
Eastern Europe = 0.5(54) - 4 = 23
Western Europe = 0.5(54) + 2 = 29
Therefore, Latin America = 54 - 21 = 33
Find more information Logical Data Grouping here:
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Convert 7/6 to a mixed number
Answers
7 out of 6 ymto a mixed number is
1¹/6
What is the perimeter of the quadrilateral
shown below?
Answers
Answer:
6x^2+x-1
Step-by-step explanation:
(2x+5)+(4x^2+2x)+(x^2-3x)+(x^2-6)
=4x^2+x^2+x^2+2x+2x-3x+5-6
=6x^2+2x+2x-3x+5-6
=6x^2+x+5-6
=6x^2+x-1
You roll a die 30 times. The table shows the results. Find the experimental probability of rolling each number. Write each probability as a fraction in simplest form. For which number is the experimental probability of rolling the number the same as the theoretical probability?
Answers
Answer:
i need this answer too someone please answer lol
Write the expression – 5x(4 + 3x) using words.
the sum of negative five times a number and four minus three times the number
the product of negative five times a number and the quantity four plus three times the number
the product of three times a number plus the quantity four and five times the number
Answers
Answer:
the product of negative five times a number and the quantity four plus three times the number
Step-by-step explanation:
Answer:
The second one
Step-by-step explanation:
which rational number does not have a reciprocal
Answers
Answer:
the rational numbers that doesn’t have a reciprocal are [math]0 [/math] (which can also be expressed as [math]\frac {0} {x}, x \neq 0 [/math] ), and any number of the form [math]\frac {x} {0} [/math].
Step-by-step explanation:
Fill in the blanks:-
The product of a number and its reciprocal is __________ .
PLEASE HELP.....I NEED TO SUBMIT IT NOW
Answers
Answer:
The product of a number and its reciprocal is 1.
For i.e : 4/3 and its reciprocal 3/4, 4/3 x 3/4 = 1
Hope this helps!
:)
Janet is in a race at a summer camp. She must run around a circular lake. She knows rhe diameter of the lake is 1.5 miles how far will Janet run? Use 3.14 for π
Answers
Answer:
4.71 miles
Step-by-step explanation:
Janet must run the length of the circumference of the circular lake.
The circumference of a circle is given as:
C = πD
where D = diameter of the circle.
The diameter of the circular lake is 1.5 miles. Therefore, its circumference is:
C = 3.14 * 1.5
C = 4.71 miles
She must run 4.71 miles.
Answer:
4.71
Step-by-step explanation:
Erica has a small metal treasure box. The inside of the box is 3 inches wide, 6 inches long, and 4 inches deep. Erica wants to line the box with fabric to protect the items she puts in the box. How many square inches of fabric will she need? Show your work
Answers
Answer: she will need 108 square inches of fabric.
Step-by-step explanation:
To determine the number of square inches of fabric that she will need, we would determine the surface area of the inner part of the box. The formula for determining the surface area of a box or cuboid is expressed as
Surface area = (2lw + 2lh + 2wh)
Where
l represents length of the box = 6 inches
w represents width of the box = 3 inches
h represents height of the box = 4 inches
Therefore,
Surface area = (2 × 6 × 3) + (2 × 6 × 4) + (2 × 3 × 4) = 108 inches²
PLEASE HELP WILL GIVE BRAINLIESTT
Answers
What is 40% percent of 10?
Answers
Answer:
4
Step-by-step explanation:
10*4=40
Henrique began to solve a system of linear equations using the linear combination method. His work is shown below:
3(4x – 7y = 28) → 12x – 21y = 84
–2(6x – 5y = 31) → –12x + 10y = –62
12x – 21y = 84
+ –12x + 10y = –62
–11y = 22
y = –2
Complete the steps used to solve a system of linear equations by substituting the value of y into one of the original equations to find the value of x.
What is the solution to the system?
Answers
Answer:
(3.5, -2)
Step-by-step explanation:
Just got it right on edge 2020
The solution to the system of linear equations is: (3.5, -2).
Solution to the System of Linear EquationsTo find the solution to the system of linear equations, find one of the variables, using the combination method, then substitute the value of one of the variables into one of the original equation to find the other variable.Thus, having solve for y as -2, substitute y = -2 into 12x – 21y = 84.
12x – 21(-2) = 84
12x + 42 = 84
12x = 84 - 42
12x = 42
x = 3.5.
Therefore, the solution to the system of linear equations is: (3.5, -2).
Learn more about the system of linear equations on:
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A square has an area of 9 cm^2. What is the length of each side?
Answers
Answer:
The side length is 3 cm
Step-by-step explanation:
The area of a square is given by
A = s^2 where s is the side length
9 = s^2
Take the square root of each side
sqrt(9) = sqrt(s^2)
3 =s
The side length is 3 cm
Answer:
3cm
Step-by-step explanation:
As we know it's a square, we can just square the area to get:
[tex]\sqrt{9}[/tex] = 3
We know we can do this as to find the area of a square or rectangle you just need to multiply the sides together. As it's a square, all the sides are the same so they have the formula:
x * x = A (unit)^2
Melaine charges $4.50 per hour when she washes cars, plus $5.00 for supplies. Which function rule represents the amount y melaine cahrges to wash cars for x hours?
A y= 0.50x
B y= 4.50x + 5.00
C y= 5.00x + 4.50
D y= 9.50x
Answers
Answer:
B y= 4.50x + 5.00
Step-by-step explanation:
4.50 is the “mx” in y=mx+b also known as the Slope that moves.
the 5 is the ”b” which is the y-intercept. It is a constant and does not change.
How may cups are In a gallon
Answers
Answer:
I think it is 16 cups in a gallon
what are the factors of 36x⁸-49?
Answers
Answer:
(6x^4+7)(6x^4-7)
Step-by-step explan
Answer:
The common factor is 1
(6x^4+7) (6x^4-7)
Step-by-step explanation:
Jacob took a total of 12 quizzes over the course of 3 weeks.
How many weeks of school will Jacob have to attend this quarter before he will have taken a total of 16 quizzes?
Answers
Answer:
4 weeks
Step-by-step explanation:
The number of weeks for a total of 16 quizzes will be 4 weeks.
What is an expression?
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
It is given that Jacob took a total of 12 quizzes over the course of 3 weeks. The number of weeks for 16 quizzes will be calculated as below:-
12 quizzes = 3 weeks.
1 quizzes = 3 / 12 weeks
16 quizzes = ( 3 / 12 ) x 16 = 4 weeks
Therefore, the number of weeks for a total of 16 quizzes will be 4 weeks.
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You are tiling the floor of a 6-foot by 8-foot bathroom. The sink occupies a 3-foot by 2-foot area and the bathtub occupies a 5-foot by 3-foot area. You do not need to tile the area occupied by the sink or bathtub. How much of the floor, in square feet, do you need to tile?
Answers
Answer:
The floor, in square feet, you need to tile is [tex]27ft^{2}[/tex]
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes.
To solve this problem we need to calculate the areas of the sink and the bathtub and subtract it from the the area of the the bathroom, the result is the amount of space you need to tile
Step one
Area of sink
[tex]area= length * width\\ area= 3* 2 = 6 ft^{2}[/tex]
Area of bathtub
[tex]area= length * width \\area= 5*3\\area= 15ft^{2} \\[/tex]
Area of bathroom
[tex]area= length* width\\ area = 8* 6\\area=48ft^{2}[/tex]
Step two
To calculate the area we need to tile
let us subtract the areas of the bathtub and the sink from the bathroom we have
[tex]= 48-15-6\\=27ft^{2}[/tex]
Use only the digits 0 - 9 and the decimal and the negative sign, if needed, to fill in the blank. If f(x) = 3x – 8, then f(-4.7) = _____.
Answers
Answer:
-22.1
Step-by-step explanation:
f(x) = 3x – 8,
Let x = -4.7
f(-4.7) =3(-4.7) -8
=-14.1-8
-22.1
Hope this helps
I need help the two select choices are reduction and enlargement
Answers
Answer:
Reduction; enlargement
Step-by-step explanation:
When the scale factor is between 0 and 1, the figure shrinks, making it a reduction in size. When its greater than 1, the figure grows, enlarging it. If the scale factor is 1, the figure stays the same and doesn't shrink or grow.
Answer:
Answer is below
Step-by-step explanation:
A dilation with a scale factor between 0 and 1 is a reduction, while a dilation with a scale factor greater than 1 is an enlargement.
If you multiply the scale factor by more than 1, the scale factor will increase, causing an enlargement. If you multiply the scale factor by between 0 and 1, the scale factor will decrease, causing a reduction.
in the figure below the hexagon is regular which of the following is the image of the point for the given rotation r(120j) (f)
Answers
Answer: B
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
3+9=18
