Rhombus A B C D is shown. The length of A B is 9 s + 29 and the length of opposite side D C is 10 s minus 16. What is the value of s and the length of side BC if ABCD is a rhombus? S = AB = units
Answer:
s=45 UnitsLength of side BC=434 UnitsStep-by-step explanation:
Given a rhombus ABCD
|AB|=|DC| (Opposite sides of a rhombus are equal)
|AB|=9s+29
|DC|=10s-16
Therefore:
9s+29=10s-16
Collect like terms
10s-9s=29+16
s=45 UnitsRecall: |AB|=9s+29
|AB|=9(45)+29=405+29=434 Units
Since all the sides of a rhombus are congruent
AB=AC=BD=CD
Therefore:
|BC|=434 Units
Therefore, the length of side BC=434 UnitsAnswer:
s=45
ab=434
Step-by-step explanation:
What if the slope of the line ?
Answer:
The slope of the line is 1
Step-by-step explanation:
To figure out the slope, you just have to do rise over one, if the line is going up from left to right then the slope is positive, which is the case shown
Graph f(x) = x and g(x) =
and g(x) =-1/3x+2
x on the same coordinate plane.
Hey there!
Let's think of both of these functions as two different slope-intercept equations (y=mx+b). Don't let all of the fs and gs confuse you; those are just showing that they are two different functions!
Our function f has an equation of y=x, which is a diagonal line that passes through the origin and goes across each small grid on the graph diagonally.
Our function g has an equation of y=-1/3x+2, which means that it will intersect with the y-axis at two units above the origin and for every three whole steps it goes to the right, it will have gradually gone down one whole step as well.
Attached to my answer is what a graph of it would kind of look like. Sorry if the lines don't look too much like a line it's a bit difficult to draw with a mouse haha!
I hope that this helps! Have a wonderful day!
whats 2.638 rounded to the nearest hundredth?
Answer:
2.64
Step-by-step explanation:
The 8 in the thousandths place can round up to .64
The area of a rectangle is 256.5 square meters. If the length is 18 m, what is the perimeter of the rectangle?
Answer:
64.5 m
Step-by-step explanation:
1) Find the width: A = L*W, and so W = A / L = (256.5 m²) / (18 m) = 14.25 m.
2) Find the perimeter, using the formula P = 2L + 2W:
Here P = 2(14.25 m) + 2( 18 m) = 64.5 m
Please answer i'll give brainlist
AD and BE are diameters. What is the measure of arc EDC
A. 125 degrees
B. 145 degrees
C. 235 degrees
D. 215 degrees
Answer:
a
Step-by-step explanation:
Can I please have help?
Answer:
.25 fraction form
Step-by-step explanation:
118th pie ft3
The missing dimension of the cone given is h = 3/2 feet.
Given a cone.
It is required to find the missing dimension of the cone.
It is given that:
Diameter of the base of the cone = 2/3 feet
The diameter is twice the length of the radius.
So, the radius of the base of the cone = (2/3) / 2 = 1/3 feet
Here the height of the cone is the missing dimension.
Given the volume of the cone = 1/18 π ft³
The formula to find the volume of the cone is:
V = 1/3 πr²h
Here r is the radius and h i the height.
Substitute the given values.
1/3 π(1/3)²h = 1/18 π
1/27 h = 1/18
h = 27/18 = 3/2 feet
Hence the height is 3/2 feet.
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Find the greatest common factor of 24, 40 and 60
Please answer asap ty!!
Answer:
4
Step-by-step explanation:
Answer:
GCF=4
Step-by-step explanation:
It's 4
24/4=6
40/4=10
60/4=15
You can't go any higher because there is no GCF of 6, 10, and 15.
A submarine at a depth of 675 feet below the surface rose to 1/3 this depth. Which of the following represents the new depth of the submarine below the surface?
Answer:
225
Step-by-step explanation:
Take 675/3 to find one third of its current depth. That gives you your answer. Does that make sense?
Find the equation of the line!
help
Answer:
[tex]y=2x+5[/tex]
Step-by-step explanation:
[tex](5,0)[/tex]
Since the y-axis is cross on 5, that's the slope.
y=mx+5
To find x, let's use the formula;
[tex]m=\frac{rise}{run}[/tex]
[tex]m=\frac{6}{3}=2[/tex]
When a cycle is sold allowing 10% discount on its marked
price a seller gains 5% and allowing 5% discount the profit is
Rs 351. Find the cost price of the cycle. (Ans: Rs. 3240)
The cost price of the cycle is Rs.3240
Represent the cost price of the cycle with x and the selling price with y
A gain of 5% when the marked price is at a discount of 10% implies that:
[tex]5\%=\frac{(1 - 10\%)y-x}{x}[/tex]
Express 10% as decimal
[tex]5\%=\frac{(1 - 0.10)y-x}{x}[/tex]
[tex]5\%=\frac{0.90y-x}{x}[/tex]
Express 5% as decimal
[tex]0.05=\frac{0.90y-x}{x}[/tex]
Cross multiply
[tex]0.05x=0.90y-x[/tex]
Collect like terms
[tex]x + 0.05x=0.90y\\[/tex]
This gives
[tex]1.05x=0.90y[/tex]
Make y the subject of the formula
[tex]y = \frac{1.05x}{0.90}[/tex]
Also, when the discount is 5% and the profit is 351, we have:
[tex]351=(1 - 5\%)y -x[/tex]
Express 5% as decimal
[tex]351=(1 - 0.05)y -x[/tex]
This gives
[tex]351=0.95y -x[/tex]
Make y the subject
[tex]0.95y = 351 + x[/tex]
Substitute [tex]y = \frac{1.05x}{0.90}[/tex]
[tex]0.95 \times \frac{1.05x}{0.90} = 351 + x[/tex]
[tex]\frac{0.9975x}{0.90} = 351 + x[/tex]
Subtract x from both sides
[tex]\frac{0.9975x}{0.90} -x= 351[/tex]
Take LCM
[tex]\frac{0.9975x - 0.9x}{0.90}= 351[/tex]
[tex]\frac{0.0975x}{0.90}= 351[/tex]
Multiply both sides by 0.90
[tex]0.0975x= 315.9[/tex]
Divide both sides by 0.0975
[tex]x= 3240[/tex]
Hence, the cost price of the cycle is Rs.3240
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How to determine the function with the graph?
Plz, help me plz!!!!!!!!!!!!! will mark brainliest!!!!
The scatter plot shows the total number of songs downloaded on a popular music service.
image below
Answer:
Its B. y-5x+5
Step-by-step explanation:
Use the slope formula
The equation of the linear model is y = 5x + 5. The correct answer is option B.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
We can find the equation of the linear model passing through two points using the slope-intercept form of a line:
y = mx + b
where m is the slope of the line and b is the y-intercept.
First, we need to find the slope of the line:
m = (y₂ - y₁) / (x₂ - x₁)
Let (0, 5) be the first point, and (3, 20) be the second point:
m = (20 - 5) / (3 - 0) = 15 / 3 = 5
Now that we know the slope, we can plug in one of the points and solve for the y-intercept:
y = mx + b
5 = 5(0) + b
b = 5
Hence, the equation of the linear model is:
y = 5x + 5
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Which problem is being modeled on the number line?
Answer:
Step-by-step explanation:
What is the y-intercept of the quadratic function f(x) = (x-8)(x+3)
Answer:
-24
Step-by-step explanation:
To find the y intercept, plug x in as 0.
Answer:
-24
Step-by-step explanation:
Y intercept is where graph cuts the y axis and it satisfies x=0
So put x=0 in your equation
F(0)= -8 x 3
F(0)= -24
Therefore y-intercept= -24
A rectangular prism has a length of 12in, a height of 5in, and a width of 8in. What is its volume, in cubic in?
Answer: The volume is 480 in^3
Step-by-step explanation:
v= lwh
v= 12 * 5 * 8
v= 480 in^3
Answer:
Volume of the rectangular prism = [tex]480in.^{3}[/tex]
Step-by-step explanation:
Formula for the volume of a rectangular prism= Ah, where A= base area
& h= height
Base area(A)= Length×Width
= 12in.×8in.
= [tex]96in.^{2}[/tex]
Since height=5in.,
Volume= [tex]96in.^{2}[/tex]×5in.
= [tex]480in.^{3}[/tex]
Hope this helps!!!
Pls mark as brainliest
Please answer ASAP In need of help
Answer:
5/7
Step-by-step explanation:
Billy experienced a rate of catfish to toral fish of 10/14. This is 5/7. So if this rate continues, he could expect the probability of catching a catfish to be : 5/7
Rafael has $230 in his savings account. He used 20% of his money to buy a video game. what was the cost of the video game?
Answer:
46
Step-by-step explanation:
turn the percentage into a fraction
so 20% is equal to 2/10.
230 is the whole number so multiply is by the numerator which is 2
230 x 2=460
and divide it by the denominator which is 10
460/10=46
i really need help guys can some one plz help me it's for 10 points
Answer:
[tex]\sqrt{8}----- 2units,2units[/tex]
[tex]\sqrt{7} ------\sqrt{5}units,\sqrt{2}units[/tex]
[tex]\sqrt{5}-------1unit,2units[/tex]
[tex]3------2units, \sqrt{5}units[/tex]
Step-by-step explanation:
Use pythagorean's theorem to solve each pair individually.
The instructions say that you have the two sides (a and b) and you have to match it with their hypothenuse.
[tex]Formula: c^2=a^2+b^2[/tex]
1. [tex]a=\sqrt{5}, b=\sqrt{2}[/tex]
Plug this into the formula.
[tex]c=\sqrt{(\sqrt{5} )^2+(\sqrt{2})^2 }[/tex]
The square here eliminates the roots.
[tex]c=\sqrt{5+2}\\ c=\sqrt{7}[/tex]
2. [tex]a=\sqrt{3}, b=4[/tex]
[tex]c=\sqrt{(\sqrt{3} )^2+(4)^2}\\ c=\sqrt{3+16}\\ c=\sqrt{19}[/tex]
3. [tex]a=2, b=\sqrt{5}[/tex]
[tex]c=\sqrt{(2)^2+(\sqrt{5})^2 }\\ c=\sqrt{4+5}\\ c=\sqrt{9}\\ c=3[/tex]
4. [tex]a=2, b=2[/tex]
[tex]c=\sqrt{(2)^2+(2)^2}\\ c=\sqrt{4+4}\\ c=\sqrt{8}[/tex]
5. [tex]a=1, b=2[/tex]
[tex]c=\sqrt{(1)^2+(2)^2}\\ c=\sqrt{1+4}\\ c=\sqrt{5}[/tex]
square root of 52 to the nearest 100th
Answer:
7.211
Step-by-step explanation:
Find the greatest common factor.
бах2 + бах + ба
Answer:
6a
Step-by-step explanation:
The GCF (Greatest Common Factor) is a number/variable that you can take out of all of the terms in the expression.
In this case, each term in this expression has a 6, and an a, but not all have an x, so we only take out:
6a
By taking 6a, you get:
6a([tex]x^2[/tex] + x + 1)
Please help it’s urgent
Answer:
sin theta = opp/ hypotenuse
Step-by-step explanation:
sin theta = opp/ hypotenuse
cos theta = adj/ hypotenuse
tan theta = opp/ adj
In this case we know the opposite and the hypotenuse
Find the unknown length. Round to the nearest tenth if necessary.
Answer:
a= 7.4
Step-by-step explanation:
Answer:
7.4
Step-by-step explanation:
Get the squares of the two given sides , subtract them , to get a squared.
square root the answer , which is 55 , to get the actual side , which is 7.416...
round off to 1 dp to get 7.4
What is the area of the trapezoid?
8 m
110 m
12 m
80 m2
96 m2
100 m2
120 m2
Answer:
I think the answer is 96
Step-by-step explanation:
I think that u have to multiply eight times ten. The you add twelve and that is how I got the answer of 96. I am pretty sure that it is correct but just i case I am sorry if u don't get it right.
Answer:
100
Step-by-step explanation:
the formula is b1+b2 divided by 2 times the height. 8+12=20 divided by 2 is 10 times 10 is 100.
find the variable: n/14=3
Answer:
n=42
Step-by-step explanation:
Will give brainliest! I only need e f and g done!!!!
Answer:
E) the new price is going to be $3.92
Work: 3.50 × 12 / 100 = 0.42
3.50 + 0.42 = 3.92
F) Dont understand what this one is asking
G) You would save 1.03$ with the 10% off.
Work: 10.3 x 10 / 100
103 / 100
$1.03
hope this helps
I need help with this :/ pls help
Answer:
When you divide by 10^3, the decimal point moves three places to the right. When you multiply by 0.001, the decimal point moves three places to the right. So, both equal .0777
Step-by-step explanation:
A(-1,2) B(3,1) C(1,-4) To the new coordinated A'(-2,4) B'(6,2) C'(2,-8) what was the scale factor?
Answer:
Step-by-step explanation:
A(-1, 2) ==> A'(-2, 4)
B(3,1) ==> B'(6,2)
C(1,-4) ==> C'(2,-8)
Based on the results of each set, the scale factor is 2
A(-1*2, 2*2)= A'(-2, 4)
Reid has a bag that contains fruit. The bag contains 16 pineapple 17 pomegranates and 12 melons. what is the probability pulling pomegranate out of the bag?
Answer:
17/45
Step-by-step explanation:
Answer:
is your brainly working?
Step-by-step explanation:
What is 4 divided 2/3
Answer:
the answer for that equation is 6
Answer:
Step-by-step explanation:
4÷2/3=4/1÷2/3=4/1×3/2=12/2=6
I hope it'll help you much
Thank you for asking