Answer:
The base of the rhombus is equal to 9 centimeters.
Step-by-step explanation:
To calculate the base of the rhombus, we will follow the steps below;
write the formula for calculating the area of a rhombus
area of a rhombus = b × h
where h is the height of the rhombus and b is the base of the rhombus
From the question given, area of the rhombus = 72 square centimeters and height of the rhombus is 8 centimeters.
we can now proceed to insert the values into the formula and then solve for b
area of a rhombus = b × h
72 = b × 8
Divide both-side of the equation by 8
[tex]\frac{72}{8}[/tex] = b × 8 /8
[tex]\frac{72}{8}[/tex] = b
9 = b
b = 9 centimeters
The base of the rhombus is equal to 9 centimeters.
What is the slope, m, and the y-intercept of the line that is graphed below? On a coordinate plane, a line goes through points (negative 3, 0) and (0, 3). m = 1; (0, 3) m = 1; (–3, 0) m = –1; (0, 3) m = –1; (–3, 0)
Answer:
m = 1; (0, 3) is the correct answer.
Step-by-step explanation:
The general equation of a line is given by:
[tex]y=mx+c[/tex]
where, m is the slope of line
c is the y-intercept and
(x,y) are the points from where the line passes.
We are given that the line passes through 2 points (-3,0) and (0,3).
Putting the values of (x,y) in the equation of line.
Putting (0,3):
[tex]3 = m \times 0 + c\\\Rightarrow c =3[/tex]
So, y-intercept is (0,3).
Hence, equation of line becomes:
[tex]y = mx + 3[/tex]
Putting (-3,0) in [tex]y = mx + 3[/tex]:
[tex]0 = m(-3) +3\\\Rightarrow 3m = 3\\\Rightarrow m =1[/tex]
So, the equation of line becomes:
[tex]y = x +3[/tex]
Please find attached graph.
m = 1; y intercept (0, 3) is the correct answer.
Answer:
m = 1; (0, 3)
Step-by-step explanation:
took the test!!
What are the vertex and x-intercepts of the graph of y= x2 - 4x - 21? Select
one answer for the vertex and one for the x-intercepts.
A. Vertex: (-2, -9)
B. x-intercepts: (3.0), (-7,0)
C. Vertex: (2,-25)
D. x-intercepts: (3.0), (7,0)
E. x-intercepts: (-3,0), (7,0)
F. Vertex: (2, 13)
Here is a rectangle.
4.3 cm
7 cm
7 cm
4.3 cm
The 6-sided shape is made from two of these rectangles.
Work out the perimeter of this 6-sided shap
Answer:36.6cm
Step-by-step explanation;
you can make a six sided shape by keeping the two rectangles as it makes the shape of L
perimeter = 2(4.3cm)+4(7cm)
=8.6cm=28cm
=36.6cm
The perimeter of the 6-sided shape assuming it jointly at 4.3 cm sides will be 36.6 cm.
What is the perimeter?Perimeter is the addition of an external measure of sides it will always positive.
A perimeter is a length and has a degree of the unit as one.
The perimeter of the circle = πd where d is the dia of the circle.
As per the drawn combined rectangle.
Perimeter = 2(4.3) + 4(7)
⇒ 36.6 cm
Hence "The perimeter of the 6-sided shape assuming it jointly at 4.3 cm sides will be 36.6 cm".
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(b) A hairdryer connected to the mains supply takes a current of 5.5
.Which of these fuses should be (1) used with the hairdryer?
A= 3A
B= 5A
C= 7A
D= 13A
(i) Explain your answer. (1)
Answer:
C = 7A
Step-by-step explanation:
A & B would 'blow' because they are not able to carry enough current.
D is discounted , because if there was an electrical malfunction the appliance would still work, but you could get an electric shock.
Use the function below to find F(4).
Answer:
5/16
Step-by-step explanation:
f(x) = 5 * (1/2) ^x
Let x=4
f(4) = 5 * (1/2) ^4
= 5 * (1/16)
= 5/16
You draw one card from a standard deck of playing cards. If you pick a heart, you win $10. If you pick a face card, which is not a heart, you win $8. If you pick any other card you lose $6. What is the expected value of the game?
Answer:
The expected value of the game is $131
Step-by-step explanation:
54 Cards in a deck including Jokers
52 Cards in a deck not including Jokers
13 Hearts
13 Clubs
13 Spades
13 Diamonds
13 Face Cards
13 / 52 = 25% Chance Of Pulling A Heart
30 / 52 = 57% Chance Of Pulling A Face Card Not A Heart
9 / 52 = 17% Chance of Loosing $6
$130 = Pick A Heart
$81 = Face Card Not a Heart
$130+$81 = $211
30 x 6 = $180
The expected value of the game is $131
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 27pie ft.
Which equation gives the volume of the sphere?
V=2/3(27pie)
V=4/3(27)
V=2/3(27)
V=4/3(27pie)
Description:
As we know that the sphere and the cylinder have the same radius and the height. Meaning
R = Radius
H = Height
V= 27 pie
Volume of the cylinder is 27 pie. We calculate the volume for the sphere and the cylinder which had the same radius and the height. And after that the answer will come. Meaning correct answer for this question is A.
Answer: V = 2/3 (27 pi)
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Hope this helps.
which of the following relations is a function ?
Answer:
B.
Step-by-step explanation:
it is a function because each x value maps to only 1 y value (3).
This is an example of a many-to-one function.
The population of a city is increasing at a rate of 4% each year. In 2000, there were 236,000 people in the city. Write an exponential growth function to model this situation. Then find the population in 2009.
Answer:
A = 236,000 (1+ 0.04)^9
335,902 people in 2009
Step-by-step explanation:
Hi, to answer this question we have to apply an exponential growth function:
A = P (1 + r) t
Where:
p = original population (in 2000)
r = growing rate (decimal form) = 4/100 = 0.04
t= years
A = population after t years
Replacing with the values given:
A = 236,000 (1+ 0.04) ^t
To find the population in 2009:
We have to calculate the number of years passed since 2000: (2009-2000 = 9 years =t)
Substituting t=9 in the function:
A = 236,000 (1+ 0.04)^9
A =335,902 people
Feel free to ask for more if needed or if you did not understand something.
Josie deposited $1400 into a traditional IRA that grew to $3700 at her
retirement. If Josie is currently in the 10% tax bracket and is 76 years old, how
much tax will she have to pay when she withdraws the entire $3700?
Answer:
THA ANSWER IS $3701!!!!
Step-by-step explanation:
I JUST DID IT
Answer:
$370
Step-by-step explanation:
Which of the fractions are equivalent to the fraction below?
the answer is d when you simplify the equation it will leave you with 2/3
Answer the following questions.
1). An airplane flies west for 100 miles and lands. Then it is put aboard a truck and hauled 12
miles south for service. What is the airplane's displacement?
720 miles west southwest
Answer: 864,000
Step-by-step explanation:
and that's if it's multiplication
Select true or false to tell whether the following disjunctions are true or false. Use the truth table if needed.
5 · 3 = 15 or 7 + 5 = 20
True
False
Answer:
false
Step-by-step explanation:
5·3=15 (5+5+5) does equal 15 BUT
7+5≠20
7+5=12
Use the algebra tiles determine which expression is equivalent to -5x + 4.
Answer:
[tex]4 - 5x[/tex]
hope its helpful
Answer:
(-3x) + 3 + (-2x) + 1
Step-by-step explanation:
What is the value of r in the equation -1.5(4-r)=-12?
–6
–4
4
6
Answer:
B -4
Step-by-step explanation:
-1.5(4 - r) = -12
Distribute -1.5.
-6 + 1.5r = -12
Add 6 to both sides.
1.5r = -6
Divide both sides by 1.5.
r = -4
Your answer is -4.
Answer:
r = -4
Step-by-step explanation:
-1.5(4-r)=-12
Divide each side by -1.5
-1.5 / -1.5 *(4-r)=-12 / -1.5
(4-r) =8
Subtract 4 from each side
4-r-4 = 8-4
-r = 4
Divide each side by -1
-r/-1 = 4/-1
r = -4
I am a 2 dimensional shape that had 5 obtuse angles
Answer:
A pentagon.
Step-by-step explanation:
A pentagon is a 5-sided polygon. Its interior angles each are equivalent to 108°.
108° ≥ 90°, so the angles are obtuse.
Therefore, a 2-D shape with 5 obtuse angles is a pentagon.
If the spinner is spun once, then P (landing on test postponed) is...
A)impossible
B)unlikely
C)equally likely
D)likely
E)certain
Answer:A
Step-by-step explanation:
Write log 24 in terms of log 2 and log 3.
A) log 3 + 3log 2
B) log 3 + 4log 2
C) log 3 + (log 2)3
D) 2log 3 + 2log 2
Answer:
the answer is a log 3 +3log2
Step-by-step explanation:
hey I couldn't help but notice, your test look like they are from James Madison high school. I was wondering you have done algebra 2 part 2. I'm really struggling. If you could can you comment on one of my questions to let me know. thanks
When we write Log 24 in terms of Log 2 and Log 3, the result is:
Log 3 + 3Log 2 (Option A)
Logarithm ruleLog (AB) = Log A + Log B
How to express Log 24 in terms of Log 2 and Log 3.Log 24 = Log (3 × 8)
Log 24 = Log 3 + Log 8
Recall
8 = 2³
Therefore,
Log 24 = Log 3 + Log 2³
Recall
Log Aⁿ = nLog A
Therefore,
Log 24 = Log 3 + 3Log 2
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You need to create a fenced Off region of Land for cattle to graze. The grazing area must be a total of 500 square feet surrounded by a fence and in the shape of a regular polygon within this grazing area the length of the apothem must be 10 feet long.
Part. 1 find the total perimeter of the grazing area
Part 2. if the cost of the fence is $7.95 per linear foot how much will it cost to place a fence around the entire grazing area?
Part 3 - suppose this grazing area is 1/60 of an industrial grazing area for major industry farm. What is the total cost to build a fence around the entire land of the large scaled farm
Use property of proportions
show all work
Answer:
Part 1: The perimeter of total grazing area is 100 feet.
Part 2: The cost of fencing the entire grazing area is $759.
Part 3: The total cost to build a fence around the entire land of the large scaled farm is $ 45540.
A= perimeter X apothem /2
A=500
apothem = 10
500 = (P * 10)/2
P =100
B. 100*7.95 = $795
C.
60*100= 6,000
6,000 * $7.95=
$47,520
Reflect the triangle in the mirror line.
The diagram attached below shows the schematic representation of reflection of a triangle that occurs in a plane mirror.
What is a reflection?A reflection can be defined as a type of transformation which moves every point of the object by producing a flipped but mirror image of the geometric figure.
The top left point will stay the same in the axis, and will be on the axis
Finally, the top right point will stay true same on the x-axis, but will be on the axis in its image.
Since the mirror is a plane surface which can reflect light. The diagram attached below shows the schematic representation of reflection of a triangle that occurs in a plane mirror.
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The length of the diameter of a sphere is 8 inches. The volume of the sphere is
the surface area of the
sphere
Answer: 268.08 cu. in = volume
Surface area = 201.06 sq. in
Step-by-step explanation:
Volume of sphere = 4/3 pi r^3
Surface area = 4 pi r^2
Answer:
The Volume is greater than the Surface area of a sphere.
SA= 4
V= (4 x 3.14 x 4³) ÷ 3. (803.84) ÷ 3. 267.94.
SA= 4 x 3.14 x 4². (12.56)16. 200.96.
Step-by-step explanation:
ΡLΖ mark me brainliest if correct.
Which equation represents the data in this function table?
OA) y = x + 3
OB) y = 3x
OC) x = y + 3
OD) x = 3y
Answer:
a
Step-by-step explanation:
because its easy
Answer:
its A, i did the qui on time for learning
Step-by-step explanation:
Help!!!! this is plato and i’m not sure how to do this
Answer:not sure either
Step-by-step explanation:
Diego has purchased a $159,000 home with a 30-year mortgage at 5.05%. He
can make a monthly payment of $1300. If he were to make this payment each
month, how long will it take him to pay off his mortgage?
Answer:122.3 days
Step-by-step explanation:
1300÷159,000= 122.3
Which of the following are characteristics of the graph of the linear parent
function?
Check all that apply.
A. It is a straight line.
B. It is in quadrants II and IV.
C. It has a slope of 1.
D. It goes through the origin.
Answer: A,C, and D
Step-by-step explanation:
It is a straight line, it has a slope of 1 and it goes through the origin are the characteristics of the graph of the linear parent function
What is a function?A relation is a function if it has only One y-value for each x-value.
The linear parent function is the simplest form of a linear equation, which is y = x.
This equation has a slope of 1 and passes through the origin (0, 0).
The graph of y = x is a straight line that passes through the origin and extends infinitely in both directions.
Therefore, options A, C, and D are characteristics of the graph of the linear parent function.
Option B is not a characteristic of the linear parent function because it is not restricted to any specific quadrant; it passes through all four quadrants.
Hence, it is a straight line, it has a slope of 1 and it goes through the origin are the characteristics of the graph of the linear parent function
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Anjeli writes the equation (a+b)2=c2+4(12ab) to begin a proof of the Pythagorean theorem. Use the drop-down menus to explain why this is a true equation.
Answer:
Step-by-step explanation:
[tex]c^{2} = a^{2} + b^{2}[/tex]
Red area = [tex]c^{2}[/tex]
One blue triangle = ( a * b * [tex]\frac{1}{2}[/tex] )
Blue area = 4 * ( a * b * [tex]\frac{1}{2}[/tex] )
Totally area = [tex](a+b)^{2}[/tex]
Red area + blue area = totally area
[tex]c^{2}[/tex] + 4 * ( a * b * [tex]\frac{1}{2}[/tex] ) = [tex](a+b)^{2}[/tex]
Answer:
(a+b)^2 and c^2+4(1/2ab)
Step-by-step explanation:
hope that helps!!
The price of a pizza with three
toppings is $12.99. Extra toppings
cost $0.60 each. Frank's bill is
$15.39. Select all equations that can
be used to determine the number of
extra toppings on Frank's pizza.
Answer:
yeah she is correct
Step-by-step explanation:
The Height of the pyramid in the diagram is three times the radius of the cone.The base area of the pyramid is the same as the base area of the cone.What is the expression for the volume of the pyramid in terms of the radius r of the cone?
Answer:
A
Step-by-step explanation:
Answer: A
Step-by-step explanation:
Write the slope intercept form Through:(5,-3) and (0,0)
Answer:
y= [tex]-\frac{3}{5} x[/tex]
which expression is equivelent to (h^2+9h-1) (-4h+3) ? F. -4h^3-33h^2+31h-3 G. 4h^3 +39h^2 -23h-3 H. -4h^3-39h^2+23h+3 J.4h^3+33h^2-31h+3 please explain step by step
Answer:
F
Step-by-step explanation:
[tex](H^{2} + 9H - 1 ) . ( -4H + 3 )\\- 4H^{3} + 3H^{2} - 36H^{2} + 27H + 4H - 3 \\- 4H^{3} - 33H^{2} + 31H - 3[/tex]
Answer:
F
Step-by-step explanation:
(h² + 9h - 1)(-4h + 3)=(h² + 9h - 1)*-4h + [(h² + 9h - 1)*3]
= h²*(-4h) + 9h*(-4h) - 1*(-4h) + h²*3 + 9h*3 - 1*3
= -4h³ - 36h² + 4h + 3h² + 27h - 3 {add/subtract the like terms}
= -4h³ - 33h² + 31h - 3
