If x = 15 units and h = 12 units, then what is the area of the rhombus pictured above?
A.
225 square units
B.
45 square units
C.
180 square units
D.
60 square units
Answers
The rhombus has an area value of 180 square units
How to calculate the area of the rhombus?From the question, the given parameters arr
Shape = Rhombus'
Base = x
Height = h
Also, from the question, we have
x = 15
h = 12
The above parameters mean that
Base = 15
Height = 12
The area of the rhombus is then calculated using the following area formula
Area = Base * Height
Substitute the known values in the above equation
This gives
Area = 15 x 12
Evaluate
So, we have the following equation
Area = 180
Hence, the area is 180 square units
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The area of the rhombus is 180 square units, which is the correct answer would be an option(C).
What is the area of the rhombus?The area of the rhombus is calculated as the product of its height and base.
The formula of the area of the rhombus is following
Area of the rhombus = Height × Base
The given rhombus has :
Height (h) = 12 units
Base (x) = 15 units
Area of the rhombus = Height × Base
Area of the rhombus = h × x
Substitute the values of x = 15 and h = 12 in the above equation
Area of the rhombus = 15 × 12
Area of the rhombus = 180 square units
Hence, the area of the rhombus is 180 square units
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Related Questions
Find the nth term of this quadratic sequence
2, 8, 18, 32, 50,
Answers
Step-by-step explanation:
+6,+10,+14,+18
+4+4+4
therefore quadratic 4/period function=2
[tex]y = 2{x}^{2} + bx + c[/tex]
y=2 x=1
[tex] 0 = b + c[/tex]
y=8 x=2
8=8+2b+c
0=2b+c
y=18 x=3
0=3b+c
therefore
the equation is 2x^2=y
1.8.7 Check Your Understanding
Amala is copying XY.
After drawing an arc with the compass from the first point of the construction, the next step is [DROP DOWN 1].
Drop Down 1
Y
pick a point on the arc that will be the second endpoint of the new segment
Select a Value
adjust the compass width to equal the length of XY
use a straightedge to draw a line segment from the new points
pick a point on the arc that will be the second endpoint of the new segment
Answers
The next step after drawing an arc with the compass from the first point of the construction will be, to pick a point on the arc that will be the second endpoint of the new segment. (a)
To copy a line we have to follow a few steps of the procedure.
The steps are;
Adjust the compass width to equal the length of XY.Draw an arc with the compass from the first point of the construction.Pick a point on the arc that will be the second endpoint of the new segment. Use a straightedge to draw a line segment from the new points.The newly constructed line is exactly equal to the given line.To know more about the construction of copied structure visit,
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Lin knows that angle A is congruent to angle D. She claims that triangles ABC and DEF
must be similar. Convince Lin that the triangles are not similar.
Answers
E.g. ∠A and ∠D both equal 90°, but ∠B and ∠C = 45°. While, ∠E = 30° and ∠F = 60°.
How to solve the blank
Answers
Answer:
blank = - 3
Step-by-step explanation:
let x represent the blanks , then
[tex]\frac{2}{3}[/tex] ([tex]\frac{9}{5}[/tex] + x) = [tex]\frac{2}{5}[/tex] x + [tex]\frac{2}{5}[/tex]
multiply through by 15 ( the LCM of 3 and 5 ) to clear the fractions
10([tex]\frac{9}{5}[/tex] + x) = 6x + 6 ← distribute parenthesis on left side
[tex]\frac{90}{5}[/tex] + 10x = 6x + 6
18 + 10x = 6x + 6 ( subtract 6x from both sides )
18 + 4x = 6 ( subtract 18 from both sides )
4x = - 12 ( divide both sides by 4 )
x = - 3
d) Work out 7½ ÷ 3 ²/3
Give your answer as a mixed number.
Answers
The answer is given above
a restaurant offers 4 appetizers, 8 salads, 9 entrees and 7 desserts. in how many ways can a customer select a meal, if a meal consists of an appetizer, a salad, an entree and a dessert? a) 28 b) 491,400 c) 20,475 d) 112 e) 2,016 f) none of the above.
Answers
The customer can select the meal in 2016 ways.
There are four different methods to choose an appetizer, eight different ways to choose a salad, nine different ways to choose an entree, and seven different ways to choose a dessert. Customers can choose a meal in the range of 4*8*7*9 if, according to the multiplication rule, a meal includes an appetizer, a salad, an entree, and a dessert.
x = 4 * 8 * 7 * 9 = 2016 ways.
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In a game
of ice hockey, the hockey puck took 0.6 second to travel 66 feet to the goal line. Determine the
the average speed of the puck in feet per second.
Answers
Answer:
The average speed of the puck is 110 ft per second.
Step-by-step explanation:
Using the d = st formula to find distance when given the speed and time, you can rewrite it to be s = d/t.
When you substitute the values in, you get s = 66/0.6, which is 110.
Hope this helps.
P.S. Mark as brainliest!
Convert degrees to radians:144° = __ πEnter your answer as a decimal to the tenths place
Answers
Answer:
To convert the degrees to radians
[tex]144^{\circ}[/tex]we know that,
Radian is equivalent to the angle subtended at the centre of a circle by an arc equal in length to the radius.
we get that,
[tex]1\text{ radian}=\frac{180^{\circ}}{\pi}\text{ degrees}[/tex]That is,
[tex]1\text{ degree}=\frac{\pi^{}}{180^{\circ}}\text{ radians}[/tex]we get that,
[tex]144^{\circ}=144^{\circ}\times\frac{\pi}{180^{\circ}}\text{ radians}[/tex][tex]=\frac{4}{5}\pi\text{ radians}[/tex][tex]=0.8\pi\text{ radians}[/tex]Answer is: 0.8
Bette used 3 jumbo cans of frosting to frost 105
cupcakes for the cupcake challenge at her school and 5 jumbo cans of frosting to frost an
additional 175 cupcakes. How many jumbo cans of frosting would she need to frost 280
cupcakes?
Answers
The jumbo cans of frosting would she need to frost 280 cupcakes is 8 cans.
What is addition?Addition simply means the sum of the numbers that are given.
In this case, Bette used 3 jumbo cans of frosting to frost 105 cupcakes for the cupcake challenge at her school and 5 jumbo cans of frosting to frost an additional 175 cupcakes. This implies that the total cupcakes will be:
= 105 + 175 = 280
In this case, the cans used will be the addition of the cans above. This will be:
= 3 + 5
= 8 cans
This shows the concept of addition.
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what is 6000 divided by 40
Answers
Answer:
150
Explanation:
Alright so basically, 150 x 40 = 6000, right? So you want to find out how to find it using the division process. It is a whole number with no fractional part. As division with remainder the result of 6000 ÷ 40 = 150 R 0.
6000 divided by 40 ⇒ 150.
Here given that,
6000 is divisible by 40
since we know that,
Division is a process of repeated subtraction. It is the inverse action of multiplication. It is characterised as the formation of equal groupings. When we divide numbers, we split them down into smaller amounts so that the multiplication of those smaller numbers equals the larger number taken.
6000 is divisible by 40 we get,
⇒ 6000/40
⇒ 150
So, the quotient is 150
Hence,
After dividing 6000 by 40 we get 150.
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please I need help with algebra 2!
photo for questions
8 and 9!
Answers
Answer:
I need more information to solve this.
Step-by-step explanation:
17. Scarlet made a dive off a 10-ft platform. Her height above the surface of the pool t
seconds after leaving the platform can be modeled in the graph shown. Which of these
statements is NOT true about Scarlet's dive?
A. After 1 second, her height is 42 meters.
B. She reaches her maximum height at 1.5
C. Her maximum height is 46 meters.
D. She hits the water at 3 seconds.
O A
OB
O C
OD
40
30
20
10
1
2
3
Answers
Given the attached graph, the statement that is NOT true about scarlet's dive is that "She hits the water at 3 seconds." (Option D) See the explanation below.
What is a graph?In mathematics, a graph is defined as a graphical representation or diagram that organizes facts or values. The graph's points frequently reflect the relationship between two or more objects.
In this scenario, the relationship represented is between Scarlet's descent from a 10-foot platform and the time it takes her to complete the trajectory from point of dive to point of reaching the water.
Hence, it is clear from the graph attached that Scarlet hits the water at 3.25 seconds.
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a number divided by 3 decreased by 7 is less than 4 times the number increased by 5
Answers
If we solve for the value of x we find that x is any value which is greater than -36/11.
What are inequalities ?
When two values are compared , an inequality represents whether one is greater than, less than, or not equal to the other.
It is given in question that a required number divided by 3 decreased by 7 is less than 4 times the number increased by 5.
Let's assume the number be x.
So , x divided by 3 is x / 3 and if we subtract it by 7 , we get :
x/ 3 - 7
Also , this value is less than 4 times the number added with 5.
i.e.,
4x + 5
So , the inequality can be written as :
[tex]\frac{x}{3}[/tex] - 7 < 4x + 5
or
x - 21 < 12x + 15
-36 < 11x
or
-36 /11 < x
or
x > -36/11
or
x is greater than -36/11.
Therefore , if we solve for the value of x we find that x is any value which is greater than -36/11.
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y=2 and x=-10 what is the value of k the constant
Answers
Answer:
- 164/4+50y/3+ify=0
Step-by-step explanation:
hope it helps
Pls tell me the answer thank you
Answers
Answer:
Third option
Step-by-step explanation:
The intercept x-intercept of f¹(x) is 1 and y-intercept of f(x) is also 1.
Solve y3 = −125.
answers are
y = −5
y = ±5
y = −25
y = ±25
Answers
Y= -5
Then, find an equivalent ratio where the number of skateboards is 50.
Answers
The equivalent ratio of longboard 3 : 10
What is Ratio ?
A ratio displays the multiplicity of two numbers. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. Similarly, the ratio of oranges to the overall amount of fruit is 8:14, while the ratio of lemons to oranges is 6:8.
Given:
Long-boards A 30
Skateboards 50 100
Find:
An equivalent ratio where the number of skateboards is 50.
Now,
⇒ Equivalent ratio = Long-boards / Skateboards
⇒ Equivalent ratio = 30 / 100
⇒ Equivalent ratio = 3 / 10
Now, Equivalent value of Long-boards = Equivalent ratio × Number of skateboards
Equivalent value of Long-boards = [3 / 10] × 50
Equivalent value of Long-boards = 15
Then the ratio will be :
15 / 50 = 3 / 10
or, 3:10
Hence, equivalent ratio where the number of skateboards is 50. will be 3:10
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12:36=21 :
Fill in the blank I don't understand it ?
Answers
Answer:
63
Step-by-step explanation:
12:36
36/12=3
21(3)=63
Marie’s age is 12 less than triple Carl's’s age. When you add Marie's age to Carl’s age, you get 68. How old is Marie and how old is Carl? Show work.
A.) Use x to represent Carl's age. If x is Carl's age, write an expression for Marie's age using Carl's age x.
B.) Write an equation for the situation.
C.) Solve the equation from part a. Show your work. What is Marie's age and Carl's age.
30 Points for answering!
Answers
Tyler has 500 counters in a bag.
He gives
15 of the counters to Sam
52 of the counters to Peter
43 of the counters to Lakhdar
What fraction of the 500 counters is left in Tyler's bag?
Give your fraction in its simplest form.
Answers
Step by step
He gave away 15 + 52 + 43 = 110
500 - 110 = 390 left in the bag out of 500
390/500 left in the bag
Simplified to
= 39/50 left in the bag
The table below shows the gender and type of movies they prefer to watch.MaleFemale829418464891Horror MoviesSuspense MoviesComedy MoviesWhat is the approximate probability that a person will be a female and prefer suspense movies?
Answers
First, we must find the total of females, it will be
[tex]T=94+46+91[/tex]Now we must look at the table how many females prefer suspense movies, it's
[tex]S=46[/tex]Now we do the quotient between the females that prefer suspense by the total of females:
[tex]\begin{gathered} P=\frac{46}{94+46+91} \\ \\ P=\frac{46}{231} \\ \\ P=0.199134199 \end{gathered}[/tex]Rounding it, we can say that approximately,
[tex]P\approx0.2[/tex]Or 20% of the females prefer suspense movies
I NEED HELP WITH THIS QUESTION
Answers
Answer:
KML and LMK
Step-by-step explanation:
Will give brainlest:)
Answers
Answer:
1/9
Step-by-step explanation:
-1/9 + 2/9
Since the denominator is the same, we can add the numerators
(-1+2)/9 = 1/9
The graph of a certain quadratic function has no x-intercepts. Which of the following are possible values for the discriminant? Check all that apply.
A.-4
B.25
C.-18
D.0
Answers
In the quadratic function, the discriminants with no x-intercepts are (A) -4 and (C) -18.
What is a quadratic function?f(x) = ax² + bx + c, where a, b, and c are numbers and an is not equal to zero, is a quadratic function. A parabola is the shape of a quadratic function's graph. Although the "width" or "steepness" of a parabola can vary as well as its direction of opening, they all share the same fundamental "U" shape.So, there are no x-intercepts on the graph of a particular quadratic function.
As is common knowledge, if a graph lacks an x-intercept, it will either end above or below the x-axis.This quadratic function has imaginary zeros.Discriminant= D
y = ax² + bx + cD = b² - 4acFor imaginary zeros, D must be negative.
The given option (A) and (C) which are -4 and -18 are negative and hence are the Discriminant with no x-intercepts.
Therefore, in the quadratic function, the discriminants with no x-intercepts are (A) -4 and (C) -18.
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PLEASE HELP FAST PLEASE
Given:BC=AD and BC||AD Prove: BEC=DEA
Answers
Answer: ad bc is the answer
Step-by-step explanation:
Set up a system of equations and solve using substitution or elimination. You must show all work You have 258 coins in a jar. They are a combination of dimes and quarters. If the money in the jar equals $36.75, how many of each type of coin is there?
Answers
Answer:
185 dimes and 73 quarters
Step-by-step explanation:
q + d = 258
25(q) + 10(d) = 3675
The blueprint for the moreno’s living room has a scale of 2 inches= 5 feet. The family wants to use a scale of 1 inch= 3 feet. What is the width of the living room on the new blueprint
Please help me it’s due at 11:59pm!!!
Answers
The width of the living room on the new blueprint is 15 feet.
How to calculate the width?Based on the information, the scale of the original blueprint will be:
= 2 in / 5 ft
The width of the original blueprint is 6 inches, the actual width of the living room will be:
2/5 = 6/x
where x = width of living room
Cross multiply
x = 5 × 6 / 2
x = 15 feet.
The width is 15 feet.
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A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.
y
=
−
16
x
2
+
170
x
+
61
Answers
Answer:
10.97 seconds
Step-by-step explanation:
You want to know when a rocket will hit the ground if its height is given by y = -16x² +170x +61, where x is seconds after launch.
Quadratic FormulaThe formula for the solutions of a quadratic equation is ...
[tex]\text{for }ax^2+bx+c=0\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
When we apply this to the equation y=0, we have ...
[tex]x=\dfrac{-170\pm\sqrt{170^2-4(-16)(61)}}{2(-16)}=\dfrac{170\pm\sqrt{32804}}{32}\\\\x\approx 10.97\quad\text{seconds}[/tex]
The rocket will hit the ground after about 10.97 seconds.
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Hamza is graphing the parabola represented by this equation. 3x-6y^2+6y=0
The answer is below!!!
Answers
Hamza should draw the vertex at (-0.5, 0.5), the directrix at -0.625, and the focus at (-0.375, 0.5). The parabola will open to the right
The given equation is 3x-6y²+6y=0.
What is the parabola?An equation of a curve that has a point on it that is equally spaced from a fixed point and a fixed line is referred to as a parabola. The parabola's fixed line and fixed point are together referred to as the directrix and focus, respectively.
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Right
Vertex: (-1/2, 1/2)
Focus: (-3/8, 1/2)
Axis of symmetry: y=1/2
Directrix: x=-5/8
The coordinate points to plot (-1/2, 1/2), (0.5, 1.21), (0.5, -1.21), (1.5, 1.5) and (1.5, -0.5).
Therefore, Hamza should draw the vertex at (-0.5, 0.5), the directrix at -0.625, and the focus at (-0.375, 0.5). The parabola will open to the right.
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If p and q vary inversely and p is 5 when q is 4, determine q when p is equal to 10.
Answers
If p and q vary inversely and p is 5 when q is 4, the value of q when p is equal to 10 is 2.
What is an inverse variation?An inverse variation can be defined as a type of proportionality which shows the relationship that exist between two (2) distinct variables, wherein, as the value of one variable increases, the value of the other variable decreases and vice-versa.
Mathematically, an inverse variation can be modeled or represented by this expression:
p ∝ 1/q
p = k/q
Where:
p and q are the variables.k represents the constant of proportionality.
Next, we would determine the constant of proportionality (k) by substituting the value of the given variable as follows:
k = pq
k = 5(4)
k = 20
Now, we can determine the value of q:
q = k/p
q = 20/10
q = 2.
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