What is the area of the rhombus shown below? A. 110.5 square units B. 129.2 square units C. 221 square units D. 15 square units
the answer is A. 110.5
The area of the rhombus is 110.5 square units if the lengths of the diagonal of a rhombus are 13 and 17 units option (A) 110.5 square units is correct.
What is a rhombus?A rhombus is a two-dimensional shape having four parallel opposite pairs of straight, equal sides. This shape resembles a diamond and is what you'd find on a deck of cards to represent the diamond suit. Rhombuses can be encountered in a variety of common situations.
We have a rhombus shown in the picture with dimensions:
As we know,
The area of the rhombus is given by:
A =pq/2
p and q are the lengths of the diagonal of a rhombus.
p = MK = 13 units
q = JL = 17 units
Plug the values in the formula:
A = (13×17)/2
A = 221/2
A = 110.5 square units
Thus, the area of the rhombus is 110.5 square units if the lengths of the diagonal of a rhombus are 13 and 17 units option (A) 110.5 square units is correct.
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6.
Valdez Construction signed a note with a payment of $5,200 per quarter for 5 years.
Find the amount they must set aside today to satisfy this capital requirement in an account earning 8% compounded quarterly.
$30,506.32
$126,346.32
$51,054.38
$85,027.44
Find the lengths of the sides of the right triangle?
what is 12.81 repeated rounded to the nearest hundredth
An eagle can fly at a speed of 50 mph and a starling can fly at 78 mph. How far will the starling fly in the time it takes the eagle to fly 125 miles?
PLZ HELP ASAP!!!!!!
20 POINTS!
Answer:
195 miles
Step-by-step explanation:
50*x=125
x=2.5
2.5*78=195miles
At 0°C, the volume of a gas is 22 liters. For each degree the temperature T (in degrees Celsius) increases, the volume V (in liters) of the gas increases by 225. Write an equation that represents the volume of the gas in terms of the temperature.
Answer:
V=2/25T+22
Step-by-step explanation:
Henry cut a piece of yarn that was 11/6 into two pieces. List to different pairs of fractions that could show the lengths , in feet , of the two pieces.
3. Jared has two ropes. Each rope is 9 inches long. How many inches of rope does he have in all?
The length of one rope = 9 in
Number of ropes Jared have = 2.
The total inches of rope does Jared have will be calculated as under -
We can add the length of two ropes as = 9 in + 9 in = 18 in
Or we can do it by other method as well.
The other method is by multiplying -
The total inches of rope does Jared have = The length of one rope × Number of ropes Jared have
The total inches of rope does Jared have = 9 in × 2 ropes = 18 in
You earn $56 for washing 8 cars. How much do you earn for washing 5 cars?
Given that tan^2 e= 3/8 what is the value of sec e? A. +√8/3 B.+ √11/8 C. 11/8 D. 8/3
ANSWER
[tex]{ \sec}(e) = \pm \: \sqrt{\frac{11}{8} } [/tex]
EXPLANATION
We use the Pythagorean Identity,
[tex] { \sec}^{2} (e) = 1 + { \tan}^{2} (e)[/tex]
It was given that,
[tex] { \tan}^{2} (e) = \frac{3}{8} [/tex]
We substitute the values into the identity to obtain,
[tex] { \sec}^{2} (e) = 1 + \frac{3}{8} [/tex]
[tex]{ \sec}^{2} (e) = \frac{11}{8} [/tex]
We take square root of both sides to get,
[tex]{ \sec}(e) = \pm \: \sqrt{\frac{11}{8} } [/tex]
Answer:
sec e = √(11/8) ⇒ answer B
Step-by-step explanation:
* Lets revise some identities in trigonometry
# sin²x + cos²x = 1
- Divide both sides by cos²x
∴ sin²x/cos²x + cos²x/cos²x = 1/cos²x
∵ sinx/cosx = tanx
∴ sin²x/cos²x = tan²x
∵ cos²x/cos²x = 1
∵ 1/cosx = secx
∴ 1/cos²x = sec²x
* Now lets write the new identity
# tan²x + 1 = sec²x
- Let x = e
∴ tan²e + 1 = sec²e
- Substitute the value of tan²e in the identity
∵ tan²e = 3/8
∴ 3/8 + 1 = sec²e
- Change the 1 to the fraction 8/8
∴ 3/8 + 8/8 = sec²e ⇒ add the fractions
∴ 11/8 = sec²e
- Take square root for the two sides to find sec e
∴ sec e = √(11/8)
∴ The answer is B
what is a verbal expression?
A mathematical verbal expression is a translation into words of an algebraic expression that can consist of different operations, numbers and varibles ur welcome.
For example, the following is a verbal phrase: "John went to the store and bought five apples. Each apple cost $1.25. How much did John spend before tax?" To translate it to a verbal model, the problem solver represents the problem in simplified words that represent the cost of the apple times the number of apples bought. To translate it further to a mathematical phrase, the problem solver puts numbers in the problem: "$1.25 times 5."
Julia had 2/3 quart of cleaning liquid. She used 1/4 of it to clean the sink. How much cleaning liquid did Julia use?
She had 2/3 quart. She used 1/4 of it.
That means you have to find 1/4 of 2/3
1/4 × 2/3 = 2/12
2/12 simplified = 1/6
Your answer is 1/6
Hope this helped!
What form of a quadratic function would be graphed having the vertex at the same point as the y-intercept
9514 1404 393
Answer:
a form with no horizontal translation of the parent function
Step-by-step explanation:
If the vertex is the y-intercept, then it has not moved horizontally from its position in the parent function. The form of the quadratic is one without any horizontal translation.
A quadratic function with its vertex and y-intercept at the same point would be in the form f(x) = ax². The coefficients b and c must be zero for the vertex to be at the origin (0,0), and by varying a, we can achieve a vertical stretch or shrink without altering the y-intercept.
The student's question pertains to the graph of a quadratic function with specific conditions on its vertex. If a quadratic function has its vertex at the same point as its y-intercept, then the vertex is located at the origin (0,0), because the y-intercept is the point where the graph crosses the y-axis, and at the vertex, the value of y is at its maximum or minimum depending on the direction of the parabola.
The standard form of a quadratic function is f(x) = ax² + bx + c. For the function to have its vertex at the origin, both b and c would need to be zero, making the function f(x) = ax². This represents a parabola that opens upwards if a is positive, or downwards if a is negative.
To maintain the y-intercept, we must ensure that the transformation applied to the graph, such as a vertical or horizontal shrink, does not alter the location of the vertex. A horizontal shrink is achieved by making a larger absolute value while ensuring that it remains positive or negative in accordance with the original direction of the parabola.
will give braniliest....... Mom put plums and apples onto a plate. The ratio of the number of plums to the number of apples was 3:2. How many fruit did mom put on the plate, if after Ed took 6 there number of plums on the plate became the same as the number of apples?
A patient is given a 50 mg dose of medicine the medicines effectiveness decreases every hour at a constant rate of 40% what is the exponential decay function that models this scenario how much medicine will be left in the patient's system after two hours
Answer:
[tex]A=50(0.6)^x[/tex]
18 mg of medicine will be left in the patient's system after two hours.
Step-by-step explanation:
Given,
The initial quantity of the medicine, P = 50 mg,
Also, it decreases every hour at a constant rate of 40%
That is, r = 40 %,
Thus, the quantity of the medicine after x hours,
[tex]A=P(1-\frac{r}{100})^r[/tex]
[tex]=50(1-\frac{40}{100})^x[/tex]
[tex]=50(1-0.4)^x[/tex]
[tex]=50(0.6)^x[/tex]
Which is the required exponential decay function that models this scenario.
The quantity of the medicine after 2 hours,
[tex]A=50(0.6)^2=18\text{ mg}[/tex]
hey can you please help me posted picture of question
A jacket has a regular price of $80. It is on sale for 10% off. The sales tax is 7%. What is the total cost of the jacket including tax?
Answer:
77.04
Step-by-step explanation:
Make up an equation of the form y = kx +b, the graph of which passes through the following points: C (–19, 31) and D (1, –9)
Logarithmic Functions Question, Many Points
I got the first part of this question correct, I believe.
I was supposed to find the graph with a base of 3 (attached), but now I need to justify my answers, which I don't understand. Here are the choices:
The graph of f(x)= log_3 x+c must intersect with the line y= c+1 when x= 3.
The graph of f(x)= log_3 x+c must intersect with the line y= c when x= 3.
The graph of f(x)= log_3 x+c must intersect with the line x= c when y= 3.
The graph of f(x)= log_3 x+c must intersect with the line x= c+1 when y= 3.
Which pair of triangles can be proven congruent by using the HL theorem?
Two friends bring hamburger meat to your cookout. One brings 2.7 pounds, and the other brings 3.54 pounds. How much hamburger meat do they bring?
Greg has 8/9 of a small box of cereal. He also has 5/6 of a pint of milk . He needs to pour 2/3 of each into a bowl.
simplify 3.2-5.1n-3n+5
estimate the difference between 9,030 and 738
Which description best describes the three-dimensional object that is formed when the segment is rotated about the axis as shown?
an oblique cylinder
a cone with an open base
a triangular prism
a hollow pyramid
Second option is correct. A cone with open base is formed when the segment is rotated about the axis as shown in figure.
What is solid revolution?A solid revolution is a three dimensional figure obtained by rotating a two-dimensional figure or (curve) around a straight line(called the axis) that lies in the same plane.
According to the question
If we see in the given figure, there is a triangle about a vertical line. As the triangle is revolved about a line, the vertices A and C remain stationary. While the vertex B which follows the path of circle. As the triangle rotates, AB creates the outline of cone.
Hence, Option second is correct i.e. a cone with an open base.
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Answer: A cone with an open base.
Step-by-step explanation:
The correct answer is a cone with an open base. When this segment is rotated around the axis as shown, the three-dimensional object formed will be a cone with no base. If you imagine mirroring the segment shown, you will create a triangle with no base. Next, if you imagine spinning this triangle around, you will be left with a cone. Since the segment does not connect to the axis at the bottom, the resulting cone will have an open base.
A visual example of a cone is attached below.
which expression is in simplified form for the given expression and states the correct variable restriction u+3/u^2-9
Suppose you want to transform the graph of the function y=tan(x+pi/4)-1 into the graph of the function y=-tan(x+pi/2)+1
Answer:
A) Reflect the graph of the first function across the x-axis, translate it pi/4 units to the left, and translate it 2 units up
after lily's graduation party, 1/2 of of the cake was left. she shared the remaining cake equally with her sister Kayla and her brother Logan. what fraction of the original cake did each of them get?
show all your work please
Find an equation of the line passing through the pair of points. Write the equation in the form Ax+ By=C. (3,2) and (5,8)
Someone please help I only have enough points for one use.