Given the diagonal and altitude of a rectangle, we can use the Pythagorean theorem to find the base. From there, multiply the base and altitude to find the area of the rectangle. In this case, the area is 1200 cm².
Explanation:The question is asking to calculate the area of a rectangle given the altitude (height) and the diagonal. We have two parameters, the altitude which is 30 cm and the diagonal which is 50 cm. From this, we can infer that the rectangle forms a right triangle with the altitude and the base being the two perpendicular sides and the diagonal being the hypotenuse. In this case, we can apply the Pythagorean theorem: base² = diagonal² - altitude².
Absolving, we find the value of the base of the rectangle: base = sqrt(50² - 30²) = 40 cm. The area of the rectangle can be calculated using the formula: Area = base x altitude = 40 cm * 30 cm = 1200 cm². Therefore, the area of the rectangle is 1200 cm².
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simplify this rational
Answer:
n+5
Step-by-step explanation:
(n+5)(n+1)/(n+1)
cancel n+1 from top and bottom
Jamie is making a beaded necklace the ratio of blue beads to purple beads is 4:3 if jamie uses 56 blue beads and purple beads to finish her necklace how many of them will be purple
Answer: 24 beads
Step-by-step explanation:
Jamie is making a beaded necklace having the ratio of blue beads to purple beads as 4:3 and the total beads used by Jamie is 56. This information can be written as:
Ratio of blue heads= 4
Ratio of purple beads= 3
Total ratio of beads= 4+3 = 7
Total beads used = 56 beads
The number of purple beads used will be= 3/7 × 56
= 3 × 8
= 24 beads
The number of purple beads used is 24
If z = 12.8, what is the value of 2(z - 4)? [Type your answer as a number.]
Answer:
17.6. Its correct
Step-by-step explanation:
a woman wants to build a rectangular Garden she plans to use a side of the shed for one of the sides of the garden. she has 96 yards of fencing material. What is the maximum area that will be enclosed
the salomans offered to be in charge if drinks for the party. In addition to other beverages, they brought 4 bags of coffee that each held 2 1/2 pounds. When brewed, 1/4 pound coffee made 8 cups of coffee. the salomans brewed and served 296 cups of coffee. was any coffee left over? if so, how much coffee was left? show your work
Which of the following rules could represent the function shown in the table?
x y
-1 -1
0 1
1 3
A) f(x) = -2x
B) f(x) = 2x - 1
C) f(x) = 2x + 1
what is the measure of the angles
Susan gets paid x dollars per hour. After 40 hours she gets paid time and a half (1.5 times her normal hourly pay). Last month she worked 52 hours each week and earned $696 each week. How much does Susan get paid per hour?
Analyze the solution set of the following system by following the given steps.
2x + y = 5 3y = 9 − 6x
Write each equation in slope-intercept form.
y = x +
y = x +
Equations in the slope-intercept form are
y= - 2x+5,
y= - 2x +3
if y -18 =14 what is the value of 3(Y + 5)
Answer:
y-18=14
add 18 on both sides
y=32
plug that into the equation below
3(Y+5)
3(32+5)
add 32 and 5
3(37)
multiply
3
3 \times 37 = 1113×37=111
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the stem and leaf plot represents a set of data what is the largest number in the set?
To find the largest number in a stem-and-leaf plot, identify the row with the highest stem and the largest leaf in that row.
The largest number in a set represented by a stem-and-leaf plot can be determined by locating the highest stem value and the largest leaf value attached to it. In a scenario where the stem represents units of 100,000 and the leaf represents units of 10,000, as with the example regarding U.S. cities' populations, you would look for the row with the highest stem number and the highest leaf number within that row to find the largest value. For instance, with a stem of 4 and a leaf of 9, one would interpret the largest number as 490,000.
When constructing a stemplot, each data point's stem is written in a vertical column with the leaves arranged to the right. Negative numbers are handled with negative stems, and the leaves are rounded to represent two significant digits. This method creates a clear visual of data distribution, showing values, potential outliers, and general trends.
What is the slope of the line that is parallel to the line shown?
A) 3/2
B) 1/3
C) -1/3
D) -3
In this Punnett square, what is the ratio of homozygous to heterozygous offspring? In the Punnett square, what percentage of the offspring are homozygous recessive?
A person operating a riding lawnmower can mow 1/4 of a hectare in 20 minutes. How many hectares per hour can she mow?
help me? answers por favor ?
Eva spent $48 on a shirt and a pair of pants. The pant cost twice as much as the shirt. How much did each item cost?
How can a lack of understanding of the measures of central tendency and variability affect business decisions
Answer:The measure of central tendency give you a picture of what to expect in a situation. My example: a basketball players "average" is the number of points that they usually score. In a business you make decisions on what you expect to happen. If you know the measure of center it can help you make better decisions.
I got 100 on this
If BE = 2x-3 and AC=3x+1 Find Ac
A translation is applied to the triangle formed by the points A(−1, 4) , B(−1, 10) , and C(3, 6) . The image is the triangle that has vertices A′(3, 4) , B′(3, 10) , and C′(7, 6) . Select the phrase from the drop-down menu to correctly describe the translation. The triangle was translated .
A population of bacteria is growing according to the exponential model P = Cekt, where P is the number of colonies and t is measured in hours. If there are 800 colonies present after 4 hours, and the population's growth rate k = 0.65, how many colonies were present initially? [Round answer to the nearest hundredth.]
Last month, Luke spent $1,300 on his mortgage (home loan payment), $320 for food, $280 on entertainment, $275 for his car payment, $60 on car insurance, and $75 on clothing. What was the difference for the month between his fixed expenses and variable expenses? A) $1035 B) $1240 C) $960 D) $900
I have no congruent sides. One of my angles has a measure of 100 degrees.
A rectangular table is twice as long as it is wide. If it was 3 meters shorter and 3 meters wider it would be a square. What size is the table?
What is 1/2 + 3/4???
Randall bought a notebook for $8 and 6 highlighters. He spent a total of $20.how much did each highlighter cost
A bowl contains 24 marbles consisting of 6 white marbles, 8 blue marbles, 7 black marbles, 3 red marbles. What is the probability of drawing a red marble?
A. 6/24
B.5/25
C.1/8
D.7/8
The probability of drawing a red marble is 1/8.
The correct option is C.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
We have,
Total marbles = 24
White marble = 6
Blue marble = 8
Black marble = 7
Red marble = 3
So, the probability of drawing a red marble
= 3 / 24
= 1/8
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a) Suppose you are able to download 1 free song to your tablet daily and each additional download costs $0.59. If your monthly bill is $15.34, how many songs did you download if you downloaded 28 free songs? Write an equation and solve for the unknown variable.
Answer:Let x be the number of songs downloaded.
x = 28 + (15.34/0.59)
x = 28 + (26)
x = 54
You have 54 songs downloaded on your tablet.
Step-by-step explanation:
Fond the value of x and the unknown angle in each problem
an open rectangular cardboard box with a square base is to have a volume of 256cm^3. Find the dimensions of the box if the area of cardboard used is as small as possible
To find the dimensions of the box with the smallest area of cardboard used, we can minimize the surface area of the box using calculus. The volume of the box is given as 256 cm³.
Explanation:To find the dimensions of the box with the smallest area of cardboard used, we need to minimize the surface area of the box. Let's assume that the length, width, and height of the box are L, W, and H, respectively.
The volume of the box is given by V = L * W * H = 256 cm³. Since the box has a square base, we have L = W.
The surface area of the box is given by SA = 2LW + 2LH + 2WH = 2(LW + LH + WH). Substituting L = W into the equation, we have SA = 6L² + 2LH.
To minimize the surface area, we can take the derivative of SA with respect to L and set it equal to zero. Solving this equation will give us the value of L that minimizes the surface area. Once we have the value of L, we can find the corresponding values of W and H using the equation V = L * W * H = 256 cm³.
Using this method, we can determine the dimensions of the box that will result in the smallest amount of cardboard used.
PLEASE HELP ME!!!
Three cube-shaped boxes are stacked one above the other. The volumes of two of the boxes are 1,331 cubic meters each, and the volume of the third box is 729 cubic meters. What is the height of the stacked boxes in meters?
19
29
30
31