If angle A of a rhombus decreases, angle C must also decrease and the side length of the rhombus must remain the same for it to still be a rhombus.
Explanation:When angle A of a rhombus decreases, there are two changes that need to happen in order for the rhombus to still be a rhombus.
The opposite angle, angle C, must also decrease by the same amount in order to maintain the opposite angles of a rhombus being equal. The side length of the rhombus must remain the same, as all sides of a rhombus are congruent.
Therefore, if angle A decreases, angle C must also decrease by the same amount, and the side length of the rhombus must remain the same in order for ABCD to still be a rhombus.
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Rick and Ben had the same amount of money. Ben spent $138. In the end,Rick had 4 times as much as Ben.How much did Rick have?
a certain triangle has a 30 degree angle and a 60 degree angle. which must be a true statement about the triangle
A water tower is used to store fire fighting water at an industrial plant. The tank on top of the tower is in the shape of a cylinder with a height of 15 feet and a diameter of 7 feet. One cubic foot is approximately 7.5 gallons. how many gallons are in the tank if its 55% full?
Find the probability of rolling an even number on a fair number cube and drawing a red card from a standard deck of cards.
The probability of rolling an even number on a fair number cube and drawing a red card from a standard deck of cards is 1/4.
Explanation:The probability of rolling an even number on a fair number cube is 1/2 because there are three even numbers (2, 4, 6) out of a total of six possible outcomes (1, 2, 3, 4, 5, 6).
The probability of drawing a red card from a standard deck of cards is 26/52, or 1/2, because there are 26 red cards (13 hearts + 13 diamonds) out of a total of 52 cards in the deck.
To find the probability of both events happening, you multiply the probabilities together: (1/2) * (1/2) = 1/4.
The probability of rolling an even number on a six-sided die and drawing a red card from a standard deck of cards is 1/4. P(EM) refers to the probability of rolling a number that is both even and a multiple of three. P(E OR M) represents the probability of rolling a number that is either even or a multiple of three.
Explanation:The probability of rolling an even number on a fair six-sided die is calculated by counting the even numbers (2, 4, 6) and dividing by the total number of sides, which gives us P(E) = 3/6 = 1/2. For drawing a red card from a standard deck of 52 playing cards, half of the cards are red, so P(Red) = 26/52 = 1/2. To find the combined probability of both independent events occurring, we multiply their respective probabilities: P(Even number and Red card) = P(E) × P(Red) = (1/2) × (1/2) = 1/4.
What does P(EM) mean in words?
P(EM) represents the probability of the intersection of two events, E and M, meaning the probability that the number rolled is both even and a multiple of three.
What does P(E OR M) mean in words?
P(E OR M) signifies the probability of the union of two events, E or M, which is the chance that the number rolled is either even or a multiple of three.
Show that |3+10| =|3|+|10|
Can some one please help me ?
110% =1.10
multiply the old price by that
2.85 *1.10 = 3.135
round to 3.14
new price is $3.14
PLEASE HELP ME!!!
If the diameter of a men’s basketball is 10 inches and a women’s is 9 inches, what is the approximate difference of their volumes?
A.137.6 in.^3
B.141.9 in.^3
C.145.6 in.^3
The volume of a sphere is.
V = 4/3 * π * r(raised to the 3rd power)V1 represents when r = 5Answer:
C
Step-by-step explanation:
141.9in3
One serving of granola provides 4% of the protein you need daily. You must get the remaining 48 grams from other sources. How many grams of protein do you need daily?
46.08 grams of protine daily
Which is colder 0°F or 6°F
Darren and Latisha are decorating cupcakes for a bake sale. They need to decorate 100 cupcakes. Each of them has decorated 40% of the cupcakes. What percentage of cupcakes do they have left to decorate?
Answer:
Now they have left to decorate 20% cupcakes.
Step-by-step explanation:
Darren and Latisha are decorating cupcakes for a bake sale.
They need to decorate 100 cupcakes.
Each of them has decorated 40% of the cupcakes = 40% + 40% = 80%
Both of them has decorated 80% of the cupcakes.
80% of 100 cupcakes = 80 cupcakes
Now they have left to decorate 100 - 80 = 20
Now they have left to decorate 20% cupcakes.
whats the property in this equation 6 + 3= 3 +6
plz help you have to turn your phone to the side
What is the place value of 1 in 209.631?
A quarterback completes 65% of his passes. Out of his next 40 passes, how many can you expect to be completed.
What is the volume of four cubes with a side length of fraction 1 over 4 foot? V = s3, where s is the side length. fraction 1 over 4 ft3 fraction 1 over 3 ft3 fraction 1 over 12 ft3 fraction 1 over 16 ft3
Answer:
Option D. [tex](\frac{1}{16}) ft^{3}[/tex]
Step-by-step explanation:
Since formula to find volume of a cube is V = (side)³
and one side of the cube is [tex](\frac{1}{4})[/tex] foot
Therefore, volume of the cube will be
V = [tex](\frac{1}{4})[/tex]³
We have to calculate the volume of 4 cubes
4 × V = 4 × [tex](\frac{1}{4})[/tex]³
= [tex]\frac{4\times 1}{4^{3}}=\frac{1}{4^{2}}=(\frac{1}{16})ft^{3}[/tex]
Option D. [tex](\frac{1}{16}) ft^{3}[/tex] is the answer.
On a coordinate grid, the coordinates of vertices P and Q for Polygon PQRS are P(3, 2) and Q(−3, 2). What is the length of Side PQ of the polygon?
What is the slope of this line segment?
Bradley bought 14 yellow highlighters. each highlighter cost $0.94.how much did Bradley spend?
Can someone plz help me with this math problem.
what is 18 divided by negative 3
First right answer gets brain
How long is a distance of 8 km if measured on a map with a scale of 1:50,000
Final answer:
To find the map distance of an 8 km actual distance on a map with a scale of 1:50,000, convert 8 km to meters (8,000 m), and divide by the scale factor (50,000) to get the map distance of 16 centimeters.
Explanation:
To calculate the length of an 8 km distance on a map with a scale of 1:50,000, you can use the formula:
Actual distance (in real life) / Scale = Distance on the map. This can be rearranged to: Distance on the map = Actual distance / Scale. Therefore, 8 km / 1:50,000 conversion would be calculated as follows:
The distance of 8 km is represented as 16 centimeters on a map with a scale of 1:50,000.
Factor this trinomial with a leading coefficient of 1. The trinomial being 2x^2y-34xy+144y
a football team gain 2 yards on the first play ,losees 5 yards on the second play ,loses 3 yards on the third, and gains 4 on the the fourth play.what is the teams overall gain or loss for all four plays
A factory employs 3 full-time workers and 6 part-time workers; the amount earned by each is: $36,000 for the production supervisor; $27,000 for the machine operator; $21,000 for the general assistant; a total of $50,000 for part-time staff. How much was the wage bill for the 3 full-time staff?
The total wage for full-time workers is 84000$.
What is simplification?Simplifying a value simply means finding it in its most basic form. To simplify the problem, we use a number of approaches, including PEMDAS and BODMAS. Aside from the value, the variables must also be made simpler.
Given, A factory employs 3 full-time workers and 6 part-time workers; the amount earned by each is $36,000 for the production supervisor; $27,000 for the machine operator; $21,000 for the general assistant; a total of $50,000 for part-time staff.
The Total wage for the full-time staff = 36000 + 27000 + 21000
The total wage for the full-time staff = 84000
Therefore 84000$ was the wage bill for the 3 full-time staff.
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You are watching your favorite soccer player on TV. Statistics show that he has a 37% chance of scoring a goal each time he shoots. He shoots twice. What is the probability that he scores a goal both times?
A moving company charges $0.60 per pound for a move from New York to Florida. A family estimates that their belongings weigh about 4 tons. About how much would it cost the family to move from New York to Florida?
1 ton = 2000 pounds
4* 2000 = 8000 pounds total
8000 * 0.60 = $4,800.00
it will cost $4,800 to move
Answer:
Step-by-step explanation:
1 ton = 2000 pounds
4* 2000 = 8000 pounds total
8000 * 0.60 = $4,800.00
it will cost $4,800 to move
From the side view, a gymnastics mat forms a right triangle with other angles measuring 60° and 30°. The gymnastics mat extends 5 feet across the floor. How high is the mat off the ground?
To find the height of the mat off the ground, we can use trigonometry.
Explanation:To find the height of the mat off the ground, we can use trigonometry. Since the angles of the right triangle formed by the mat are 60° and 30°, we can determine the height using the sine function. The sine of an angle is equal to the length of the side opposite the angle divided by the length of the hypotenuse.
In this case, the side opposite the 30° angle is the height of the mat, and the hypotenuse is the length of the mat, which is 5 feet. So, we have sin(30°) = height/5. Solving for the height, we get height = 5 * sin(30°) = 5 * 0.5 = 2.5 feet.
Therefore, the mat is 2.5 feet off the ground.
The correct answer is option B. The height of the gymnastics mat off the ground is [tex]\frac{5\sqrt{3}}{3}}[/tex] feet.
Given that the gymnastics mat extends 5 feet across the floor, this length corresponds to the side opposite the 60° angle in the right triangle.
Let's denote the length of the side opposite the 30° angle as [tex]$x$[/tex].
According to the properties of a 30-60-90 triangle, the side opposite the 60° angle is [tex]\sqrt{3}[/tex] times the side opposite the 30° angle, so we have:
[tex]\[ 5 = x\sqrt{3} \][/tex]
To find [tex]$x$[/tex], we divide both sides of the equation by [tex]$\sqrt{3}$[/tex]:
[tex]\[ x = \frac{5}{\sqrt{3}} \][/tex]
To rationalize the denominator, we multiply the numerator and the denominator by [tex]$\sqrt{3}$[/tex]:
[tex]\[ x = \frac{5\sqrt{3}}{3} \][/tex]
The complete question is:
From the side view, a gymnastics mat forms a right triangle with other angles measuring 60° and 30°. The gymnastics mat extends 5 feet across the floor. How high is the mat off the ground?
A. [tex]\frac{5}{2}[/tex] ft.
B. [tex]\frac{5\sqrt{3}}{3}[/tex] ft.
C. [tex]5\sqrt{3}}[/tex] ft.
D. 10 ft.
Jaidee made her trip to the train station and back. The trip there took two hours and the trip back took five hours. She averaged 30 mph faster on the trip there than on the return trip. What was Jaidee's average speed on the outbound trip?
Model the function rule y = -2x - 3 with a table of values. Show your work.