One side of trapezoid is 10 inches. The side parallel to this is twice as long as this side. The height is half as long as the given side length. Find the area of the trapezoid.
The formula for the perimeter of a rectangle is P=2(L+W) solve for W.
A. W=p/2-l
B. W=2p-l
C. W=p-2/+l
D. W=P/2+L
Answer:
Option A - [tex]W=\frac{P}{2}-L[/tex]
Step-by-step explanation:
Given : The formula for the perimeter of a rectangle is P=2(L+W).
To find : Solve for W ?
Solution :
The formula for the perimeter of a rectangle is
[tex]P=2(L+W)[/tex]
Multiply,
[tex]P=2L+2W[/tex]
Subtract 2L both side,
[tex]P-2L=2W[/tex]
Divide by 2 both side,
[tex]W=\frac{P-2L}{2}[/tex]
or [tex]W=\frac{P}{2}-L[/tex]
Therefore, Option A is correct.
Any nonzero number to the power of zero is equivalent to _____.
Simplify: (sin θ − cos θ) − (sin θ + cos θ)2 (5 points)
A box contains 5 blue marbles 3 red marbles and 6 white marbles. if three marbles are drawn, without replacement, what is the probability that all three are blue?
The longer leg of a right triangle is 4cm longer than the shorter leg. the hypotenuse is 8cm longer than the shorter leg. find the side lengths of the triangle
Final answer:
To find the side lengths of the right triangle, we let the shorter leg be x cm, resulting in the longer leg and hypotenuse being (x + 4) cm and (x + 8) cm, respectively. Using the Pythagorean theorem, we establish the equation x² + (x + 4)² = (x + 8)², then solve for x to determine the side lengths.
Explanation:
The problem involves solving for the lengths of the sides of a right triangle using the Pythagorean theorem. Let the shorter leg of the triangle be x cm. According to the problem statement, the longer leg would then be x + 4 cm, and the hypotenuse would be x + 8 cm. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b).
Using the theorem we can set up the equation:
x² + (x + 4)² = (x + 8)²
Solving for x will give us the lengths of the sides of the triangle:
Shorter leg: x cmLonger leg: x + 4 cmHypotenuse: x + 8 cmShow work on simply 2+(3g-4)-(8g+3)
Find the approximate side length of a square game board with an area of 192 in2.
Based on this excerpt, we can conclude that autism
Which expression is equivalent to 32⋅32⋅32⋅32 ? (Also All The 32s Are Fractions, The Lines Just Wont Come Up.)
Answer:
If this is 1/32 for all of them the answer would be (1/32)^4 or (1/32) to the 4th power. if this is 3/2 it would be (3/2)^4 or (3/2) to the 4th power.
Step-by-step explanation:
If this is 1/32 for all of them the answer would be (1/32)^4 or (1/32) to the 4th power. if this is 3/2 it would be (3/2)^4 or (3/2) to the 4th power. I hope this helps : )
The cost of 1 movie ticket is $7.50. The cost 2 movie tickets is $15.based on this constant rate of change what is the cost of 4 movie tickets
A used-boat dealership buys a boat for $2600 and then sells it for $3800. What is the percent increase?
the % increase is about ?%
Which equation illustrates the commutative property of addition?
Find three consecutive integers with a sum of -36
The plate is rotated 90° about the origin in the counterclockwise direction. In the image trapezoid, what are the coordinates of the endpoints of the side congruent to side FG?
Three eggs are required to make two dozen muffins. how many eggs are needed to make 12 dozen muffins using a proportion
Which of the following is rational?
A. 3 x pie
B. 2/3 + 9.26
C. root 45 + root 36
D. 14.333... + 5.78765239...
If the parent function is y = 2x, which is the function of the graph?
A. y = 0.5(2)x + 1 − 3
B. y = 0.5(2)x + 1 + 3
C. y = 0.5(2)x − 1 − 3
D. y = 0.5(2)x − 1 + 3
Description
Answer is C but if its on grad point your answer is 0.5(2)^x
Six times a number , less 11 is 49
Jane has read 108 pages of her book. Kevin is reading the same book and has 80 pages left to read. If there are 200 pages in the book by how much percent is the number of pages left for Jane greater then Kevin
A motor racing circuit has the length of 5 5/6 milesa straight section of the circuit has the length 1 1/4 mileswhat fraction of the circuit is the straight section?
Answer:
3/14
Step-by-step explanation:
How do you know that 6:14 is equivalent to 15:35 using a multiplication table?
Answer:Sample answer: Using a multiplication table, you would see that 6 and 15 are multiples of 3 by factors 2 and 5. You would also see that 14 and 35 are multiples of 7 by factors 2 and 5.
The required equivalency of the ratios 6:14 and 15:35 is 3 / 7 = 3 / 7.
Given that,
To determine that 6:14 is equivalent to 15:35 using a multiplication table.
The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
the given ratios are,
1) 6 : 4 = 6/4 = 2* 3/ 2 *7
2) 15:35= 15 / 35 = 5 * 3 / 5 * 7
Implies both the ratios are equivalent, by
6 : 14 = 15 : 35
2[ 3 : 7] = 5 [ 3 : 7 ]
Thus, the required equivalency of the ratios 6:14 and 15:35 is 3 / 7 = 3 / 7.
Learn more about ratio here:
brainly.com/question/13419413
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A fourth degree polynomial with five terms could have, at most, how many different linear factors?
The correct answer is: c. 4. In some cases, a fourth-degree polynomial with five terms could have at most 4 different linear factors.
To understand how many different linear factors a fourth-degree polynomial with five terms could have at most, let's consider the Fundamental Theorem of Algebra, which states that a polynomial of degree (n) has exactly (n) complex roots, counting multiplicity. For a fourth-degree polynomial, this means it can have at most 4 linear factors, as each linear factor corresponds to a root.
However, the polynomial could have repeated roots, reducing the number of distinct linear factors. If all four roots are distinct, then there will be 4 different linear factors. But if one or more roots are repeated, the number of different linear factors will decrease. The polynomial could have fewer than 4 distinct linear factors if it has repeated roots.
Complete Question:
A fourth degree polynomial with five terms could have, at most, how many different linear factors?
a. 3
b. 2
c. 4
d. 5
Plzzzz Help mee with the one that isnt answered look at the pic i took
Triangles are congruent if they have the same ______________.
You found 6.60 on the ground at school, alpl in nickels, dimes, and quarters. you have twice as many quarters as dimes and 42 coins in all. how many of each type of coin do you have?
What's the missing side
x = 35/sin(40) = 54.4503
round answer as needed.
What are the steps to find x
Please help me out!! ☮✌
a linear pair would equal 180 degrees
so 180-28 = 152
The sum of two complementary angles is 90°. For one pair of complementary angles, the measure of the first angle is 15 less than twice the measure of the second angle. Write a system of equations that can be used to determine the measure of the first angle, a, and the measure of the second angle, b.
Answer: The measure of angle a is 90-25=65° and the measure of angle be is 25°.
Step-by-step explanation:
Let the two complementary angles be 'a' and 'b'.
So, the sum of two complementary angles is 90°.
So, it becomes,
[tex]a+b=90^\circ---------------(1)[/tex]
First angle is 15 less than twice the measure of the second angle.
So, it becomes,
[tex]a=2b-15-------------(2)[/tex]
Put the equation (2) in equation (1), we get
[tex]a+b=90^\circ\\\\2b-15+b=90^\circ\\\\3b+15=90^\circ\\\\b=90-15\\\\3b=75^\circ\\\\b=\dfrac{75}{3}\\\\b=25^\circ[/tex]
Hence, the measure of angle a is 90-25=65° and the measure of angle be is 25°