Answer: 43.96 m
Step-by-step explanation:
the circumference of one of the semi circle radius of one of the semicircles is 7 meters is 7 meters
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Valerie's goal is to study more than 1 1/4 hours each night.
Which shows the possible number of hours she might study to reach this goal?
A.
h < 1 1/4
and h may be up to 3 hours.
B.
h ≥ 1 1/4
and h may be up to 3 hours.
C.
h > 1 1/4
and h may be up to 30 hours.
D.
h > 1 1/4
and h may be up to 3 hours.
Part B: What method is used to factor p(x)=8x3+12x2+2x+3?
Select one answer for Part A and select one answer for Part B.
B: perfect-square trinomial
B: grouping
A: (2x+3)(4x+1)
B: sum of cubes
A: (4x2+1)(2x+3)
A: (2x+3)(4x2+6x+1)
A:
B: grouping
Step-by-step explanation:
We are given the polynomial:
Part A: What is the correct factorization of over the integers?
We need to factorize the term
Factorizing by grouping:
So, factors of the term are
Part B: What method is used to factor p(x)=8x3+12x2+2x+3?
The method used to factor the given polynomial is grouping.
We group the terms and then find the common terms in that specific group
So, the answers are:
A:
B: grouping
Keywords: Finding Factors
Learn more about finding factors at:
#learnwithBrainly
Answer:
○ b Corresponding Angles
Step-by-step explanation:
These two angles are a mirror,so they correspond.
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Angle 1 and angle 5 are alternate interior angles with the same measure.
Angle 1 and angle 5 are alternate interior angles formed by a transversal line intersecting two parallel lines. Alternate interior angles are equal in measure, which means that angle 1 and angle 5 have the same measure. This relationship holds true regardless of the specific measurements of angle 1 and angle 5.
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We want to multiply the monomial by the monomial .
Remember that to multiply monomials we need to use the laws of exponents; in this case, the law for multiplying powers with the same base. The rule says that, when you multiply powers of the same base, you just need to add the exponents: , . Also, is worth pointing out that the exponent of a variable with no exponent is 1: .
Remember that we also need to multiply their coefficients , which are the numbers that multiply the variables; again, variables with no numbers have a coefficient of 1, so . Multiply coefficients is easy, you just need to multiply them as you usually do with everyday numbers.
Let's apply all of that to our multiplication:
We can conclude that 2x times x squared is 2x cubed.
times is .
Further explanation:
A monomial is an expression which contains one term and a monomial includes numbers and variables which are multiplied together. The constant term is multiplies with an another constsnt term and the variable is multiplies with an another variable term.
Law of exponent:
Product with same base: If we multiply the same bases with different exponents then the base remains the same and the exponents are added in the final product.
Calculation:
Now, we are given the two monomials as and .
Multiplying both the monomials as follows:
Here, is a variable and has power in the first monomial and has power in the second monomial.
Using the mentioned law of exponents as the variable is similar in both the monomial and add the powers of both as follows:
Therefore, times is .
Learn more
1. Problem on the whole numbers are positive integers brainly.com/question/1852063.
2. Problem on the adding and simplifying the numbers brainly.com/question/894273
3. Problem on general form of the equation of the circle brainly.com/question/1506955
Answer details:
Grade: Middle school
Subject: Mathematics
Chapter: Polynomials
Keywords: Trinomials, binomials, monomials, polynomials, variables, exponents, real numbers, degree of polynomials, equations, expressions, coefficients, zero polynomial, constants, integers, function, domain, range, codomain, graph, abscissa, coordinates, roots of polynomials, bivariate polynomials.
Part B: Chloe's trip back to her house took twice as long as her trip to the library. What was Chloe's average speed for the entire trip (from her house to the library and back to her house)? Show your work and explain your reasoning.
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Answer:
Part A) Speed of Chloe's bicycle from her house to the library = 15 mph
part B) Average speed = 10 mph
Step-by-step explanation:
Chile rode her bicycle from her house directly to the library in 4 minutes. The library is 1 mile from her house.
Distance between house and library = 1 mile
Time taken from house to library = 4 minutes
As we know, 60 minutes = 1 hour
So, 4 minutes
Part A:
Speed of Chloe's bicycle from her house to the library = 15 mph
Part B: Chloe's trip back to her house took twice as long as her trip to the library.
Distance = 1 mile
Time
Distance = 1 mile
Time
Average speed = 10 mph