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2 years ago

In the quadrilateral below, Angle A is-congruent-to angle C, and Angle B is-congruent-to angle D.

Mathematics

2 answers:

natka813 [3]2 years ago

5 0

Answer:

152

Step-by-step explanation:

Margaret [11]2 years ago

4 0

Answer:

d.152

Step-by-step explanation:

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If a cone-shaped hole is 3 feet deep and the circumference of the base of the hole is 44 feet what is the volume of the hole? Us

tiny-mole [99]

The formula for finding a volume of a cone is
V=πr^2h(1/3)
Plug in the values the have given you and solve.
3.14(7)^2(3)(1/3)
approx. 153.86 cubic ft.

4 0

3 years ago

A mother is 30 years older than her son. Fifteen years ago the son was 1/3 of

nalin [4]

Let s be the son's age 15 yeasr ago and m the mother's age that year.

$s = \dfrac{m}{3}$

We also know that:

$m = s+30$

Plotting vallues:

$s = \dfrac{m}{3}\\\\\\3s = s+30\\\\2s = 30\\\\s = 15\\\\m = 45$

Remember that they were that age 15 years ago.

So their actual age is 30 and 60.

8 0

3 years ago

Read 2 more answers

Find the multiplicative inverse of 3 − 2i. Verify that your solution is corect by confirming that the product of

leonid [27]

Answer:

$\frac{3}{13} + \frac{2i}{13}$

Step-by-step explanation:

The multiplicative inverse of a complex number y is the complex number z such that (y)(z) = 1

So for this problem we need to find a number z such that

(3 - 2i) ( z ) = 1

If we take z = $\frac{1}{3-2i}$

We have that

$(3- 2i)\frac{1}{3-2i} = 1$ would be the multiplicative inverse of 3 - 2i

But remember that 2i = √-2 so we can rationalize the denominator of this complex number

$\frac{1}{3-2i } (\frac{3+2i}{3+2i } )=\frac{3+2i}{9-(4i^{2} )} =\frac{3+2i}{9-4(-1)} =\frac{3+2i}{13}$

Thus, the multiplicative inverse would be $\frac{3}{13} + \frac{2i}{13}$

The problem asks us to verify this by multiplying both numbers to see that the answer is 1:

Let's multiplicate this number by 3 - 2i to confirm:

$(3-2i)(\frac{3+2i}{13}) = \frac{9-4i^{2} }{13} =\frac{9-4(-1)}{13}= \frac{9+4}{13} = \frac{13}{13}= 1$

Thus, the number we found is indeed the multiplicative inverse of 3 - 2i

4 0

3 years ago

Which of the following is the square of a binomial

Ronch [10]

Answer:

Step-by-step explanation:

(a+b)² = a² + 2ab + b²

The only choice that has the form a² + 2ab + b² is D.

5 0

2 years ago

Roland was driving to campus but realized that his car is out of gas. He started driving around Syracuse looking for a gas stati

tester [92]

Answer:

Roland is right, he can be 95% sure that average gas prices have gone up since the same time last year.

Step-by-step explanation:

Let μ be average gas price around Syracuse.

Then hypotheses are:

$H_{0}:$ μ = $2.68

$H_{a}:$ μ > $2.68

Then test statistic can be calculated as:

z= $\frac{X-M}{\frac{s}{\sqrt{N} } }$ where

X is the Roland's calculated average gas prices of 50 gas stations ($2.74)

M is the average average gas prices in the entire of Syracuse last year

s is the standard deviation ($0.11)

N is the sample size(50)

Then z= $\frac{2.74-2.68}{\frac{0.11}{\sqrt{50} } }$ ≈ 3.86

Since P-value of test statistic ≈ 0.00006 <0.05 (significance level), we can reject the null hypothesis.

7 0

3 years ago