All categories

3 years ago

Rectangle ABCD is similar to rectangle JKLM. AB = 10, BC = 8, CD = 10, DA = 8, and JK = 15. The area of rectangle JKLM is ____u2

Mathematics

1 answer:

jeyben [28]3 years ago

6 0

The area of rectangle ABCD would be 80.

You might be interested in

A construction firm bids on two different contracts. Let E1 be the event that the bid on the first contract is successful, and d

marissa [1.9K]

Calculate the probability that both bids are successful

Answer:

The probability that both contracs are successful is 0.21

Step-by-step explanation:

Given

E1 = the event that the bid on the first contract is successful

E2 = the event that the bid on the second contract is successful

P(E1) = 0.3

P(E2) = 0.7

Let P(A) represent the event that both contracts are successful

P(A) = P(E1 and E2)

Since both events are independent. P(A) becomes

P(A) = = P(E1 * P(E2)

By substituton

P(A) = 0.3 * 0.7

P(A) = 0.21

Hence the probability that both contracs are successful is 0.21

7 0

3 years ago

What is the solution to this system of equations? *<br> 11) x - 3y=9<br> x+3y=-3

Alika [10]

In point form (3,-2)
Equation form

8 0

3 years ago

Read 2 more answers

The price of a notebook was $3.70 yesterday. Today, the price fell to $3.20. Find the percent decrease

jeyben [28]

Answer:

86% Decrease

Step-by-step explanation:

3.70 times x= 3.20 3.20 divided by 3.70= 0.86

6 0

3 years ago

What's the volume of a cone with the base of 14ft?

Nostrana [21]

Answer:

$volume = \frac{1}{3} \pi {r}^{2} h \\ but \: h = 7 \tan(50 \degree) \\ h = 8.34 \: ft \\ volume = \frac{1}{3} \times 3.146 \times {(7)}^{2} \times 8.34 \\ volume = 428.55 \: cubic \: ft$

7 0

3 years ago

X to the power of 3 - 7x + 6 factorise please whole step by step

Over [174]

Answer:

$(x + 3)(x - 2)(x - 1)$

Step-by-step explanation:

${x}^{3} - 7x + 6$

Factor using Rational Root Theorem.

This means our possible roots are

positve or negative (1,2,3,6). If we try positve 1, it is indeed a root.

This means that

$(x - 1)$

is a root.

We can divide the top equation by the root (x-1). Our new equation is

$( {x}^{2} + x - 6)$

Now we can factor this completely

$(x + 3)(x - 2)$

So this equation in factored form is

$(x + 3)(x - 2)(x - 1)$

8 0

3 years ago