If the perimeter of rectangle is 68cm if the diagonal is 26cm find dimensions

Answers

Answer 1

Answer: perimeter = 2(a +b), where a = length and b = width
p = 68
a+b = 34
so
a = 34-b
.
diagonal = c = 26 cm
.
Pythagorean Theorem teaches us that:
.
c^2 = a^2 + b^2
.
Substitute for a = 34-b and c = 26
.
26^2 = (34-b)^2 + b^2
,
Collect terms.
.
676 = (b^2 -68b + 1156) + b^2
.
2b^2 -68b + 480 = 0
.

b^2 -34b +240 = 0

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There are 10 playing cards in a bag. 7 of those cards are spades.What is the probability of picking a spade randomly from the bag?

Answers

Answer:

P(spades) = 7/10

Step-by-step explanation:

there are 10 different cards that can be picked, out of which what we want to pick is spades which are 7. and so there are 7 chances that we will get to pick spades out of all the 10 possibilities. hope it is easy to understand

The answer to the problem 5 x (4 + 1) is called a _____.A) sum
B) difference
C) product
D) quotient

Answers

The answer to the problem 5 x (4 + 1) is called a C) product.

Given is an expression 5 x (4+1), we need to tell which mathematical operation dose it shows.

In mathematics, the term "product" refers to the result obtained when two or more numbers are multiplied together.

In this case, the numbers involved are 5 and (4 + 1). The expression (4 + 1) is first evaluated inside the parentheses, which results in 5.

Then, the multiplication is performed: 5 x 5 = 25.

So, the correct answer is C) product.

Learn more about multiplication click;

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Remember in PEMDAS (P = Parenthesis, E = Exponent, M = Multiplication, D=Division, A= Addition, S= Subtraction), you always do the Parenthesis or Brackets first. So your equation will become 5 x 5 in the end. Therefore the answer is "C) product".

Can someone answer this question?

Answers

The inequality is: 5>x≥0

Step-by-step explanation:

We have to write the inequality one by one

The inequality symbols are used to write inequalities.

So,

5 is greater than x will be written as:

5>x

And

0 is less than or equals to x:

0≤x or x≥0

We have to combine the both inequalities so that the variable is not repeated. The inequality symbols have to be written carefully while writing the compound inequalities.

5>x≥0

Keywords: Inequality, Relationships

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What is the square root of 141?

Answers

The square root of 141 = $√(141)$

This is because the two factors are 3 and 47, which both aren't perfect squares. You cannot take anything out.

If you want it simplified (like with a calculator) it would be:
$√(141) =11.87$

The square root of 141
√141=11.87434208703792

Prove that sin(x) + tan(x) = 1 + sec(x)/csc(x) by using trigonometric identities.

Answers

Answer:

Step-by-step explanation:

sin(x) + tan(x) =sin(X) + sin(x)/cos(x)

=sinx(1+1/cosx)

=Sinx(1+secx)

=1+secx/cosecx. (Since sinx=1/cosecx)

Hence LHS=RHS proved

A bank offers a 3.7% annual interest rate for a retirement savings account. A worker puts $8,000 into the account. How much will be in the account after a year?