Two sides of an isosceles triangle measure 3 inches and 13 inches respectively. Find the lenth of the third side.

Answers

Answer 1

Answer: el tapo sel ki nao tamo st im ki la io ti ga om

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Calculate measure of angle E B A , given a measure of arc D A equals 88 degrees and m measure of arc E F A equals 178 degrees =178º. The figure is not drawn to scale.

Answers

it is 125 for a,b,c,d,e,f.

its 125 , hope this helped

32 is 40 percent of what number

Answers

The unknownnumber (x) is equal to 80.

This means that 32 is 40 percent of 80, or in other words, 32 is 40 percent of the number 80.

We have,

To explain further, let's break down the calculation step by step:

We are given that 32 is 40 percent of some unknown number. Mathematically, this can be represented as:

32 = 0.40 x

To find the unknown number (represented by x), we want to isolate it on one side of the equation.

By dividing both sides of the equation by 0.40, we eliminate the 0.40 on the right side, and we have:

32 / 0.40 = x

Simplifying the left side:

80 = x

Therefore,

The unknownnumber (x) is equal to 80.

This means that 32 is 40 percent of 80, or in other words, 32 is 40 percent of the number 80.

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Further explanation

Given:

32 is 40 percent of what number?

The Process:

Let N as the number asked.

The mathematical equation of the question sentence represents as follows:

$\boxed{ \ 32 = 40 \% * N \ }$

Which can be rewritten to be

$\boxed{ \ 40 \% * N = 32 \ }$

All we have to do to get the N value is a division operation.

$\boxed{ \ If \ a * b = c, \ then \ a = c / b \ or \ b = c / a \ }$

$\boxed{ \ If \ a * b = c \ then \ a = (c)/(b) \ or \ b = (c)/(a) \ }$

$\boxed{ \ 40 \% * N = 32 \ }$

$\boxed{ \ N = 32 / 40 \% \ }$

Recall that $\boxed{ \ 40 \% = (40)/(100) \ }$

$\boxed{ \ N = 32 / (40)/(100) \ }$ ... Equation-1

Recall that $\boxed{ \ a / (b)/(c) \rightarrow a * (c)/(b) \ }$

$\boxed{ \ N = 32 * (100)/(40) \ }$ ... Equation-2

Both 100 and 40 divided by 10 to make it simpler.

$\boxed{ \ N = 32 * (10)/(4) \ }$

32 is crossed out with 4, in other words dividing each other.

$\boxed{ \ N = 8 * 10 \ }$

Thus, the result is $\boxed{\boxed{ \ N = 80 \ }}$

Alternative-1:

Recall that $\boxed{ \ (40)/(100) = 0.40 = 0.4 \ }$

From Equation-1 above, we rearrange it into

$\boxed{ \ N = (32)/(0.4) \ }$

Both the numerator and denominator are multiplied by 10.

$\boxed{ \ N = (320)/(4) \ }$

Thus, the result is $\boxed{\boxed{ \ N = 80 \ }}$

Alternative-2:

From Equation-2 above, both 100 and 40 are divided by 20.

$\boxed{ \ N = 32 * (5)/(2) \ }$

32 is crossed out with 2, in other words dividing each other.

$\boxed{ \ N = 16 * 5 \ }$

Thus, the result is $\boxed{\boxed{ \ N = 80 \ }}$

Alternative-3:

$\boxed{ \ 40 \% * N = 32 \ }$

Both sides are multiplied by $\boxed{ \ (100)/(40) \ }$

$\boxed{ \ N = 32 * (100)/(40) \ }$

$\boxed{ \ N = 32 * (10)/(4) \ }$

$\boxed{ \ N = 32 * (5)/(2) \ }$

$\boxed{ \ N = 16 * 5 \ }$

Thus, the result is $\boxed{\boxed{ \ N = 80 \ }}$

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Keywords: 32 is 40 percent of what number, a division operation, fraction, multiply, 80, decimals, alternative steps, the mathematical equation

If ABC ~ DEC, solve for x. The image is not drawn to scale.A.
x = 2
B.
x = 3
C.
x = 4
D.
x = 13

Answers

Answer: A. x = 2

Step-by-step explanation:

In the given picture we have $\triangle{ABC}\sim\triangle{DEC}$

Since, we know that the corresponding sides in similar triangles are in proportion.

Therefore, we have

$(CD)/(AC)=(CE)/(BC)\n\n\Rightarrow(8+x)/(6)=(19-2x)/(11-x)\n\n\Rightarrow\ (11-x)(8+x)=6(19-2x)\n\n\Rightarrow\ 88 + 3x -x^2=114-12x\n\n\Rightarrow x^2-15x+26=0\n\n\Rightarrow\ (x-13)(x-2)=0\n\n\Rightarrow\ x=13,2$

But x can not be 13 because BC=11-13=-2, which is not possible.

Therefore, the value of x=2.

$If\ \Delta ABC\sim\Delta DEC\ then:\n\n(19-2x)/(11-x)=(8+x)/(6)\ where\ x\in(-8;\ 11)\ \ \ |cross\ multiply\n\n(11-x)(8+x)=6(19-2x)\n11(8)+11(x)-x(8)-x(x)=6(19)+6(-2x)\n88+11x-8x-x^2=114-12x\n-x^2+3x+88=114-12x\ \ \ |subtract\ 114\ from\ both\ sides\n-x^2+3x-26=-12x\ \ \ \ \ |add\ 12x\ to\ both\ sides\n-x^2+15x-26=0\ \ \ \ |change\ signs\nx^2-15x+26=0\nx^2-2x-13x+26=0\nx(x-2)-13(x-2)=0\n(x-2)(x-13)=0\iff x-2=0\ or\ x-13=0\n\nx=2\in(-8;\ 11)\ or\ x=13\notin(-8;\ 11)\n\nAnswer:\boxed{\boxed{A.\ x=2}}$

A= 13+26+39+...+169What is the sum of the prime numbers that can divide A ?

A)16 B)18 C)20 D)22 E)24

Answers

A= 13+26+39+...+169=

= 13(1+2+3+....+13)=

=13* (13*14)/2=

=13*13*7

=> 13+7=20

So the answer is c)

Jamie goes on holiday to Florida.The exchange rate is £1 = 1.70 dollars.
He changes £900 into dollars.
(a) How many dollars should he get?

Answers

The person should get $1530 in exchange for £900.

What is a Ratio?

A ratio indicates the number of times one number contains another.

The exchange rate is given as:

£1 = $1.70

The equivalent amount of £900 in dollars is calculated as:

£1 = $1.70

Multiply both sides by 900:

£900 = $ (1.70×900)

£900 = $1530

Hence, the person should get $1530 in exchange for £900.

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he will get $1,530 in total all you had to do is multiply 1.70 by 900

The relationship between the number of cups of flour, f , and the number of cups of milk, m , used in a cake recipe can be modeled by the equation f = 1 2 m . How many cups of flour should be used for 1 cup of milk?

Answers

Answer:

f = (1/2)(m), for m = 1

f = (1/2)(1)

Step-by-step explanation:

Final answer:

To use 1 cup of milk, 1/2 cup of flour should be used.

Explanation:

The relationship between the number of cups of flour, f, and the number of cups of milk, m, used in a cake recipe can be modeled by the equation f = 1/2m. To find out how many cups of flour should be used for 1 cup of milk, we can substitute 1 for m in the equation. Plugging in the value of m, we get:

f = 1/2 * 1 = 1/2

So, 1/2 cup of flour should be used for 1 cup of milk.

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