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3 years ago

ΔDEF is similar to ΔABC as shown below, and x represents the length of segment EF.

Mathematics

1 answer:

Marysya12 [62]3 years ago

4 0

Explaining- when you look at the vertex to the other vertex you see the length and that is when you multiply

Answer- A

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(3.8 x 10 ^ -6) x (2.37 x 10 ^ -3) Enter the answer in science notification

Black_prince [1.1K]

Multiply the coefficients and the powers of 10 with each other:

$(3.8 \times 10^{-6}) \times (2.37 \times 10^{-3}) = (3.8\times2.37) \times (10^{-6} \times10^{-3})$

The numeric part simply yields

$3.8\times2.37 = 9.006$

As for the powers of 10, you have to add the exponents, using the rule

$a^b \times a^c = a^{b+c}$

So, we have

$10^{-6} \times10^{-3} = 10^{-6-3} = 10^{-9}$

So, the final answer is

$9.006\times 10^{-9}$

7 0

3 years ago

Gia's ruler is divided into tenths of an inch. What fraction of an inch represents the greatest possible measurement error due t

miskamm [114]

The greatest measurement error s 1/10 of an inch, which is 10% of an inch.

Therefore the greatest measurement error is 1/10 or 10%.

Answer: 0.1 or 10% per inch.

4 0

3 years ago

A square comer of 16 square centimeters is removed

Crazy boy [7]

Answer:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Which pair of words describes this system of equations 3y=9x-6 2y+6x=4

pishuonlain [190]

Answer:

Consistent and dependent

Step-by-step explanation:

Given

$3y = 9x - 6$

$2y + 6x = 4$

Required

The words that describe the equations

Make y the subject in (2)

$2y + 6x = 4$

Collect like terms

$2y = 4 - 6x$

Divide through by 2

$y = 2 - 3x$

Substitute: $y = 2 - 3x$ in (1)

$3y = 9x - 6$

$3(2 - 3x) = 9x - 6$

$6 - 9x = 9x - 6$

Collect like terms

$9x+9x = 6+6$

$18x = 12$

Solve for x

$x = \frac{12}{18}$

Simplify

$x = \frac{2}{3}$

Substitute $x = \frac{2}{3}$ in $y = 2 - 3x$

$y = 2 - 3*\frac{2}{3}$

$y = 2 - 2$

$y =0$

So, we have:

$x = \frac{2}{3}$ and $y =0$

The system is consistent because it has at least 1 solution

The system is dependent because it has more than 1 solution

6 0

3 years ago

Factor 2x^2 + 9x +10

PtichkaEL [24]

Answer:

(2x + 5) (x + 2)

Step-by-step explanation:

(2x + 5) (x + 2)

2x² + 4x + 5x + 10

2x² + 9x + 10

6 0

3 years ago

Read 2 more answers