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2 years ago

Choose an object that could be about the same length as each measurement.

Mathematics

1 answer:

Vika [28.1K]2 years ago

8 0

Answer:

G - Foot race

F - Grain of rice

E - pencil

D - table cloth

C - persons leg

B - Ladder

A - insect

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Complete the work to find the dimensions of the rectangle. x(x – 3) = 10 x2 – 3x = 10 x2 – 3x – 10 = 10 – 10 (x + 2)(x – 5) = 0

Norma-Jean [14]

Answer:

$Length =5$

$Width = 2$

Step-by-step explanation:

Given

$Length =x$

$Width = x -3$

$Area = 10$

$x(x-3) =10$

See comment for missing part of the question

Required

Complete the expression to determine the dimension of a rectangle

We have:

$x(x-3) =10$

Open bracket

$x^2 -3x = 10$

Equate to 0

$x^2 -3x - 10 =0$

Expand

$x^2 + 2x - 5x - 10 = 0$

Factorize

$x(x + 2) - 5(x + 2) = 0$

Factor out x + 2

$(x - 5)(x + 2) = 0$

Solve for x

$x - 5 = 0$ or $x + 2 = 0$

$x = 5$ or $x = -2$

The value of x cannot be negative

So:

$x = 5$

Recall that:

$Length = x$

$Width = x - 3$

So:

$Length =5$

$Width = 2$ ---- i.e. 5 - 3

6 0

2 years ago

What % of 800,000 = 560,000

Ne4ueva [31]

Answer:

70%

Step-by-step explanation:

560,000/800,000= 0.70

6 0

2 years ago

The proof shows that opposite angles of a parallelogram are congruent. Given: ABCD is a parallelogram with diagonal AC. Prove: ∠

Rom4ik [11]

A parallelogram is a figure which has its opposite sides to be equal and parallel. The missing reason in the proof is:

B. Substitution Angle Angle Postulate.

A parallelogram is a type of quadrilateral that has its opposite sides to be equal and parallel. The sum of its internal angles is $360^{o}$ .

To prove that ∠ BAD ≅ ∠ DCB, we have:

Given parallelogram ABCD;

<BAC ≅ <ACD (alternate angle theorem)

<DAC ≅ <ACB (alternate angle theorem)

<BAC + <DAC = <BAD

Also,

<BCA + <DCA = <BCD

Therefore,

<BAD ≅ <DCB (Substitution Angle Angle Postulate)

Thus, the missing reason in the partial proof is:

option B. Substitution Angle Angle Postulate

A sketch is attached to this question for more clarifications.

Visit: brainly.com/question/3100335

4 0

2 years ago

If f(x) = 3x - 1 and 2f(b) = 28, what is the value of f(2b)?

Vlad1618 [11]

<h3>Answer: 29</h3>

=================================

Work Shown:

Solve the second equation for f(b)

2f(b) = 28

f(b) = 28/2

f(b) = 14

----------

Plug in x = b and solve for b

f(x) = 3x-1

f(b) = 3b-1 ... replace every x with b

14 = 3b-1 ..... plug in f(b) = 14

3b-1 = 14

3b = 14+1

3b = 15

b = 15/3

b = 5

-----------

f(x) = 3x-1

f(2b) = 3(2b)-1 .... replace every x with 2b

f(2b) = 3(2*5)-1 .... plug in b = 5

f(2b) = 3*10-1

f(2b) = 30-1

f(2b) = 29

3 0

3 years ago

Knowing that you need a sample pool of 1019 students to ultimately get about 500 students in your sample, you are in a position

Allushta [10]

Answer:

Sampling interval = 9.323

Step-by-step explanation:

Given that:

Population size, N = 9500

Require sample, n = 1019

Sampling interval :

Population size / required sample size

Sampling interval = 9500 / 1019 = 9.3228

Interpretation :

In other to obtain a sample of 1019 drawn systematically from the population, a sample will be drawn at every 9.323 units from the population of 9500

6 0

3 years ago