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3 years ago

Express your answer in scientific notation. 4.9 X 10^5 – 5.8 X 10^4 WILL MARK BRAINLIST

Mathematics

1 answer:

dsp733 years ago

8 0

Answer: =432000

Step-by-step explanation: Hope this help :D

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If BC = 7 and CD = 24, find AC.

vodomira [7]

Answer:

2√42 ≈ 12.961

Step-by-step explanation:

All of the right triangles are similar, so ...

short leg/long leg = BC/AC = AC/CD

AC² = BC·CD = 7·24 = 168

AC = √168 = 2√42

3 0

3 years ago

An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in California. Suppose that

sergiy2304 [10]

Answer:

(22.0297, 23.3703)

Step-by-step explanation:

Given that an economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in California.

Let X be per capita income (in thousands of dollars) for a major city in California.

Mean = 22.7

n = 183

Population std dev = 6.3

Since population std dev is known we can use Z critical value.

Std error = $\frac{6.3}{\sqrt{183} } \\=0.4657$

Z critical =1.44

Marginof error = ±1.44*0.4657=0.6706

Confidence interval 85%

= $(22.7-0.6703, 22.7+0.6703)\\= (22.0297, 23.3703)$

7 0

3 years ago

The area of a rectangle is 42 ft squared, and the length of the rectangle is 5 ft more than twice the width. Find the dimensions

stira [4]

Answer:

<h3>Length = 12 ft</h3>

Width = $\frac{7}{2} ft$

Step-by-step explanation:

Given,

Area of rectangle = $42 \: {ft}^{2}$

Width = X

Length = 2x + 5

Now,

$x(2x + 5) = 42$

$2 {x}^{2} + 5x = 42$

$2 {x}^{2} + 5x - 42 = 0$

$2 {x}^{2} + 12x - 7x - 42 = 0$

$2x(x + 6) - 7(x + 6) = 0$

$(2x - 7)(x + 6) = 0$

Either

$2x - 7 = 0$

$2x = 0 + 7$

$2x = 7$

$x = \frac{7}{2}$

Or,

$x + 6 = 0$

$x = 0 - 6$

$x = - 6$

Negative value can't be taken.

So, width = $\frac{7}{2} ft$

Again,

Finding the value of length,

Length = $2x + 5$

$2 \times \frac{7}{2} + 5$

$7 + 5$

$12$

Length = 12 ft

7 0

3 years ago

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Please help! Picture attached. (7th grade)

Hunter-Best [27]

Option B. 2 because 2-8
------- = -3
2

8 0

3 years ago

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Which triangles can have two sides of the same lenghth

alisha [4.7K]

An isosceles triangle is a triangle with 2 congruent sides. The congruent sides are called legs and the third side is called the base. So if 2 sides of a triangle have the same length, then we say that the triangle is isosceles.

8 0

3 years ago