All categories

3 years ago

Mrs. Johnson has errands to accomplish at the post office and the grocery store. The

Mathematics

1 answer:

antiseptic1488 [7]3 years ago

3 0

Answer: C) 10 miles

<u>Step-by-step explanation:</u>

6 miles north and 8 miles west creates a right triangle.

Use Pythagorean Theorem: a² + b² = c² where

a = 6
b = 8
c = distance from post office to home

6² + 8² = c²

36 + 64 = c²

100 = c²

√100 = √c²

10 = c

You might be interested in

The value 5pi/2 is a solution for the equation 2sin^2x -sin x -1=0

victus00 [196]

Answer:

5π/2 it is not a solution for the equation 2sin²x - sinx - 1 = 0

Step-by-step explanation:

∵ 2sin²x - sin x - 1 = 0

* Lets factorize it as a quadratic equation

∴ ( 2sinx + 1)(sinx - 1) = 0

∴ 2sinx + 1 = 0 ⇒ 2sinx = -1 ⇒ sinx = -1/2

* ∵ The value of sinx is -ve

∴ x is in the 3rd or 4th quadrant ⇒ According to ASTC Rule

- ASTC Rule: 1st all +ve , 2nd sin only +ve ,

3rd tan only +ve , 4th cos only +ve

* Let sinα = 1/2 where α is an acute angle

∴ α = π/6

∵ x is in 3rd or 4th quadrant

∴ x = π + α = π + π/6 = 7π/6 or

∴ x = 2π - π/6 = 11π/6

∴ sinx - 1 = 0 ⇒ sinx = 1

∴ x = π/2

∴ ALL values of x are π/2 , 7π/2 , 11π/2 if 0 ≤ x ≤ 2π

∴ 5π/2 it is not a solution for the given equation

3 0

3 years ago

Read 2 more answers

On a coordinate plane, 2 lines are shown. Line H J has points (negative 4, negative 2) and (0, 4). Line F G has points (negative

antoniya [11.8K]

Answer:

They are not perpendicular because their slopes are not negative reciprocals.

Step-by-step explanation:

Well first we need to find slope.

$\frac{y^2-y^1}{x^2-x^1}$

Line HJ)

(-4,-2) , (0,4)

y2 is 4 y1 is -2, so 4 - -2 = 6

0 - -4 = 4

6/4 -> 3/2

Due to the point (0,4) having no x value 4 is the y intercept.

Hence, y = 3/2x + 4 is the slope of line HJ

Line FG)

(-4,1) , (0,-2)

y2 is -2 y1 is 1, so -2 - 1 = -3

0- -4 = 4

Because (0,-2) is missing an x value -2 is the y intercept,

Equation: y = -3/4x - 2

They are not perpendicular because their slopes are not negative reciprocals.

7 0

3 years ago

Read 2 more answers

3. Multiply the polynomials (a2 + 3a – 4) and (2a2 – a + 5). Simplify the answer. Show your work.

Crazy boy [7]

The product of given polynomials is:

$2a^4+5a^3-6a^2+19a-20$

Step-by-step explanation:

Distributive multiplication will be sued to multiply the given polynomials

Given expressions are:

$a^2+3a-4\\and\\2a^2-a+5$

So,

$(a^2+3a-4)(2a^2-a+5)\\= a^2(2a^2-a+5)+3a(2a^2-a+5)-4(2a^2-a+5)\\=2a^4-a^3+5a^2+6a^3-3a^2+15a-8a^2+4a-20$

Combining like terms

$2a^4-a^3+5a^2+6a^3-3a^2+15a-8a^2+4a-20\\=2a^4-a^3+6a^3+5a^2-3a^2-8a^2+15a+4a-20\\= 2a^4+5a^3-6a^2+19a-20$

Hence,

The product of given polynomials is:

$2a^4+5a^3-6a^2+19a-20$

Keywords: Polynomials, expressions

Learn more about polynomials at:

#LearnwithBrainly

7 0

4 years ago

The National Center for Health Statistics, housed within the U.S. Centers for Disease Control and Prevention (CDC), tracks the n

Yakvenalex [24]

Answer:

a. 0.158

b. 0.01942

Step-by-step explanation:

For part a we define probability that the randomly selected person is if 65 years or more than that

Probability of under age = 22.8% = 0.228

Probability of those from age 18 to 64 = 61.4% = 0.614

1-0.228-0.614

= 0.158

P(uninsured) = p(those not up to 18) * p(those uninsured or under 18) + p(those age 18-64) * p(uninsured or under 18) + p(being 64plus) x P(uninsured or 64 plus)

= 0.228 x 0.051 + 0.614 x 0.124 + 0.158 x 0.011

= 0.011628 + 0.076136 + 0.001738

=0.089502

P(65 of older|uninsured) = p(64+) x P(uninsured or 64 plus)

= 0.157 x 0.011/0.089502

= 0.001738/0.089502

= 0.01942

4 0

3 years ago

Gerald works at a warehouse that ships products to various grocery stores. He has 230 boxes of oatmeal to ship.

Vika [28.1K]

Answer:

?????

Step-by-step explanation: check if you wrote the complete question.

6 0

3 years ago