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2 years ago

Find two consecutive odd integers if twice the larger, increased by the smaller equals 37,

Mathematics

1 answer:

Alexxx [7]2 years ago

6 0

Answer:

11 and 13

Step-by-step explanation:

the first (smaller) odd integer can be called x

the second (larger) odd integer can be called x+2

2(x+2)+x = 37

[simplify . . .]

2x+4+x = 37

3x+4 = 37

[subtract 4 from each side]

3x = 33

[divide each side by 3; find smaller odd integer]

x = 11

[add 2 to find larger odd integer]

x+2 = 13

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3 years ago

Read 2 more answers

PLEASE HELP!! 20 POINTS!!

Mashcka [7]

Answer:

$12\sqrt{3}$

Step-by-step explanation:

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2 years ago

With reference to the figure, sin X equals? 1.) 0.250 2.)0.447 3.)0.894 4.)1

Flura [38]

Answer:

3.) 0.894

Step-by-step explanation:

✔️First, find BD using Pythagorean Theorem:

BD² = BC² - DC²

BC = 17.89

DC = 16

Plug in the values

BD² = 17.89² - 16²

BD² = 64.0521

BD = √64.0521

BD = 8.0 (nearest tenth)

✔️Next, find AD using the right triangle altitude theorem:

BD = √(AD*DC)

Plug in the values into the equation

8 = √(AD*16)

Square both sides

8² = AD*16

64 = AD*16

Divide both sides by 16

4 = AD

AD = 4

✔️Find AB using Pythagorean Theorem:

AB = √(BD² + AD²)

AB = √(8² + 4²)

AB = √(64 + 16)

AB = √(80)

AB = 8.9 (nearest tenth)

✔️Find sin x using trigonometric ratio formula:

Reference angle = x

Opposite side = BD = 8

Hypotenuse = AB = 8.944

Thus:

$sin(x) = \frac{opp}{hyp} = \frac{8}{8.944} = 0.894$ (nearest thousandth)

6 0

3 years ago

Farmer bob's square plot ofland is slowly eroding away. Worried about the future of his farm. Farmer Bob measures the rate of er

kow [346]

Answer:

Option A.

Step-by-step explanation:

Area of a square is

$A=x^2$ .... (1)

where, x is side length.

The length of each side of his square plot is decreasing at the constant rate of 2 feet/year.

$\dfrac{dx}{dt}=2$

It is given that bob currently owns 250,000 square feet of land.

Fist find the length of each side.

$A=250000$

$x^2=250000$

Taking square root on both sides.

$x=500$

Differentiate with respect to t.

$\dfrac{dA}{dt}=2x\dfrac{dx}{dt}$

Substitute x=500 and $\frac{dx}{dt}=2$ in the above equation.

$\dfrac{dA}{dt}=2(500)(2)$

$\dfrac{dA}{dt}=2000$

Farmer bob is losing 2,000 square feet of land per year.

Therefore, the correct option is A.

7 0

2 years ago

Hi! I have a math question. This is a two part problem.

Mumz [18]

Answer:

Blair chosen to purchase shirt from company B. Given:

Each shirt costs 3.10$

Shipping cost is 4% (0.04) of total order.

=>Total cost without shipping: 150 x 3.10 = 465$

=> Total cost with 4% of shipping: 465 + 465 x 0.04 = 483.6$

=> Total cost Blair paid for one shirt: C = 483.6/150 = 3.22$

The markup is 75% of original cost:

=> Blair can multiply the total cost for one shirt by 0.75

Blair will sell shirt with price which is equal to the sum of total cost for one shirt and markup:

=> P = 3.22 + 3.22 x 0.75 = 5.64$

Hope this helps!

5 0

3 years ago