All categories

3 years ago

Answer fast please and thanks!

Mathematics

2 answers:

Stella [2.4K]3 years ago

8 0

Answer:

tan 30 = x / 15

General Formulas and Concepts:

Trigonometry

[Right Triangles Only] SOHCAHTOA
[Right Triangles Only] tanθ = opposite over adjacent

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = 30°

Opposite Leg = x

Adjacent Leg = 15

Step 2: Solve for x

Substitute in variables [tangent]: tan 30 = x / 15

arlik [135]3 years ago

7 0

Answer:

3rd one

Step-by-step explanation:

Recall that

Sin = opposite over hypotenuse

Cos = adjacent over hypotenuse

Tan = opposite over adjacent

For the angle with a measure of 30 degrees we are given it's adjacent side length and need to find it's opposite side length

When dealing with opposite and adjacent we use tangent

If tan = opposite over adjacent

Then tan30 = x / 15 and the correct answer choice is the third one

You might be interested in

The lines on a 2 cup liquid measuring cup divide each cup into eighths. If you measure 1 cups of water, between

Lemur [1.5K]

Answer:

The 4rth line and 5th line

Step-by-step explanation:

This 2 cup measuring cup with 8 division lines

8th line ------ 2 cups

7th line ------

6th line ------

5th line -----

4th line ----- at this line 1 cup

3rd line -----

2nd line ----

1st line ----

6 0

3 years ago

Read 2 more answers

Solve for x. 23x=49 x=827 x=23 x = 2 x = 3

Lelu [443]

Answer:

x = 49/23

Step-by-step explanation:

23x = 49

=> x = 49/23

I wonder why this option is not one of the options given. Please consider to re-check the options you have given to me.

Thank you!

Hoped this helped.

6 0

2 years ago

Read 2 more answers

PLEASE HELP find the vertex of f(x)=x^2+2x+3 (make sure you show your work)

kotegsom [21]

Answer:

(- 1, 2)

Step-by-step explanation:

Given a quadratic in standard form y = ax² + bx + c : a ≠ 0

Then the x- coordinate of the vertex is

$x_{vertex}$ = - $\frac{b}{2a}$

f(x) = x² + 2x + 3 ← is in standard form

with a = 1 and b = 2, hence

$x_{vertex}$ = - $\frac{2}{2}$ = - 1

Substitute x = - 1 into f(x) for corresponding value of y

f(- 1) = (- 1)² + 2(- 1) + 3 = 1 - 2 + 3 = 2

vertex = (- 1, 2 )

4 0

2 years ago

Brielle and her family went to our diner. They got ice cream cone, a brownie, and a cookie. How much did they spend on dessert?

Svetlanka [38]

Answer:

$6.83

Step-by-step explanation:

A brownie costs $3.45, an ice cream costs $2.43, and a cookie costs $0.95. So $3.45 + $2.43 + $0.95 = $6.83. If you need to know the change if they paid with $10.00 also . . . That would be $10.00 - $6.83 = $3.17 change.

7 0

2 years ago

The gross weight of a truck containing 30 pigs is 8 tons 1,123 pounds and 6 ounces. The average weight of one pig is 95 pounds 1

irakobra [83]

Answer: The net weight of the pigs of the truck is 1 ton 868 pounds 12 ounces.

The weight of the empty truck is 7 tons 254 pounds 10 ounces.

Step-by-step explanation:

Since we have given that

The gross weight of a truck containing 30 pigs = 8 tons 1123 pounds 6 ounces

Average weight of one pig = 95 pounds 10 ounces

Now,

We know that

$1\text{ pound}=16\text{ ounces}$

So,

$\text{Gross weight of truck containing 30 pigs}\\=8\text{ tones }1123\times 16+6\text{ ounces}\\=8\text{ tons }17974\text{ ounces}$

Similarly,

$\text{ average weight of one pig }\\=95\times 16+10\text{ ounces}\\=1530\text{ ounces}$

So, Net weight of the pigs in the truck

$1530\times 30\\ =45900\text{ ounces}\\\\=\frac{45900}{16}\\\\=2868\text{ pounds }12\text{ ounces}\\\\=1\text{ ton }868\text{ pounds }12\text{ ounces }$

So, the net weight of the pigs of the truck is 1 ton 868 pounds 12 ounces.

Now, we'll find the weight of the empty truck is given by

$\text{Gross weight of a truck containing} -\text{ Net weight of pigs in the truck}\\=8\text{ tons}1123\text{ pounds}6\text{ ounces}-1\text{ton }868\text{ pounds }12\text{ounces}\\=(8\times 2000\times 16+1123\times 16+6)-(1\times 2000\times 16+868\times 16-12)\\=273974\text{ ounces}-45900\text{ ounces}\\=228074\text{ounces }\\=7\text{ tons }254\text{ pounds }10\text{ ounces}$

Hence, the weight of the empty truck is 7 tons 254 pounds 10 ounces .

4 0

2 years ago