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3 years ago

Please Help! 30 Points! Please explain your answer.

Mathematics

1 answer:

deff fn [24]3 years ago

4 0

For this, you need to implement trigonometry, and the soa cah toa method is the one that I use. in this case you would use the tangent, which is toa, opposite over adjacent. in your calculator you will have to click the tan button on your calculator. in the parentheses type in 25 because that is the angle measure that you know. in this case, the side that you don't know is the adjacent side so it would be tan(25)=x/1 (I think it was a 1, it looked like the picture cut it off). this means to isolate the x you need to multiply it by the opposite length (the one on the bottom, 1) and so you need to multiply tan(25) by 1 (or whatever it is on the bottom of the equation/opposite length on the picture). you should get your answer that way and it should be bigger than the opposite side.

You might be interested in

The length of a rectangle is 8 more than triple the width. If the perimeter is 160 inches find the dimensions.

sweet [91]

Answer:

w = 18; l = 62

Step-by-step explanation:

The formula for perimeter of a rectangle is P = 2l + 2w, where l represents length and w represents width

We know that the length can be found using the equation l = 3w + 8

Plugging this in for l in the original formula for perimeter gives us 160 = 2 * (3w + 8) + 2w

160 = 6w + 16 + 2w

160 = 8w + 16

144 = 8w

18 = w

Plugging 18 in for the second equation gives us 3 * 18 = 54 + 8 = 62 = l

4 0

2 years ago

Find the function y = f(t) passing through the point (0, 18) with the given first derivative.

monitta

Answer:

$\displaystyle y = \frac{t^2}{16} + 18$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Functions
Function Notation
Coordinates (x, y)

Calculus

Derivatives

Derivative Notation

Antiderivatives - Integrals

Integration Constant C

Integration Rule [Reverse Power Rule]: $\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C$

Integration Property [Multiplied Constant]: $\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx$

Step-by-step explanation:

Step 1: Define

Identify

Point (0, 18)

$\displaystyle \frac{dy}{dt} = \frac{1}{8} t$

Step 2: Find General Solution

Use integration

[Derivative] Rewrite: $\displaystyle dy = \frac{1}{8} t\ dt$
[Equality Property] Integrate both sides: $\displaystyle \int dy = \int {\frac{1}{8} t} \, dt$
[Left Integral] Integrate [Integration Rule - Reverse Power Rule]: $\displaystyle y = \int {\frac{1}{8} t} \, dt$
[Right Integral] Rewrite [Integration Property - Multiplied Constant]: $\displaystyle y = \frac{1}{8}\int {t} \, dt$
[Right Integral] Integrate [Integration Rule - Reverse Power Rule]: $\displaystyle y = \frac{1}{8}(\frac{t^2}{2}) + C$
Multiply: $\displaystyle y = \frac{t^2}{16} + C$

Step 3: Find Particular Solution

Substitute in point [Function]: $\displaystyle 18 = \frac{0^2}{16} + C$
Simplify: $\displaystyle 18 = 0 + C$
Add: $\displaystyle 18 = C$
Rewrite: $\displaystyle C = 18$
Substitute in C [Function]: $\displaystyle y = \frac{t^2}{16} + 18$

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Integration

Book: College Calculus 10e

4 0

3 years ago

Use the following function rule to find f(0). f(x)= -9 (3)^x f (0 ) =

AlladinOne [14]

Step-by-step explanation:

Substitute f(0) into the function:

$f(0) = - 9(3)^{0}$

Include exponent:

$f(0) = - 9(1)$

Multiply:

$f(0) = - 9$

7 0

2 years ago

Plz help!!!! Geometry

never [62]

The little lines inside the two angles mean they are the same.

The 3 inside angles of a triangle equal 180 degrees.

One angle is 146 , so the other two need to equal 180-146 = 34 total.

34/ 2 = 17

Both angle 1 and angle 2 are 17 degrees each.

8 0

3 years ago

Read 2 more answers

∠ABC is adjacent to ∠CBD. If the m∠ABC=4x+23, m∠CBD=6x+7, and m∠ABD=130°, what is the measure of angle ABC? (Show your work)

Hunter-Best [27]

Answer:

$\angle ABC=63\textdegree$

Step-by-step explanation:

$\angle ABC=4x+23\\\angle CBD=6x+7\\\angle ABD=130\textdegree \\\angle ABD=\angle ABC+\angle CBD\\\\\Rightarrow4x+23+6x+7=130\\\Rightarrow10x+30=130\\\Rightarrow10x=100\\\Rightarrow x=10$

Substitute the value of $x$

$\angle ABC=4x+23\\=4\times10+23\\=40+23\\=63$

7 0

3 years ago