What is the measure of angle BAC?

Answer:

steps below

Step-by-step explanation:

(cosA-sinA+1) * cosA = cos²A - sinA cosA + cosA

                                 = (1 - sin²A) - sinA cosA + cosA + sinA - sinA

                                 = cosA + sinA + 1 - sinA cosA  -sin²A - sinA  ..Re-group

                                 = (cosA + sinA + 1) - sinA (cosA + sinA + 1)

                                 = (cosA + sinA + 1) * (1 - sinA)

(cosA-sinA+1) / (cosA + sinA + 1) = (1 - sinA) / cosA

Answer:

[tex] \sqrt{8 + y} [/tex]

Answer:

13 )c

16) c

17) a

18 )d

20) 9x^2 +12

number 20. the answer is not in the option

Answer:

8

Step-by-step explanation:

Thrice means the same as 3, so 3 × 8 = 24 and when 9 is subtracted from 24 it is equal to 15

Answer:

Step-by-step explanation:

let the number be x

3x-9=15

3x=15+9     add 9 from both sides

3x=24

x=8

Answer:

C

Step-by-step explanation:

I already did this. ;)

Answer:

About 1 year

Step-by-step explanation:

Calculate :

[tex] \frac{1}{10} \times \frac{17}{18} = \frac{1 \times 17}{10 \times 18} = \frac{17}{180} [/tex]

Answer:

17/180

Step-by-step explanation:

You multiply both of the tops together and both of the bottoms together.

1 x 17 = 17

over

10 x 18 = 180

Hope this helps :D

Answer: do ur test ur self

Step-by-step explanation:

Answer:

It is 47°

Step-by-step explanation:

Thanks alot for the question :)

Answer:

68 in³

Step-by-step explanation:

Cylinder = 3x2x2x3=36

Sphere = 4/3x3x2x2x2=32

36+32=68

$250 Dollars.

All 4 families together spent 1,000 Dollars.

ALL FAMILIES SPEND 1000 DOLLARS

$ 250 DOLLARS

Answer:

4,050 cubic feet

Step-by-step explanation:

The figure is made up of a square pyramid and cube

Therefore:

Volume of the figure = volume of the square pyramid + volume of the cube

✔️Volume of the square pyramid = ⅓*a²h

a = 15 ft

h = 9 ft

Volume of square pyramid = ⅓*15²*9 = 675 ft³

✔️Volume of the cube = s³

s = 15 ft

Volume of the cube = 15³ = 3,375 ft³

✔️Volume of the figure = 675 + 3,375 = 4,050 cubic feet

Answer:         m               cm

                    112.00 11,200

Step-by-step explanation:

Answer:

B ≈ 76°

Step-by-step explanation:

∆ABC is a right triangle

Reference angle = B

AC = 8 units = Opposite

BC = 4 units = Adjacent

Thus, apply TOA:

Tan B = Opp/Adj

Tan B = 8/2

Tan B = 4

B = Tan^{-1}(4)

B ≈ 76°

Answer:

60th position is the first child that gets all 3 items

Step-by-step explanation:

Find the LCM of 3 , 5 and 4.

Least common multiple of 3 , 4 and 5 = 3 * 4 * 5 = 60

Answer:

3,6,9,12,

4,8,12,16,

5,10,15,

in 60th position

60is the first number that can be divided by 60/3=20 60/4=15 60/5=12

Step-by-step explanation:

you just do 180 - 90 = 90 degree is x value

Answer:

x should equal 90.

Step-by-step explanation:

x is the sum of those two interior angles. 50 + 40 equals 90.

Answer:

[tex] \sf \huge \boxed{ \boxed{(b + \frac{2}{3} )(b - \frac{2}{3} )}}[/tex]

Step-by-step explanation:

Answer:

Solution given:

[tex]b^{2} -\frac{4}{9}[/tex]=[tex]b^{2} -\frac{2^2}{3^2}=b^2 -(\frac{2}{3})^2[/tex]

it is in the form of x²-y²=(x+y)(x-y)

so

[tex]b^2 -(\frac{2}{3})^2=(b+\frac{2}{3})(b-\frac{2}{3})[/tex] is A required polynomial.

Step-by-step explanation:

Answer:

x = 85

Step-by-step explanation:

Because this is a right triangle, we can use the Pythagorean Theorem:

a² + b² = c²

Where c is the hypotenuse, or the longest side. This is opposite to the right angle of the right triangle. So now you have:

84² + 13² = x²

7056 + 169 = x²

7225 = x²

√7225 = √x²

85 = x

x = 85

Answer:

A: 45

B: 200

C: 3750

D: 450

E: 1080

F: 1375

Step-by-step explanation:

D. F(x)=(x-1)/x(x-3) Just took the test

The hundredths place

the 2 would be tenths, 1 is hundredths, and the 3 is thousandths

Answer:

[tex]\displaystyle \int {\frac{1}{1+(2x)^2}} \, dx = \frac{artan(2x)}{2} + C[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Calculus

Derivatives

Derivative Notation

Basic Power Rule:

Antiderivatives - Integrals

Indefinite Integrals

U-Substitution

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

Arctrig Integration [arctangent]:                                                                           [tex]\displaystyle \int {\frac{1}{a^2 + u^2}} \, du = \frac{1}{a}arctan(\frac{u}{a}) + C[/tex]

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \int {\frac{1}{1+(2x)^2}} \, dx[/tex]

Step 2: Integrate Pt. 1

Step 3: Identify Variables

Identify variables for u-substitution of arctrig.

Step 4: Integrate Pt. 2

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

Unit: Integration of Arctrig

Book: College Calculus 10e

Answer:

3

Step-by-step explanation:

just get everything but the h to the other side

divide by b1 + b2

1/2h = A/b1 + b2

then multiply by 2

h = 2A/b1 + b2

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Volume of Cylinder = πr²h

                                = 3.14 * 12 * 12 * 50

                                = 22608 cubic ft

Answer:

66

Step-by-step explanation:

V=πr2h

3=π·32·7

3≈65.97345