Trigonometry, Law of Cosines.

Select the angle that correctly completes the law of cosines for this triangle.

Answer:

Step-by-step explanation:

Given

[tex] {7}^{4} \div 7[/tex]

Since,

[tex] {a}^{x} \div {a}^{y} = {a}^{x - y} [/tex]

Hence,

[tex] = {7}^{4 - 3} [/tex]

[tex] = {7}^{3} (ans)(as \: a \: single \: power \: of \: 7)[/tex]

Answer:

196608

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Frizzy cola is 4.1 through 4.3 inclusive

This means that the pH Range of frizzy cola is between 4.1 to 4.3(including 4.3)

If the pH value is represented as h :

The the lower bound will be 4. 1

Upper bound will be 4.3

This means :

4.1 less than or equal to h and h is less than or equal to 4.3

4.1 ≤ h ≤ 4.3

Since, 7 is neutral, values below 7 are acidic while above 7 are alkaline ;

The range is below 7, hence, frizzy cola is acidic.

4.1 ≤ h ≤ 4.3 ; acidic

Answer:

Step-by-step explanation:

Answer:

[tex]x=5,\:x=-11[/tex]

Step-by-step explanation:

We solve this with the quadratic formula.

[tex]x_1=\frac{-6+16}{2\cdot \:1},\:x_2=\frac{-6-16}{2\cdot \:1}[/tex]

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Part (a)

The angles would stay the same. This is because similar figures keep the same shape, but the size will shrink or grow.

A real world application is to simply move your head closer to the page and the figure will appear to get larger. The angles themselves stay the same but the side lengths will get larger.

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Part (b)

While the angles stay the same under a dilation operation, the side lengths do not. As the instructions state: "The side lengths are 3 times longer" (paraphrased).

So we multiply each side length in the diagram by 3

Refer to the diagram below. I've used the resize feature to enlarge the image to make figure DEFG

Answer:

y = -3x+ 4

one equation two unknows can not solve uniquely

4y = -12x + 16

y = -3x+ 4

is the solution set

Step-by-step explanation:

Answer:

[tex]x = \frac{ 16 - 4y}{12}[/tex]

Step-by-step explanation:

12x + 4y = 16

12x + 4y - 4y = 16 - 4y

12x = 16 - 4y

[tex]\frac{12x}{12} = \frac{ 16 - 4y}{12}[/tex]

[tex]x = \frac{ 16 - 4y}{12}[/tex]

Answer:

The volume of the cylinder is about 1256.6 cubic meters.

Step-by-step explanation:

The volume of a cylinder is given by the formula:

[tex]\displaystyle V=\pi r^2h[/tex]

Where r is the radius and h is the height.

Our radius is 10 meters and our height is four meters. Substitute:

[tex]\displaystyle V=\pi(10)^2(4)[/tex]

Evaluate:

[tex]V=400\pi \text{ m}^3\approx 1256.6\text{ m}^3[/tex]

Thus, the volume of the cylinder is about 1256.6 cubic meters.

Step-by-step explanation:

question 2

let the number be x

2 ( x + 5 ) = 5x - 14

2x + 10 = 5x - 14

2x - 5x = -14 - 10

-3x = -24

dividing both sides by -3

x = 8

to verify, 8 + 5 is 13 times 2 which 26..

so 5 times 8 is 40 minus 14 is 26

Answer:

answer is option c

4+8 is less than 14

12<14

the sum of two sides of a triangle should be greater than the other side

Answer:

p = 6x + 10

Step-by-step explanation:

p = 2(l + w)

p = 2(6 + (3x - 1))

Simplify terms inside parenthesis

p = 2(3x + 5)

Distribute

p = 6x + 10

Answer:

Step-by-step explanation:

11 ÷ 4 = 2 + 2 = 4

1 + 4 + 4 = 9

19 ÷ 4 = 4

Answer:

4/3

Step-by-step explanation:

-(16/9) = (p/q) (-4/3)

(-16/9)*(-3/4) = (p/q)

4/3 = p/q

Answer:

Step-by-step explanation:

Let the number be x

[tex]x *\frac{-4}{3}=\frac{-16}{9}\\\\x=\frac{-16}{9}*\frac{3}{-4}\\\\x=\frac{4}{3}[/tex]

Answer:

Step-by-step explanation:

Answer:

(9 × 100) + (2 × 1) + (6 × 0.1) + (4 × 0.001)

Step-by-step explanation:

I am pretty sure

Answer:

900+0+2+0.6+0.00+0.004

Step-by-step explanation:

(9×100)+0+2+0.6+0.00+0.004

Answer:

ratio

Step-by-step explanation:

i just know

Answer:

A Ratio

Step-by-step explanation:

its a ratio

your welcome ☺

Answer:

The probability that it isn't orange is 5/6

Step-by-step explanation:

There are twelve crayons and two are orange so there is ten that aren't orange. Probability being 10/12. We can now simplify to 5/6. There you go easy as.

Many regards, Abdelmumen Nakoa.

Answer:

49.54

Step-by-step explanation:

Take the new price and add the amount that it was reduced by to get the original amount

47.25+2.29

49.54

That was the original price

Answer:x

=4

permiter=6

area=24

Step-by-step explanation:

Answer:

x = 8, area = 364 km^2, perimeter = 80 km

Step-by-step explanation:

to start, we have to recognize that opposite sides of a rectangle are congruent.

therefore ➪

2x + 10 = 4x - 6

2x + 16 = 4x

16 = 2x

x = 8

now just plug that in and you'll find ➪

length = 26km

width = 14km

area = l * w

area = 26 * 14

area = 364 km^2

perimeter = 2(l + w)

perimeter = 2(14+26)

perimeter = 80 km

Answer:

Step-by-step explanation:

angle 4 is congruent to angle 4 because they are alternate interior angles.

angle 5 is congruent to angle 3 because they are alternate interior angles.

angle 1+angle 2+angle 3 is equal to (=) angle 1+angle 2+angle 3

angle 1+angle 2+angle 3=180 degree(being sum of interior angles of a trianngle)

Answer:

1. spends $80

2. Each garlic bread costs the same

3. Orders a pizza for 25.50 and two garlic breads

Step-by-step explanation:

Answer:

all real values

Step-by-step explanation:

there is no value for x, where the operations in f(x) would run into an undefined or outright invalid situation. whatever x we can think of, f(x) will calculate a valid y.

Answer:

Then the solution is (-1/4, 3)

Step-by-step explanation:

Start by eliminating the fractional coefficient 1/4:  multiply all 3 terms in the second equation by 4.  This results in equation (b), below:

4x - 3y = -10   (a)

4x = y -4         (b)  

Substitute y - 4 for 4x in equation (a):

y - 4 - 3y = -10

Combining like terms, we get -2y = -10 + 4, or -2y = -6, or y = 3.

Since x = (1/4)y - 1, if y = 3, then x = (1/4)(3) - 1, or x = 3/4 - 1, or x = -1/4

Then the solution is (-1/4, 3)

Question 1 (The wood question)

Answer: 14 7/8

Explanation: (see attached photo!)

Question 2 (The graph question)

Answer: multiply the number of weeks by 3

Explanation: Look at the point where it's between 2 and 4

I hope this helps!

Answer:

[tex]r^{3}=4050[/tex]

r = ∛4050

Step-by-step explanation:

[tex]V=\frac{4}{3} \pi r^{3}[/tex]

[tex]5400=\frac{4}{3} \pi r^{3}[/tex]

[tex]r^{3}=3(\frac{5400}{4} )[/tex]

[tex]r^{3}=3(1350 )[/tex]

[tex]r^{3}=4050[/tex]

Answer:

[tex]Given,[/tex]

∠CBA=(7x+6)°

∠EBD=(9x-24)°

[tex]Now,[/tex]

∠CBA=∠EBD (vertically opposite angles)

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hope it helps...

have a great day!!

Answer:

x= 15

Step-by-step explanation:

Answer:

9/35

Step-by-step explanation:

There are a total of 15 bulbs to choose from randomly. First a new bulb is chosen. Chance is 9/15 because 9 out of 15 are new.

Then there are only 14 bulbs left. Then a used bulb is chosen. Chance is 6/14 since 6 out of remaining 14 are used.

Total chance for this to happen is 9/15 * 6/14 = 54/210 = 9/35.

Answer:

x = 10

Step-by-step explanation:

The secant- secant angle 3x is half the difference of the intercepted arcs, that is

3x = [tex]\frac{1}{2}[/tex] (4x + 50 - 30 )

3x = [tex]\frac{1}{2}[/tex] (4x + 20) = 2x + 10 ( subtract 2x from both sides )

x = 10