Find the value of each variable using the given chord, secant, and tangent lengths. If the answer is not a whole number, round to
the nearest tenth.

41x - 164 = 271

x = 35

Answer:

x= 35

Step-by-step explanation:

1271 + 164 = 1435

1435/41 = 35

Answer:

[tex] 88 \: {in}^{2} [/tex]

Step-by-step explanation:

Area of the figure = Area of rectangle with dimensions 16 in and 4 in + Area of two right triangles with base (7 - 4 = 3) 3 in and height 8 in

[tex] = 16 \times 4 + 2 \times \frac{1}{2} \times 3 \times 8 \\ \\ = 64 + 24 \\ \\ = 88 \: {in}^{2} [/tex]

Answer:

The longest side of the cross-section is: [tex]2.4cm[/tex]

Step-by-step explanation:

Given

See attachment for pyramid

Required

The longest side of the cross-section

The base of the pyramid is a rectangle with the following dimension (in terms of length)

[tex]Long = 6cm[/tex]

[tex]Short = 3cm[/tex]

For the cross-section, we have:

[tex]Long = x[/tex]

[tex]Short =1.2cm[/tex]

Since both are parallel, then the following relationship exist between both

[tex]Ratio = Long : Short[/tex]

So, we have:

[tex]6cm : 3cm = x: 1.2cm[/tex]

Express as fraction

[tex]\frac{6cm }{ 3cm }= \frac{x}{1.2cm}[/tex]

[tex]2= \frac{x}{1.2cm}[/tex]

Make x the subject

[tex]x = 2 * 1.2cm[/tex]

[tex]x = 2.4cm[/tex]

Answer:

[tex]sin x=-\frac{5}{13}[/tex]

Step-by-step explanation:

From the question we are told that:

Radius [tex]r=13[/tex]

Co-ordinate of x axis at C [tex]x'=12[/tex]

Let

x' represent the x axis

y' represent the y axis

Since the intercept across the radius has values on the x' and y' axis

Therefore

Generally the Trigonometric equation for cos x is mathematically given by

 [tex]cos x=\frac{x'_c}{r}[/tex]

 [tex]cos x=\frac{12}{13}[/tex]

Generally the Trigonometric equation for sin x is mathematically given by

[tex]sin x=\sqrt{1-cos^2x}[/tex]

[tex]sin x=\sqrt{1-(\frac{12}{13})^2}[/tex]

[tex]sin x=\frac{5}{13}[/tex]

Since x is in the IV quadrant sin x is negative

[tex]sin x=-\frac{5}{13}[/tex]

Answer:

x = 45

Step-by-step explanation:

2x - 56 = 34

2x = 34 + 56

2x = 90

x = 45

Answer:

x = 45

Step-by-step explanation:

2x-56=34 add 56 to both sides

2x = 90 divide both sides by 2

x = 45

Answer:

c g(x)=2x^2

Step-by-step explanation:

hi

Answer:

D.

Step-by-step explanation:

4 x (26 + 72) is 4 time more than the expression of 26 + 72

the awnser is 799 by 983

Step-by-step explanation:

Answer:

[tex]\implies Dividend = x^3-3x^2+4x-3[/tex]

Step-by-step explanation:

Given :-

And we need to find out the Dividend. We know that ,

[tex]\implies Dividend = Quotient\times Divisor + Remainder [/tex]

Substituting the respective values :-

[tex]\implies Dividend = (x-3)(x^2-2)+7x-9 \\\\\implies Dividend = x^3-2x-3x^2+6+7x-9 \\\\\implies Dividend = x^3-3x^2+4x-3[/tex]

Answer:

The probability of getting a 1, 2, 3 on three rolls respectively is [tex]\frac{1}{216}[/tex].

Step-by-step explanation:

Since you are rolling three dies, and each die has six sides, that means there are a total of 216 possible outcomes. Out of the 216 different outcomes, only 1 of them meet the requirement of rolling a '1' on the first die, a '2' on the second die, and a '3' on the third die, so the fraction to represent the situation would be [tex]\frac{1}{216}[/tex].

Answer:

1 1/2

one and one half.

Step-by-step explanation:

Answer:

81/16

Step-by-step explanation:

Answer:

<KLN and <MLN

Step-by-step explanation:

adjacent angles have a common vertex and a common side

Answer:

10

Step-by-step explanation:

(3 + 12) - 3² + 8 · 2 ÷ 4

15 - 9 + 16 : 4

6 + 4

10

Answer:

D

Step-by-step explanation:

every time the mile increases he burns more calories you can see that when you look at it closely

Answer:

6.7

Step-by-step explanation:

For this questions we have the oppsotie side and need the adjacent

out of SOH, CAH, TOA we will sue TOA

tan(56)=10/x

tan(56)/10=1/x

10/tan(56)=x

x=6.745 which rounds to 6.7

Answer:

I think it might be 0.3 i'm not sure though

Step-by-step explanation:

Answer:

I'm pretty sure it's $5.00.

Answer:

1 /2

Step-by-step explanation:

The theoretical probability is the possibility of an event occurring based on reasoning and not on the outcome of a trial or experiment. Hence, for the question above, the outcome of the tosses or trials would have no effect on the theoretical probability that a coin lands oon head or tail.

Theoretical probability of an event =

Favorable outcome / Total possible outcomes

Favorable outcomes = number of heads in a coin = 1

Total possible outcomes = number of faces on a coin = 2 (head and tail)

Therefore,

Theoretical probability of landing on head = 1 /2

Answer:

======> Jazmine

Answer: Median: 10

Step-by-step explanation:

Answer: 10

Step-by-step explanation: First you place the numbers in order from least to greatest (5,5,7,9,11,12,16,23) then you take away one from each side at a time so 5,23 then 5,16 etc. you end up with 9 and 11 left so you find the middle of 9 and 11 which is 10.

Answer:

are you asking to convert to fractions and decimals?

1. .05 1/20

2..17 or 17/100

3. 7/2

Answer:

I think that it is C. hope this is correct

5x + 3y = 6

Answer's too short so here's some extra text.

Answer:

2,4

Step-by-step explanation:

Answer:

10m^3+10m^2+100m these is the answer to your question

Hi there!

f''(4) = -4 means that at x = 4, the second derivative is equal to -4. This is equivalent to the instantaneous rate of change of the graph of f'(x) at x = 4 as well.

Answer:

Step-by-step explanation:

if the second derivative is -4 means that the function is concave down and that at point 4 the function has a maximum

Answer:

bell-shaped curve

Step-by-step explanation:

A density curve is scaled so that the area under the curve is 1