Find the distance from A to C across the gorge illustrated in the figure.
The distance from A to C is ___ feet.

Find The Distance From A To C Across The Gorge Illustrated In The Figure.The Distance From A To C Is

Answers

Answer 1

Step-by-step explanation:

tan B = AC/BC

tan 35°= AC / 160

0.700 = AC /160

=> AC = 160 × 0.700

AC = 112.00

so, the distance from A to C is 112.00 feet

Answer 2

From the triangle given in the figure,

ΔACB is a right triangle.Measure of angle ABC = 35°Measure of adjacent side BC = 160 ft

Since, adjacent side BC of the right triangle ACB is given and we have to find the opposite side AC of angle ABC,

Trigonometric ratio to be used → [tex]\text{tan}\theta = \frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

By substituting these values in the expression,

[tex]\text{tan}(35^{\circ}) = \frac{AC}{160}[/tex]

AC = 160[tan(35)°]

AC = 112.03 feet

               Therefore, distance between A and C is 112.03 feet.

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Related Questions

2. Medication B is available in a liquid capsule of 150 mg per capsule. 600 mg/kg per
day is ordered for a child weighing 44 lbs. How many mgs should be given to this child
per day? How many capsules will the nurse administer to the child per day?

Answers

Answer:

12000 mg/day or 80 capsules

Step-by-step explanation:

First let's convert 44 lbs to kg. You could divide by 2.205 to get more precise answer but since 44 divides perfectly by 2.2 I don't think it's a coincidence it's meant to be rounded.

44/2.2=20 kg

600*20=12000 mg per day

12000/150=80 capsules

Seems a bit excessive but looking over my process I don't see any mistakes.

Solve for x.
17
6
15

Answers

Answer:

x = 11

Step-by-step explanation:

Use the Secant-Secant Product Theorem. This theorem states that if two secants intersect in the exterior of a circle, then the products of the lengths of one secant segment and its external segment equal the products of the lengths of the other secant segment and its external segment. \

Use formula : (whole*outside = whole*outside)

1. Formula

WO = WO

2. Substitute variables and setup equation

7(x+7) = 6(6+15)

3. Simplify and remove parentheses

7x+49 = 126

4. Isolate and solve for (x)

7x = 77

x = 11

Answer: 11

Given:

The figure of circle and two secants from an external point.

To find:

The value of x.

Solution:

According to intersecting secant theorem: If two secants (I and II) intersect each other outside the circle then

(I secant) × (external segment of I) = (II secant) × (external segment of II)

Using the intersecting secant theorem, we get

[tex]7(7+x)=6(6+15)[/tex]

[tex]49+7x=36+90[/tex]

[tex]7x=126-49[/tex]

[tex]7x=77[/tex]

Divide both sides by 7.

[tex]x=\dfrac{77}{7}[/tex]

[tex]x=11[/tex]

Therefore, the value of x is 11.

Help Emergency!
Linda is adding padding to all of the surfaces inside her attic for extra warmth in the winter.
She needs to find the approximate surface area of the attic, including the walls floor, and
ceiling. The attic is in the shape of a triangular prism. Linda draws the net and writes
the expression below to represent the surface area of the attic. Are Linda's net and
expression correct?

Answers

Answer:

4,350

Step-by-step explanation:

I'm taking the diagnostic

Evaluate 9.3p + 8.7r when p=6 and r=7 .

Answers

Answer:

116.7

Step-by-step explanation:

Given: p = 6, r = 7

Plug in 6 for p, and 7 for r in the given expression:

9.3p + 8.7

9.3(6) + 8.7(7)

Remember to follow PEMDAS. PEMDAS is the order of operations, and stands for:

Parenthesis, Exponents (& roots), Multiplication, Division, Addition, Subtraction.

First, multiply:

9.3 * 6 = 55.8

8.7 * 7 = 60.9

Next, add:

55.8 + 60.9 = 116.7

116.7 is your answer.

~

Answer:

9.3p + 8.7r when p=6 and r=7 .

substituting value

9.3*6+8.7*7

55.8+60.9

116.70is a required answer.

Adila sells T-shirts at a rock concert. She earns $8.00/h, plus $0.50 for each T-shirt she sells.

How many T-shirts must Adila sell to earn $80 in a 6-h shift?

Answers

Adila has to sell 64 shirts to earn $80 in a 6-h shift.

Answer:

64 Shirts

Step-by-step explanation:

For 8 hrs she already earns $48 because 8*6=48. She needs $32 more from shirts to make $80. If its $0.50 per shirt it takes 64 to make $32

10. A company is considering building a manufacturing plant. They determined the weekly
production coast at site A to be A(x) = 3x2 while the production cost at site be is B(x) =
8x + 3, where x represents the number of products, in hundreds, and A(x) and B(x) are
the production costs in hundreds of dollars.

Answers

Answer:

3

Step-by-step explanation:

i don't know i had to answer this and i put 300 but apparently its 3..?

what is the answer to this?

Answers

Answer:

This is the answer:

330550=

Given f(x) =
2 cos(7x), for x < -1
2
for x > -1
COS (1x)
What is lim f(x)?
X - - 1

Answers

Answer:

A

Step-by-step explanation:

We are given the function:

[tex]\displaystyle f(x) = \left\{ \begin{array}{ll} 2\cos(\pi x) \text{ for } x \leq -1 \\ \\ \displaystyle \frac{2}{\cos(\pi x)}\text{ for } x > -1 \end{array} \right.[/tex]

And we want to find:

[tex]\displaystyle \lim_{x\to -1}f(x)[/tex]

So, we need to determine whether or not the limit exists. In other words, we will find the two one-sided limits.

Left-Hand Limit:

[tex]\displaystyle \lim_{x\to-1^-}f(x)[/tex]

Since we are approaching from the left, we will use the first equation:

[tex]\displaystyle =\lim_{x\to -1^-}2\cos(\pi x)[/tex]

By direct substitution:

[tex]=2\cos(\pi (-1))=2\cos(-\pi)=2(-1)=-2[/tex]

Right-Hand Limit:

[tex]\displaystyle \lim_{x\to -1^+}f(x)[/tex]

Since we are approaching from the right, we will use the second equation:

[tex]=\displaystyle \lim_{x\to -1^+}\frac{2}{\cos(\pi x)}[/tex]

Direct substitution:

[tex]\displaystyle =\frac{2}{\cos(\pi (-1))}=\frac{2}{\cos(-\pi)}=\frac{2}{(-1)}=-2[/tex]

So, we can see that:

[tex]\displaystyle \displaystyle \lim_{x\to-1^-}f(x)=\displaystyle \lim_{x\to -1^+}f(x) =-2[/tex]

Since both the left- and right-hand limits exist and equal the same thing, we can conclude that:

[tex]\displaystyle \lim_{x \to -1}f(x)=-2[/tex]

Our answer is A.

Answer:

AAAAAAAAAAAAAAAAA

Step-by-step explanation: EDGE 2022

HELP PLZZZ I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!


A survey found that 40% of shoppers at Max-a-mart like chocolate ice cream. If 20 shoppers like chocolate ice cream, how many people were surveyed?
a) 20

b) 30

c) 50

d) 100

Answers

The answer is C 50 people because if you multiply the 40 percent by 2 you get 40 people then you can divide the 40 percent and add it to the 80 percent to get 50 ( ik it’s a lot)
The answer there is 50

HI CAN I GET SOMEONE TO HELP ME WITH MATH IM FAILING TY! :)

Answers

Answer:

20 square meters

Step-by-step explanation:

area = length x width

area of grass = 4 x 4 = 16

area of grass and cement = 6 x 6 = 36

Now you subtract to find the area of the cement.

36 - 16 = 20





The sixth-grade class is raising money to have a
class trip at the end of the year. They began the year
with $1,500. Now they have $1,650 in the account.
What is the percent increase for the money the class
has raised?

Answers

Answer:

There is a 10 percent increase

Help please i dont know how to do it

Answers

Answer:

14 is D but I don't 15 question answer

their sum is -11 and the difference is 41

Answers

Answer:

x+41=-11 I guess

Step-by-step explanation:

A brochure from the department of public safety in a northern state recommends that motorists should carry 12 items (flashlights, blankets, and so forth) in their vehicles for emergency use while driving in winter. The following data give the number of items out of these 12 that were carried in their vehicles by 15 randomly selected motorists.
5.3 78 0 105 12 10 7 6 7 119
Find the mean, median, and mode for these data. Round your answers to two decimal places, where appropriate.
Mean items
Median items
Mode - items

Answers

Answer:

[tex]Mean = 6.07[/tex]

[tex]Median = 7[/tex]

[tex]Mode = 7[/tex]

Step-by-step explanation:

Given

[tex]Data: 5\ 3\ 7\ 8\ 0\ 1\ 0\ 5\ 12\ 10\ 7\ 6\ 7\ 11\ 9[/tex]

[tex]n = 15[/tex]

Solving (a): The mean

Mean is calculated as:

[tex]Mean = \frac{\sum x}{n}[/tex]

This gives:

[tex]Mean = \frac{5+ 3+ 7+ 8+ 0+ 1+ 0+ 5+ 12+ 10+ 7+ 6+ 7+ 11+ 9}{15}[/tex]

[tex]Mean = \frac{91}{15}[/tex]

[tex]Mean = 6.07[/tex]

Solving (b): The median

Sort the data in ascending order:

[tex]Data: 5\ 3\ 7\ 8\ 0\ 1\ 0\ 5\ 12\ 10\ 7\ 6\ 7\ 11\ 9[/tex]

[tex]Sorted: 0\ 0\ 1\ 3\ 5\ 5\ 6\ 7\ 7\ 7\ 8\ 9\ 10\ 11\ 12[/tex]

The median is:

[tex]Median = \frac{n + 1}{2}th[/tex]

[tex]Median = \frac{15 + 1}{2}th[/tex]

[tex]Median = \frac{16}{2}th[/tex]

[tex]Median = 8th[/tex]    

The 8th item on the sorted dataset is 7; So:

[tex]Median = 7[/tex]

Solving (c): The mode

[tex]Mode = 7[/tex]

Because it has a frequency of 3 (more than any other element of the dataset).

Pls help me pls pls I beg you

Answers

Answer:

3/32 in³

Step-by-step explanation:

To find the volume of a rectangular prism, multiply the length, width, and height.

[tex]\frac{3}{4} *\frac{1}{2} *\frac{1}{4} =\frac{3}{32}[/tex]

Therefore, the volume is 3/32 in³.

Find the distance between points F and H.

Answers

Answer: 8

Since both are within the same “line”—just count the squares and that’ll be the distance
Just count the square but not the lines

The scores of 10 golfers were 77; 74; 78; 72; 70; 85; 71; 76; 80; 70. Calculate the mean of the dataset.

Answers

Answer:

The mean should be 75.3.

Step-by-step explanation:

[tex]\frac{77+74+78+72+70+85+71+76+80+70}{10}\\\\\frac{753}{10}\\\\\boxed{75.3}[/tex]

Hope this helps!

Choose A B C or D
State if the triangles in each pair are similar. If so, state how you
know they are similar

A) similar; SAS similarity
C) not similar
B) similar; SSS similarity
D) similar, AA similarity

Answers

Answer:

Option D

Step-by-step explanation:

From the picture attached,

m∠K ≅ m∠C [Given]

m∠L = m∠D [Given]

By AA property of similarity,

Both the triangles ΔDEC and ΔLMK are the similar triangles.

Option D will be the correct option.

a sqaure pieace of platic has sides that are 3 centimeter long. what is the platic pieace of teh area? answers

Answers

To find the area of a square multiply length x width. Since all sides are equal,
3 x 3 = 9
9 is the answer.

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The number of Internet users in Latin America grew from 40.8 million in 2009 to 85.6 million in 2016. Use the geometric mean to find
the annual growth rate. (Round your answer to 2 decimal places.)
2
points
Mean annual growth rate
S 02 21:50
References

Answers

OH WOW STEP BY STEP









CMON DAWG

The nth term of a sequence is given by 2n²+1.Write down the first four terms of the sequence.​

Answers

Answer:

2(1)²−1= 1

2(2)²−1= 7

2(3)²−1= 17

2(4)²−1= 31

2(5)²−1= 49

Please mark as brainliest if answer is right

Have a great day, be safe and healthy  

Thank u  

XD  

find any domain restrictions on f(g(x))
f(x)= square root x-3 and g(x)=x+5

Answers

Answer:

[tex]x \ge -2[/tex]

Step-by-step explanation:

The "argument" of a square root (the quantity you're finding the square root of) must be greater than or equal to 0.

[tex]f(x)=\sqrt{x-3}[/tex] requires [tex]x-3 \ge 0 \Rightarrow x \ge 3[/tex].

But in the function f(g(x)), the input to  f  is g(x) = x + 5, so x + 5 must be greater than or equal to 3.

[tex]x+5 \ge 3 \Rightarrow x\ge -2[/tex]

Composite functions can be confusing; one reason is the use of the same symbol, x to represent numbers from the domain of EACH function.  See if it helps to call the domain of g by the name x, and the domain of f by some other name.

[tex]f(z)=\sqrt{z-3}\\g(x)=x+5\\f(g(x))=f(x+5)=\sqrt{(x+5)-3}=\sqrt{x+2}[/tex]

The square root will require [tex]x+2 \ge 0 \Rightarrow x \ge -2[/tex]

PLS HELP!
Find the volume of this triangular prism.
Be sure to include the correct unit in your answer.
6 cm
9 cm
K
5 cm

Answers

Answer:

135cm^3

Step-by-step explanation:

25. The sides of the base of the square prism drawn below have been doubled, but its height has not been changed. Determine the ratio of the prism's new volume to its original volume.

A.8:1
B.2:1
C.4:1
D.16:1​

Answers

Do you have a picture to go with it

Answer:4:1

Step-by-step explanation:

What is the equation for this word problem?:
Salma has 18 cars available to rent.
Last C be the number of cars she would have left after renting R of them.
Help!!!

Answers

Answer:

equation:  C = 15 - R

C = 15 - 7

C = 8

Step-by-step explanation:

Okay first of all stan the karl pfp

Suppose that your drawer contains 8 AAA batteries but only 6 of them are good. If you randomly select 4 batteries what is the probability all 4 will work ?

Answers

Answer:

Step-by-step explanation:

[tex]P=\frac{6}{8} \times\frac{5}{7} \times\frac{4}{6} \times\frac{3}{5} =\frac{3}{14}[/tex]

Step-by-step explanation:

the probability of the 4 batterys work was %30 because if you take randomly 4 battery you take good and bad batterys and the most probability is the 4 batterys don't work or the 4 batterys work or like 1 or 2 batterys work thats why like %30 the batterys work

Write an equivalent expression for -24 + 54n.​

Answers

Answer:

30n

Step-by-step explanation:

-24+54=30×n=30n

I needed 20 more letters so ya lol

Answer:

-6 (4-9n)

Step-by-step explanation:

HELP ASAP! I will GIVE BRAINLY !! Need the whole answer please :(

Answers

Answer:

y = -1/2x + 1

Step-by-step explanation:

use 2 points to find slope, i used:  (0,1) (4,-1)

m = 1-(-1) / 0-4

m = 2/-4

m = -1/2

as seen in graph, y-intercept is 1

∴ y = -1/2x + 1

Answer:

y=-2/4x+1

Step-by-step explanation:

the slope would be rise/run and y-intercept is wherever the line crosses the y-axis

Find the area of the shape shown below. Can someone please help?

Answers

Answer:

240 units²

Step-by-step explanation:

Rectangle = 20x10=200

2 triangles = 2x1/2x4x10=40

200+40=240

Work out the value of angle x

Answers

Answer:

Its an Isosceles triangle. The two bases are equal

So

x= 180-(62+62)

x=56°.

Answer:

x = 56

Step-by-step explanation:

As you can see two angles are congruent, as the two tally marks suggest so. Therefore not only does the left angle measure 62 but also the right angle does as well. Therefore, further indicating that we are dealing with an isosceles triangle in this scenario. So you would come up with the equation 62(2) + x = 180 because all the angles together add up to get you 180 degrees. So once you say 62 times 2 to get 124 you would subtract that by 180; giving you 56 degrees for x.

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