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3 years ago

A summer camp counselor wants to find a length x in feet across a lake as represented in the sketch to the left

Mathematics

1 answer:

Nata [24]3 years ago

8 0

The question is incomplete and without a picture. I found similar question as follows:

A summer camp counselor wants to find a length, x, in feet, across a lake as represented in the sketch above. The lengths represented by AB, EB, BD and CD on the sketch were determined to be 1800 feet, 1400 feet, 700 feet, and 800 feet, respectively. Segments AC and DE intersect at B, and the angle AEB and the angle CBD have the same measure. What is the value of x?

Answer:

1600ft

Step-by-step explanation:

Angle AEB and CBD is the same value.

Referring to the picture, since ABC and DBE are straight lines and crosses each other at B, the angle DBC and EBA are equal.

Since we have 2 equal angle, the third angle must be the same as well.

Therefore we can conclude that both ABE and CBD are similar triangle but with different factor with;

AB similar to BC

EB similar to BD

AE similar to CD

To find the factor between ABE and CBD,

EB / BD = 1400 / 700 = 2

So x, which is AE must be a factor of 2 to CD

AE = 2*800 =1600ft

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Problem PageQuestion Tony estimated the height of his office building to be 45ft. The actual height of his office building is 41

Leona [35]

Answer:

The absolute error is 4 ft and percent error of Tony's estimate is 9.8%.

Step-by-step explanation:

Given:

Tony estimated the height of his office building to be 45ft. The actual height of his office building is 41ft.

Now, to find the absolute error and the percent error of Tony's estimate.

The height of his office building = 45ft.

The actual height of his office building = 41 ft.

So, to get the absolute error:

The height of his office building - the actual height of his office building

$45\ ft-41\ ft\\=4\ ft.$

The absolute error = 4 ft.

Now, to get the percent error of Tony's estimate:

$\frac{4}{41} \times 100$

$=0.0975\times 100$

$=9.75\%.$

Percent error of Tony's estimate rounding to nearest tenth = 9.8%.

Therefore, the absolute error is 4 ft and percent error of Tony's estimate is 9.8%.

5 0

3 years ago

PLEASE HELP ME ASAP!!!! My entire grade depends on these questions and I need to show the work that go me there

Marizza181 [45]

Answer:

Answers are in bold

Step-by-step explanation:

Part 1A

Use the Zero Product Property to find the x-intercepts:

0=-(x+4)(x-1)

0=(x+4)(x-1)

0=(x+4)

-4=x

x=-4

0=(x-1)

1=x

x=1

So the x-intercepts are x=-4 and x=1 which is also (-4,0) and (1,0)

For the y-intercepts, plug in x=0:

f(x)=-(0+4)(0-1)

f(x)=(-4)(-1)

f(x)=4

So the y-intercept is y=4 which is also (0,4)

Part 1B

In general, the axis of symmetry is equal to x=h in the equation y=(x-h)^2+k

For a parabola, the axis of symmetry is equal to x=-b/2a, so we expand the given equation and then plug in the values of "a" and "b" to get the axis of symmetry:

f(x)=-(x+4)(x-1)

f(x)=-(x^2+3x-4)

f(x)=-x^2-3x+4

So now we know a=-1 and b=-3, therefore we can plug them in:

x=-b/2a

x=-(-3)/2(-1)

x=3/-2

x=-3/2

x=-1.5

So the equation of the axis of symmetry is x=-1.5

Part 1C

We'll use the equation x=-b/2a to get the x-coordinate for the vertex (which we already know is x=-1.5), then plug in that value of x in the original equation to get the y-coordinate for the vertex:

f(x)=-(-1.5+4)(-1.5+1)

f(x)=-(2.5)(-0.5)

f(x)=-(-1.25)

f(x)=1.25 <-- y-coordinate

So the coordinates of the vertex are (-1.5,1.25)

Part 1D

See the image below

I'll let someone else do the last 4 questions as I am unable to answer them.

8 0

3 years ago

In ΔEFG, the measure of ∠G=90°, FG = 5.1 feet, and GE = 7.7 feet. Find the measure of ∠F to the nearest tenth of a degree.

BlackZzzverrR [31]

Answer:

∠F=56.5⁰

Step-by-step explanation:

It forms a right angled triangle.

The base of the triangle is given as 7.7 feet

The perpendicular of the triangle is given as 5.1 feet.

Find ∠E where

tan∠E=perpendicular/base

tan∠E=7.7/5.1

∠E=33.518

Find ∠F by substracting ∠G and ∠E from 180,

∠F=180-90-33.518

∠F=56.482

Round off to nearest tenth

∠F=56.5

8 0

3 years ago

A school held a jump roping contest, Diego jumped rope for 20 minutes . Lin jumped rope for 24 minutes. What percentage of Diego

Elden [556K]

Answer:

Diego's time is 75% of Lin's time.

Step-by-step explanation:

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3 years ago

Read 2 more answers

If 2/3 x - 1=4, then x =?

Olegator [25]

X = 7.5
or
x = 7 1/2

6 0

3 years ago