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3 years ago

The value x = 7 is a solution to each of the following except what.

Mathematics

1 answer:

antoniya [11.8K]3 years ago

4 0

Answer:

Where are the answer choices??

Step-by-step explanation:

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An observer on top of a 50-foot tall lighthouse sees a boat at a 7° angle of depression. To the nearest foot, how far is the boa

Yuri [45]

Answer:

407.22 foot is the boat from the base of the lighthouse

Step-by-step explanation:

Given the statement: An observer on top of a 50-foot tall lighthouse sees a boat at a 7° angle of depression.

Let x foot be the distance of the object(boat) from the base of the lighthouse

Angle of depression = $7^{\circ}$

$\angle CAB = \angle DCA = 7^{\circ}$ [Alternate angle]

In triangle CAB:

To find AB = x foot.

Using tangent ratio:

$\tan (\theta) = \frac{Opposite side}{Adjacent Base}$

$\tan (\angle CAB) = \frac{BC}{AB}$

Here, BC = 50 foot and $\angle CAB =7^{\circ}$

then;

$\tan (7^{\circ}) = \frac{50}{x}$

$x = \frac{50}{\tan 7^{\circ}}$

$x = \frac{50}{0.1227845609}$

Simplify:

AB = x = 407.217321 foot

Therefore, the boat from the base of the light house is, 407.22'

5 0

2 years ago

For brainiest:):):):)::):):):)

scZoUnD [109]

Answer:

The unit rate is accurately $\frac{1}{4}$ (km/minute)

Step-by-step explanation:

(1,1/4) means that the vehicle traveled 1/4 km within 1 minute.

The unit rate for this problem is also known as the speed of the vehicle.

So to find the speed, you need to use distance over time.

---> Unit rate: $\frac{1}{4}\\$ / 1 = $\frac{1}{4}$ (km/minute)

(2,1/2) means that the vehicle traveled 1/2 km within 2 minutes.

Same process:

---> Unit rate: $\frac{1}{2}$ / 2 =

Because of this, the unit rate is accurately $\frac{1}{4}$ (km/minute)

8 0

2 years ago

PART A: Mrs. konsdorf claims that angle R is a right angle.Is Mrs. konsdorf correct? explain your reasoning PART B: if T is trab

Anna007 [38]

Answer:

Part A: Angle R is not a right angle.

Part B; Angle GRT' is a right angle.

Step-by-step explanation:

Part A:

From the given figure it is noticed that the vertices of the triangle are G(-6,5), R(-3,1) and T(2,6).

Slope formula

$m=\frac{y_2-y_1}{x_2-x_1}$

The product of slopes of two perpendicular lines is -1.

Slope of GR is

$\text{Slope of GR}=\frac{1-5}{-3-(-6)}=\frac{-4}{3}$

Slope of RT is

$\text{Slope of RT}=\frac{6-1}{2-(-3)}=\frac{5}{5}=1$

Product of slopes of GR and RT is

$\frac{-4}{3}\times 1=\frac{-4}{3}\neq -1$

Therefore lines GR and RT are not perpendicular to each other and angle R is not a right angle.

Part B:

If vertex T translated by rule

$(x,y)\rightarrow(x-1,y-2)$

Then the coordinates of T' are

$(2,6)\rightarrow(2-1,6-2)$

$(2,6)\rightarrow(1,4)$

Slope of RT' is

$\text{Slope of RT'}=\frac{4-1}{1-(-3)}=\frac{3}{4}$

Product of slopes of GR and RT' is

$\frac{-4}{3}\times \frac{3}{4}=-1$

Since the product of slopes is -1, therefore the lines GR and RT' are perpendicular to each other and angle GRT' is a right angle.

6 0

2 years ago

It’s a test question.

marissa [1.9K]

Answer:

A # is odd

Step-by-step explanation:

Hypothesis-----> conclusion

4 0

2 years ago

How do i get rid of the stupld

labwork [276]

Answer:

wdym get rid of the "stupld"

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers