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2 years ago

Solve for c in terms of a and b a=b+c

Mathematics

1 answer:

Rina8888 [55]2 years ago

7 0

Answer:

A - B = C

Step-by-step explanation:

you have to isolate C, so in order to do that you need to subtract the positive B from both sides. so you are left with just C on the right and A - B on the left.

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What is the relationship between area in the scale drawing and area on the on the actual tennis court if the scale is 1in.: 5ft.

sveticcg [70]

Given:

Length of the scale = 15.6 in.

Width of the scale = 7.2 in.

Scale of drawing = 1 in. : 5ft.

To find:

The ratio of area of the actual court to the area of the drawing (as a unit rate).

And to check whether it is the same as the ratio of length of the actual court to the length of the drawing.

Step-by-step explanation:

We have,

1 in. = 5ft.

Now, using this scale we get

15.6 in. = (15.6 × 5) ft =78 ft.

7.2 in. = (7.2 × 5) ft = 36 ft.

So, the actual length and width of tennis court are 78 ft and 36 ft respectively.

Area of actual tennis court is

$Area=length\times width$

$Area=78\times 36$

$Area=2808\text{ ft}^2$

The area of drawing is

$Area=15.6\times 7.2$

$Area=112.32\text{ in.}^2$

Now, ratio of area of the actual court to the area of the drawing (as a unit rate) is

$\dfrac{2808}{112.32}=\dfrac{25}{1}=25:1$

Ratio of area is 25:1 and ratio of length is 5:1 both area not same.

Therefore, the ratio of area of the actual court to the area of the drawing (as a unit rate) is 25:1.

7 0

3 years ago

A blimp is 1600 meters high in the air and measures the angles of depression to two stadiums to the east of the blimp. if those

Sonja [21]

The two stadiums are 2,871 meters

A blimp = point A

stadium 1 = point B

stadium 2 = point C

height of the blimp , AD = 1600

depression angle of stadium 1 , ∠y = 71.7°

depression angle of stadium 2 , ∠x = 25.2°

distance between the two stadiums = d

So, it forms 2 triangles ABD and ACD,

Using the trigonometric ratios,

tan θ = Altitude / Base

DC = AD × tan (90° - x)

= 1600 × tan( 90° - 25.2° )

= 1600 × cot(25.2°)

= 1600 × 2.13

DB = AD × tan (90° - y)

= 1600 × tan( 90° - 71.7° )

= 1600 × cot(71.7°)

= 1600 × 0.33

∴ d = DC - DB

= 1600 * [ tan( 90° - 25.2° ) - tan( 90° - 71.7° ) ]

= 2,871 meters

To learn more about angle of depression from the given link

brainly.com/question/9723082

#SPJ4

5 0

2 years ago

Given: ∠ A = ∠ C, E is the midpoint of AC<br> Prove: △AEB △CED

bija089 [108]

Answer:

Step-by-step explanation:

3.AE = CE E is the midpoint of AC

4. ∠AEB = ∠CED Vertically opposite angles are equal

5. ΔAEB = ΔCED ASA congruence

4 0

3 years ago

Please help!!! I don't know how to do this

saveliy_v [14]

Answer:

domain = all real numbers

Step-by-step explanation:

domain is the x axis

its asking what it goes to but if they have arrows then forever

5 0

2 years ago

K/13 = 0.6/0.5 what does that equal

photoshop1234 [79]

$\frac{k}{13}$ = $\frac{0.6}{0.5}$ equals k = 15.6

First, simplify $\frac{0.6}{0.5}$ to 1.2. Your problem should look like: $\frac{k}{13}$ = 1.2
Second, multiply both sides by 13. Your problem should look like: k = 15.6, which is the answer.

5 0

3 years ago