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Feliz [49]
2 years ago
7

A rectangle is such that the length of 2 of each adjacent sides are in the ratio 1:3. A similar rectangle has 1 side of 6cm. Fin

d 2 possible values for the length of each adjacent sides.
Mathematics
1 answer:
Sliva [168]2 years ago
8 0

Answer:

18 cm ;

2 cm

Step-by-step explanation:

Length of each adjacent side = 1 :3

If 1 side = 6 ; the possible values of the adjacent side ;

That is side 2 ÷

If side 1, which is 6cm is the ratio 1 ; then side 2 = 6cm * 3 = 18 cm

If side 1, which is 6cm is the ratio 3 ; then side 2 = 6cm / 3 = 2 cm

Hence, the two Possible values of the adjacent side = 18 cm or 2 cm

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X
sergeinik [125]

Answer:

A. x = 58°

B. x = 10m

C. a = 44°

All approximated to nearest whole number.

Step-by-step explanation:

All triangles given are right angled triangles. Therefore, we would apply the trigonometry functions to solve for each missing side and angle.

Recall: SOHCAHTOA

a. Adjacent = 4.8cm,

Hypotenuse = 9cm

Angle to find =x°

Thus, we would apply the following formula:

Cos θ = Adjacent/Hypotenuse

Cos θ = 4.8/9 = 0.5333

θ = Cos-¹(0.5333) = 57.77

x ≈ 58° (to nearest whole number)

b. Opposite side = x

Hypothenuse = 40 m

Included angle = 14°

We would use:

Sine θ = opposite/hypothenuse

Sin (14) = x/40

Multiply both sides by 40

40*sin(14) = x

40*0.2419 = x

x = 9.676 = 10 m (to nearest whole number)

c. Opposite = 87mm

Adjacent = 91mm

θ = a°

We would use:

Tan θ = opposite/adjacent

Tan θ = 87/91

Tan θ = 0.9560

θ = tan-¹(0.9560)

θ = a = 43.71

a ≈ 44° (to nearest whole number)

7 0
3 years ago
12 in.<br> 10 in.<br> 16 in.
Setler79 [48]
What? what is the question?
8 0
2 years ago
Read 2 more answers
Simplify expressions using the distributive property
Zarrin [17]
9x + 27
-2y + 20
4x - 24
30x + 12xy
15x + 2 (?)

~ I’m not sure abt the last one! I’m sorry if they’re incorrect and I hoped this helps! ~
6 0
2 years ago
Read 2 more answers
Five spheres are being painted for a display at a store. If the diameter of each sphere is
ivanzaharov [21]
<h2>Hello!</h2>

The answer is:

The total area is:

TotalArea=192.4cm^{2}

<h2>Why?</h2>

To find the cloasest value to the total surface area that will be painted, we need to calculate the area of a single sphere, and then, multiply it by 5.

We know that the diameter of each sphere is 7 centimeters, so, calculating we have:

Calculating the radius we have,

diameter=2*radius\\\\radius=\frac{diameter}{2}=\frac{7cm}{2}=3.5cm

Then, calculating the area, we have:

Area=\pi radius^{2}

Area=\pi 3.5cm^{2}=38.49cm^{2}

Now that we have calculated the surface area of a single sphere, we need to calculate the area of the five spheres.

So, calculating we have:

TotalArea=5*38.48cm^{2}=192.4cm^{2}

Hence, the total area is:

TotalArea=192.4cm^{2}

Have a nice day!

4 0
2 years ago
I need a answer for this question ASAP
Tasya [4]
It would be 27% ur welx 

5 0
2 years ago
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