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Schach [20]
1 year ago
7

If x varies jointly as y and z, and x = 8 when y = 4 and z = 9, find z when x = 16 and y = 6. 3

Mathematics
2 answers:
Ghella [55]1 year ago
7 0

Answer:

Joint variation says that:

if x \propto y and x \propto z

then the equation is in the form of:

x = kyz, where, k is the constant of variation.

As per the statement:

If x varies jointly as y and z

then by definition we have;

x=k(yz)           ......[1]

Solve for k;  

when x = 8 , y=4 and z=9

then

Substitute these in [1] we have;

8=k(4 \cdot 9)

⇒8 = 36k

Divide both sides by 36 we have;

\frac{8}{3}=k

Simplify:

k = \frac{2}{9}

⇒x = \frac{2}{9}yz

to find z when x = 16 and y = 6

Substitute these value we have;

16 = \frac{2}{9} \cdot 6 \cdot z

⇒16 = \frac{12}{9}z

Multiply both sides by 9 we have;

144 = 12z

Divide both sides by 12 we have;

12 = z

or

z = 12

Therefore, the value of z is, 12

Firdavs [7]1 year ago
4 0

Answer:

z = 12.7

Step-by-step explanation:

x = kyz

Where K is the constant of proportionality. We will be finding this

When x = 8 y =4 z = 9

K = 8/4 x 9 = 8/36

K = 0.2

To find z, when x = 16 and y = 6.3

Z = x/ky = 16/ 0.2x6.3 = 12.7

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M∠1=45° and m∠3=65°
7nadin3 [17]

Answer:

In Right Δ ABC with right angle B,

∠A=(3 x -8)°, ∠B=90°, ∠C=(x-2)°

∠A+∠B+∠C=180°[∠ sum property of triangle]

3 x-8+90 + x-2=180

Adding and subtracting like terms

4 x-10+90=180

4 x+80=180

4 x=180-80

4 x=100

x=100/4

x=25°

∠A=3×25-8=75-8=67°




6 0
2 years ago
Read 2 more answers
Which explains why Ramone’s equation has no solution?
kvv77 [185]

The matrices must be the same size

Good luck

8 0
2 years ago
Read 2 more answers
The winning long jump at a track meet was 27 ft 10 in. Convert this distance to meters. Round to the nearest hundredth.
Allushta [10]

1 inch = 2.54 cm

27 feet 10 inches = 27 * 12 + 10 = 334 inches.

334 inches = 334 inches * 2.54 cm / inch = 848.36 cm

1 meter = 100 cm

x  = 848.36 cm

Cross multiply

848.36 cm * 1 meter = 100 cm * x   Divide both sides by 100

848.36 cm* meter/ 100 cm = x

8.48 meter = x

Answer 8.48 meters.


6 0
1 year ago
On this map, Oxford Street is perpendicular to_______ , and Rosewood Street is perpendicular to ________. Assume that the street
melamori03 [73]
Hi there!

We are looking for perpendicular angles, which means the angle between the streets is 90 degrees. So, each time we need to find the street that intersects the given street with a 90 degree angle.

On this map, Oxford Street is perpendicular to Waterloo St., and Rosewood Street is perpendicular to Oak St..

The answers are (in correct order): Waterloo St. and Oak St..
~ Hope this helps you!
6 0
2 years ago
Megan spent $9.85 on ingredients to make one pan of cereal bar and has a length of 24 inches and a width of 16 inches. Megan nee
masya89 [10]

Answer:

96 bars = 10cent each (dime/pence etc) 10.2604166667 each

Step-by-step explanation:

if the cereal bars are accounted for 24inch x 4inch and 4inch lengths seem appropriate length, Then we can account for 1inch x 16 inch widths being 1'' wide each. 6 x 16 = 96 and 96/388 = 4 being the length.

Extended: Area of pan 24 x 16 = 240+148= area of 388in^2

96 bars costing ($9.85) 985/96

3 0
2 years ago
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