All categories

3 years ago

How wide is a rectangular table with a length of 2/3 yard yard and an area of 1/2 square yard?

Mathematics

1 answer:

mylen [45]3 years ago

5 0

You might be interested in

An aeroplane X whose average speed is 50°km/hr leaves kano airport at 7.00am and travels for 2 hours on a bearing 050°. It then

Zigmanuir [339]

Answer:

(a)123 km/hr

(b)39 degrees

Step-by-step explanation:

Plane X with an average speed of 50km/hr travels for 2 hours from P (Kano Airport) to point Q in the diagram.

Distance = Speed X Time

Therefore: PQ =50km/hr X 2 hr =100 km

It moves from Point Q at 9.00 am and arrives at the airstrip A by 11.30am.

Distance, QA=50km/hr X 2.5 hr =125 km

Using alternate angles in the diagram:

$\angle Q=110^\circ$

(a)First, we calculate the distance traveled, PA by plane Y.

Using Cosine rule

$q^2=p^2+a^2-2pa\cos Q\\q^2=100^2+125^2-2(100)(125)\cos 110^\circ\\q^2=34175.50\\q=184.87$ km$

SInce aeroplane Y leaves kano airport at 10.00am and arrives at 11.30am

Time taken =1.5 hour

Therefore:

Average Speed of Y

$=184.87 \div 1.5\\=123.25$ km/hr\\\approx 123$ km/hr (correct to three significant figures)$

(b)Flight Direction of Y

Using Law of Sines

$\dfrac{p}{\sin P} =\dfrac{q}{\sin Q}\\\dfrac{125}{\sin P} =\dfrac{184.87}{\sin 110}\\123 \times \sin P=125 \times \sin 110\\\sin P=(125 \times \sin 110) \div 184.87\\P=\arcsin [(125 \times \sin 110) \div 184.87]\\P=39^\circ $ (to the nearest degree)$

The direction of flight Y to the nearest degree is 39 degrees.

7 0

3 years ago

Jack mows the lawns to earn money. he charges a flat fee of $20 for showing up plus $15 for each hour it takes him to mow the la

coldgirl [10]

Answer:

y = 15x + 20

Step-by-step explanation:

He charges a flat rate of $20, so any total for hours worked will have an additional $20 added to it.

The 15x represents his earnings per hour. He makes 15 per every hour worked, x represents the number of hours worked

7 0

3 years ago

Read 2 more answers

How many solutions are there to x - 2 = 5? How many solutions are there to x - 2 > 5? Explain, use complete sentences. ( 30 P

Sedbober [7]

There is only one solution on the first one since you can't get 5 any other time then it being 7.

on the other one all real numbers above 7 are answers since after x is 7 it will be greater the. 5 always.

8 0

3 years ago

Read 2 more answers

Write the standard form of the equation of a circle with radius 10 and center (9,3)

gladu [14]

Answer:

$(x-9)^{2}+(y-3)^{2} =100$

Step-by-step explanation:

The standard form formula for a circle equation is $(x-h)^{2}+(y-k)^{2} =r^{2}$ , where (h,k) represents the center of the circle, and r represents the radius.

r=10

(h,k)= (9,3)

$(x-h)^{2}+(y-k)^{2} =r^{2}$

$(x-9)^{2}+(y-3)^{2} =10^{2}\\(x-9)^{2}+(y-3)^{2} =100$

8 0

3 years ago

A rectangle has sides of length 7 in and 13 in. To the nearest degree, what angle does the diagonal make with the longer side?

Gala2k [10]

I think it’s D or maybe just maybe it’s will have to be B

7 0

4 years ago