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4 years ago

Pair of linear equation in 2 variables graphical method 2x-y+1=0 x-2y+8=0 Pls help

Mathematics

1 answer:

son4ous [18]4 years ago

3 0

Step-by-step explanation:

2x-y= -1

x-2y= -8

eqn2*2=2x-4y= -16

eqn3- eqn1

-3y=- -15 y=5

2x-5= -1

2x=4 x=2

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Mr.Ward runs a lot. He ran 45 minutes each day, 5 days each week , for 16 weeks . In that time, he ran 450 miles. What was his a

Savatey [412]

Answer:

7.5 miles per hour.

Step-by-step explanation:

We have been given that Mr. Ward runs a lot. He ran 45 minutes each day, 5 days each week, for 16 weeks.

First of all, we will find time for that Mr. Ward ran in 16 weeks.

We will multiply 5 by 16 to find number of days for that Mr. Ward ran and then we will multiply the result by 45 minutes to find the time.

$\text{Time for that Mr. Ward ran in 16 weeks}=16\times 5\times 45\text{ minutes}$

$\text{Time for that Mr. Ward ran in 16 weeks}=3600\text{ minutes}$

Now, we will divide 3600 minutes by 60 minutes to convert time into hours as:

$\text{Hours}=\frac{3600}{60}=60$

Now, we will divide 450 miles by 60 hours to find Mr. Ward's average speed as:

$\text{Mr. Ward's average speed}=\frac{450\text{ miles}}{\text{60 hours}}$

$\text{Mr. Ward's average speed}=\frac{7.5\text{ miles}}{\text{ Hour}}$

Therefore, Mr. Ward's average speed in 7.5 miles per hour.

7 0

3 years ago

In the diagram, TC represents a vertical building. The points, A and B, are on the same level as the foot C of the building such

Alenkinab [10]

Answer:

(a) The height of the building is 60.06 m

(b) The distance AB is 139.43 m

Step-by-step explanation:

The given parameters are

Given that segment BT = segment AT + 29

By trigonometric ratios, we have;

cos∠ATC = CT/AT

cos∠BTC = CT/BT

Therefore, we have;

cos(40°) = CT/AT.................................(1)

cos(56°) = CT/BT = CT/(AT + 29).....(2)

cos(56°) = CT/(AT + 29)......................(3)

From equation (1)

CT = AT×cos(40°)

From equation (3)

AT×cos(56°) + 29 × cos(56°) = CT

Therefore;

AT×cos(40°) = AT×cos(56°) + 29 × cos(56°)

AT×cos(40°) - AT×cos(56°) = 29 × cos(56°)

AT×(cos(40°) - cos(56°)) = 29 × cos(56°)

AT = 29 × cos(56°)/(cos(40°) - cos(56°)) = 78.4 m

TC = CT = AT×cos(40°) = 78.4×cos(40°) = 60.06 m

The height of the building = 60.06 m

(b) BT = AT + 29 = 78.4 m + 29 m= 107.4 m

AB = AT×sin(∠ATC ) + BT×sin(∠BTC) = 78.4×sin(40°) + 107.4×sin(56°) = 139.43 m

The distance AB = 139.43 m.

6 0

3 years ago

I need help thanks.

melomori [17]

If this shape is trapezium
m (<D) = m (<C)
since AB parallel to CD
m (<C) + m (<A) = 180°
m (<C) = 180 - 125 = 55°
m (<D) = 55°
mark me as brainlest, please

3 0

3 years ago

How do you do a and d?

madam [21]

Answer:

a. 440

b. 100

c. 1800

d. 320

Step-by-step explanation:

a. $7000 is 3000 +4000 so this falls in two pay ranges.

0.04(3000) + 0.08(4000) = 120+320 = $440

b. $2500 is lower than 300 so it falls in only one pay range.

0.04(2500) = $100

c. 12,000 is greater than both 3000 and 8000 so this falls in the last pay range.

0.15(12000) = $1800

d. $5500 is 3000+2500 so this falls in two pay ranges.

0.04(3000) + 0.08(2500) = 120+200 = $320

4 0

3 years ago

Cho hình thang cân ABCD (AB//CD) có góc D = 80 độ . Tính góc B ?

Alexandra [31]

Answer:

120 độ

Step-by-step explanation:

6 0

3 years ago