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3 years ago

the lenght of car is 4.2m correct to 1 decimal place write down upper bound and the lower of bound of the lenght of this car ?

Mathematics

1 answer:

dusya [7]3 years ago

5 0

Answer:

The upper pound is 4.25 m and the lower bound is 4.15 m

4.15 m ≤ 4.2 m < 4.25 m

Step-by-step explanation:

Let us solve the question

∵ The length of the car corrected to 1 decimal place

→ 1 decimal place means tenth

∴ It corrected to the tenths place which is 0.1

→ Divide it by 2

∵ 0.1 ÷ 2 = 0.05

∴ The limit is 0.05 m

→ To get the lower bound subtract 0.05 from the length of the car

∵ The length of the care is 4.2 m

∴ The lower bound = 4.2 - 0.05

∴ The lower bound = 4.15 m

→ To get the upper bound add 0.05 to the length of the car

∵ The length of the care is 4.2 m

∴ The upper bound = 4.2 + 0.05

∴ The upper bound = 4.25 m

∴ 4.15 m ≤ 4.2 m < 4.25 m

∴ The upper pound is 4.25 m and the lower bound is 4.15 m

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If angle EFH(5x+1)’ angle HFG(62 degrees) and angle EFG (18x+11) find each measurement

zloy xaker [14]

Answer:

∠EFH = 21°

∠HFG = 62°

∠EFG = 83°

Step-by-step explanation:

The diagram showing the angles has been attached to this response.

From the diagram, it can be deduced that;

Angle EFG = angle EFH + angle HFG

=> ∠EFG = ∠EFH + ∠HFG -------------------(i)

From the question:

∠EFH = (5x + 1)° -------------(ii)

∠HFG = 62° -------------(iii)

∠EFG = (18x + 11)° -------------(iv)

Substitute these values into equation (i) as follows;

(18x + 11) = (5x + 1) + 62

=> 18x + 11 = 5x + 1 + 62

Collect like terms and solve for x

18x - 5x = 1 + 62 - 11

13x = 52

x = 4

Now, to get each measurement, substitute x = 4 into each of equations (ii) - (iv)

∠EFH = (5x + 1)°

∠EFH = (5(4) + 1)°

∠EFH = (20 + 1)°

∠EFH = 21°

∠HFG = 62° [Does not depend on x]

∠EFG = (18x + 11)°

∠EFG = (18(4) + 11)°

∠EFG = (72 + 11)°

∠EFG = 83°

Conclusion:

∠EFH = 21°

∠HFG = 62°

∠EFG = 83°

8 0

3 years ago

4/15 is equal to what

Scilla [17]

Some equivalent fractions of 4/15 are: 8/30 = 12/45 = 16/60 = 20/75 = 24/90 Hope this helps

8 0

3 years ago

Read 2 more answers

What binomial do you have to add to the polynomial:

marshall27 [118]

Answer:

a) $-2x^2+5xy$

b) $-3y^2+5xy$

Step-by-step explanation:

Part (a)

Given polynomial : $2x^2+3y^2-5xy+1$

The binomial that should be added to the given polynomial to get a polynomial that does not contain the variable x is:

$-2x^2+5xy$

$(2x^2+3y^2-5xy+1)+(-2x^2+5xy)$

$=2x^2+3y^2-5xy+1-2x^2+5xy$

$=2x^2-2x^2+3y^2-5xy+5xy+1$

$=3y^2+1$

Part (b)

Given polynomial : $2x^2+3y^2-5xy+1$

The binomial that should be added to the given polynomial to get a polynomial that does not contain the variable y is:

$-3y^2+5xy$

$(2x^2+3y^2-5xy+1)+(-3y^2+5xy)$

$=2x^2+3y^2-5xy+1-3y^2+5xy$

$=2x^2+3y^2-3y^2-5xy+5xy+1$

$=2x^2+1$

7 0

2 years ago

I literally don't know how to figure this out i haven't done this in ages. Help please

Hitman42 [59]

We begin with an unknown initial investment value, which we will call P. This value is what we are solving for.

The amount in the account on January 1st, 2015 before Carol withdraws $1000 is found by the compound interest formula A = P(1+r/n)^(nt) ; where A is the amount in the account after interest, r is the interest rate, t is time (in years), and n is the number of compounding periods per year.

In this problem, the interest compounds annually, so we can simplify the formula to A = P(1+r)^t. We can plug in our values for r and t. r is equal to .025, because that is equal to 2.5%. t is equal to one, so we can just write A = P(1.025).

We then must withdraw 1000 from this amount, and allow it to gain interest for one more year.

The principle in the account at the beginning of 2015 after the withdrawal is equal to 1.025P - 1000. We can plug this into the compound interest formula again, as well as the amount in the account at the beginning of 2016.

23,517.6 = (1.025P - 1000)(1 + .025)^1
23,517.6 = (1.025P - 1000)(1.025)

Divide both sides by 1.025

22,944 = (1.025P - 1000)

Add 1000 to both sides

23,944 = 1.025P

Divide both by 1.025 for the answer

$22,384.39 = P. We now have the value of the initial investment.

8 0

2 years ago

What's 78 x 100? someone help me im dumb.

Bumek [7]

Answer:

7800

Step-by-step explanation:

5 0

2 years ago