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Naddik [55]
3 years ago
7

Jordan builds a miniature catapult for the science fair. He documents how far the catapult can throw a small rock for his report

. Jordan measures the longest distance as 8 yards. He needs to convert the measurement to meters for his science fair report. How many meters did the catapult throw the rock? Round your answer to the nearest tenth. The catapult threw the rock meters.
Mathematics
2 answers:
pychu [463]3 years ago
6 0

Answer:

7.3

Step-by-step explanation:

for e2020 users

GrogVix [38]3 years ago
3 0

The rate to convert yards to meters is

1 \text{ yard}=0.9144\text{ meters}

So, if you multiply both sides by 8, you get

8 \text{ yards} = 8\times 0.9144 = 7.3152 \text{ meters}

To round the answer to the nearest tenth, we need to choose between 7.3 and 7.4. Since the hundreths digit is 1, which is less than 5, 7.3 is nearest to 7.3152 than 7.4, so the correct answer is 7.3

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the polynomial ky^3+3y^2-3 and 2y^3-5y+k when divided by (y-5) leave the same remainder in each case. Find the value of k.
marshall27 [118]

Answer:

k=\frac{153}{124}

Step-by-step explanation:

According to the Remainder Theorem; when P(y) is divided by y-a, the remainder is p(a).

The first polynomial is :

p(y)=ky^3+3y^2-3

When p(y) is divided by y-5, the remainder is

p(5)=k(5)^3+3(5)^2-3

p(5)=125k+75-3

p(5)=125k+72

When the second polynomial:

m(y)= 2y^3-5y+k is divided by y-5.

The remainder is;

m(5)= 2(5)^3-5(5)+k

m(5)= 225+k

The two remainders are equal;

\implies 125k+72=225+k

\implies 125k-k=225-72

\implies 124k=153

k=\frac{153}{124}

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