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3 years ago

The mass of a jar is 1.9 kg. What is the total mass of 13 jars (round your answer to the nearest hundredth

Mathematics

1 answer:

mariarad [96]3 years ago

3 0

Answer:

24.7 kg

Step-by-step explanation:

1 jar = 1.9 kg
13 jars = x

1/13 = 1.9/x Cross multiply

1*x = 13 * 1.9 Multiply the right

x = 24.7 kg Answer

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3 years ago

Find the missing y-coordinate that makes the two triangles congruent. Triangle ABC: A(8,4), B(2,6), C(5, 0) Triangle MNO: M(7,4)

Zolol [24]

Answer:

y = 8

Step-by-step explanation:

Two triangles are said to be congruent if all the three sides and three angles of both triangles are equal.

The distance between two points on the coordinate plane is given as:

$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\$

In triangle ABC:

$|AB|=\sqrt{(2-8)^2+(6-4^2)}=\sqrt{40} =2\sqrt{10}\\\\|AC|=\sqrt{(5-8)^2+(0-4)^2}=5\\\\|BC|=\sqrt{(5-2)^2+(0-6)^2 }=\sqrt{45}$

In triangle MNO:

$|MN|=\sqrt{(1-7)^2+(2-4^2)}=\sqrt{40} =2\sqrt{10}\\\\|MO|=\sqrt{(4-7)^2+(y-4)^2}\\\\|NO|=\sqrt{(4-1)^2+(y-2)^2 }$

Since triangle ABC and triangle MNO are congruent, hence:

|AB| = |MN| = 2√10, |AC| = |MO| = 5, |BC| = |NO| = √45

$|AC|=|MO|=5\\\\\sqrt{(4-7)^2+(y-4)^2}=5\\\\(4-7)^2+(y-4)^2=25\\\\9 +(y-4)^2=25\\\\(y-4)^2=16\\\\square\ root\ of\ both\ sides:\\\\y-4=4\\\\y=4+4\\\\y=8$

Hence O = (4, 8)

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3 years ago

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WITCHER [35]

Answer:

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Step-by-step explanation:

S - 1.7x = 5.2

x = 2006 - 1998 = 8

S - 1.7(8) = 5.2

S - 13.6 = 5.2

S = 5.2 + 13.6

S = 18.8

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4 years ago

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Mr. Jones jogs the same route each day. The amount of time he jogs is inversely proportional to his jogging rate.

german

Answer is option C

Mr. Jones jogs the same route each day. The amount of time he jogs is inversely proportional to his jogging rate.

$time= \frac{k}{rate}$

k is the constant of proportionality

We check with each option and identify which option gives us same K value

(a) 4 mph for 2.5 hours and 6 mph for 3.75 hours

$2.5= \frac{k}{4}$ so k = 10

$3.75= \frac{k}{6}$ so k = 22.5

K values are not same

(b) 3 mph for 2 hours and 4.5 mph for 3 hours

$2= \frac{k}{3}$ so k = 6

$3= \frac{k}{4.5}$ so k = 13.5

K values are not same

$2.5= \frac{k}{4}$ so k = 10

$2= \frac{k}{5}$ so k =10

K values are same .

Answer is option C

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3 years ago