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3 years ago

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A man is 42 years older than his daughter and the product of their age is 420. (a) find the ages of the man and his daughter. (b

) in how many years time will the daughter age be one fourth of her father's age.

1 answer:

Misha Larkins [42]3 years ago

8 0

Answer:

don't know

Step-by-step explanation:

nt sure add together, subtract, multiply, times it by hundred(don't so this) that's if u want to fail

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Jack ran at 880 ft./min. For the first 10 min. Of the 3 mi. Race before slowing his pace to finish the race with a total time of

Nina [5.8K]

Answer:

Jack ran 704 ft/min during the second half of the race.

Step-by-step explanation:

Here the distance traveled was 3 miles, and the total elapsed time was 20 minutes. Recall that distance = rate * time, or rate = distance / time.

Find the pace (speed, rate) for the second part of the race.

Here, the total distance was 3 miles and the elapsed time 20 minutes. Jack's average speed was thus 3/20 miles/minute. Converting this to feet per minute, we get:

3 mi 5280 ft

------------ * ------------- = 792 ft/min (Jack's average speed)

20 min 1 mi

Recall that the formula for finding the average of x and y is (x + y) / 2.

(1/2)(880 ft/min + p) = 792 ft/min; find p, which represents Jack's pace for the second part of the race.

If (1/2)(880 ft/min + p) = 792 ft/min, and we mult. both sides by 2, we get:

880 ft/min + p = 1584 ft/min.

To solve this for p, subtract 880 ft/min from both sides, obtaining:

p = 704 ft/min

Jack ran 704 ft/min during the second half of the race.

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Edwin walks for 2 1/2 hours. He walks 1 2/3 miles in the first hour, 1 3/4 miles in the second hour and 1/4 of the total distanc

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An isosceles triangle has an angle that measures 38degrees. What measures are possible for the other two angles? Choose all that

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Answer:

71° and 71°.

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Step-by-step explanation:

The triangle having two sides equal along with one different side is called an isosceles triangle.

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So, Let us assume the other sides (two equal sides) of the isosceles triangle as x. As the different side is already given in the question.

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We know that,

The sum of all angles of a triangle is 180°

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So, According to the question :

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${\longrightarrow \it\qquad { \ { { 38 \: }^{ \circ} + x + x = 180{}^{ \circ} }}}$

⠀

${\longrightarrow \it\qquad { \ { { 38 \: }^{ \circ} + 2x = 180{}^{ \circ} }}}$

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${\longrightarrow \it\qquad { \ { 2x = 180{}^{ \circ} - { 38 \: }^{ \circ}}}}$

⠀

${\longrightarrow \it\qquad { \ { 2x = 142{}^{ \circ} }}}$

⠀

${\longrightarrow \it\qquad { \ { x = \dfrac{142{}^{ \circ}}{2} }}}$

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${\longrightarrow \it\qquad { \pmb { x = 71^{ \circ} }}}$

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Therefore,

The measure of the two other angles of the isosceles triangle are 71° and 71°.

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