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dimulka [17.4K]
4 years ago
9

Seth can build a doghouse in 6 hours. Violet can build a doghouse in 5 hours. How long will it take to build the dog house if th

ey work together?
Mathematics
1 answer:
Sliva [168]4 years ago
4 0

Answer:

It will take a total of 2.73 hours if they worked together

Step-by-step explanation:

Here, we are seeking to calculate the joint rate.

Let the amount of work to be done is say x

Seth’s rate will be x/6 , while violet’s rate will be x/5

Their joint rate will be ;

x/6 + x/5 = 11x/30

The time it will take them to build the house together will be equal to the amount of work divided by the joint rate.

That will be x divided by 11x/30

= x * 30/11x

= 30/11 hours which is Approximately 2.73 hours

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Each cone of the hourglass has a height of 18 millimeters . the total height of the sand within the top portion of the hour glas
statuscvo [17]
Let

Vco------------------- >Volume cone
Vcy------------------ >Volume cylinder 
r= 8mm
hco----------- > height of cone=18 mm
hcy------------ > height of cylinder =54-18=36 mm

then

Vco=π*r² *hco/3--------- > π*8² *18/3=π*384 mm³
Vcy=π*r² *hcy--------- > π*8² *36=π*2304 mm³

the total cubic millimeters of sand=Vco+Vcy=π*384+π*2304=π*2688

if 10π cubic millimeters --------------------- > 1 seg
π*2688--------------------------------- X

X=π*2688/10π=268.8 seg

the answer is 268.8 seg
5 0
3 years ago
Where can the lines containing the altitudes of an obtuse triangle intersect?
yawa3891 [41]
Answer: Choice C) III only

As shown in the attached image, the altitudes are lines that are perpendicular to the sides of the triangle and they go through the opposite vertex. In the example shown, the orthocenter is the result of intersecting the altitudes. The orthocenter is outside the obtuse triangle. It will never be on the triangle or on the inside of the triangle.

4 0
4 years ago
Find the slope of the line
mel-nik [20]

Answer:

Undefined or No solution

Step-by-step explanation:

Because this line is a straight, vertical line, it means that the slope is undefined, or no solution. Any time you see a straight line going up and down, this will be true. However, if you see a horizonal line, this will not be true.

4 0
3 years ago
Fill in the blank. a surveyor measures the angle of elevation to a point on a mountain to be 18. the point on the mountain is ho
aleksandr82 [10.1K]
Use the tangent ratio here: tan(18) = x / 4...4 tan(18) = x, and x = 1.30
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3 years ago
Read 2 more answers
= (4x3 + 7x2 – 2) (2x2 – 3x + 8)<br> how to simplify this?
valentinak56 [21]

Answer:

24 ( 12 -3x)

Step-by-step explanation:

(4x3 + 7x2 – 2) (2x2 – 3x + 8)

(12 + 14 - 2) (4 - 3x + 8)

(26-2) (12 - 3x)

24 (12 -3x)

3 0
3 years ago
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