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3 years ago

The bakers fits 26 rolls on to a pan that measures 1 5/8ft2. How many square feet does the baker use for each roll

Mathematics

1 answer:

mihalych1998 [28]3 years ago

6 0

Answer: 1/16 ft²

Step-by-step explanation:

The baker put 26 rolls into a pan that has an area of 1⁵/₈ ft².

Each roll is therefore taking up a space of:

= Area/ Number of rolls

Convert the fraction to an improper fraction:

1 ⁵/₈ = 13/8

= 13/8 ÷ 26

= 13/8 * 1/26

= 13/208

= 1/16 ft²

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A biologist tags 25 birds with a band on their foot and lets them go back into the wild. The next year 100 total birds are captu

mestny [16]

Answer:

We can estimate a population of 500 birds.

Step-by-step explanation:

We can estimate the total bird population using a rule of three with the information given:

If we find 5 birds with the foot band among 100 birds captured, how many birds there are in total if inicially we put foot bands in 25 birds?

5 birds with foot band -> 100 birds captured

25 birds with foot band -> X total birds

X * 5 = 25 * 100

X = 25 * 100 / 5 = 500 birds

We can estimate a population of 500 birds.

7 0

3 years ago

A landscape architect is designing a pool that has this top view<br>

denpristay [2]

Answer:

what view?

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Step-by-step explanation:

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2 years ago

A rhombus has four 6-inch sides and two 120-degree angles. From one of the vertices of the obtuse angles, the two latitudes are

nikitadnepr [17]

Answer:

Area(A)=Area(C)= $9 in^{2}$

Area(B)= $13.2 in^{2}$

Step-by-step explanation:

We begin with finding the angles a and b that from the drawing attached you can see that a=b.

Now, the sum of the internal angles of a rhomboid is equal to 360 degrees, with that we have:

120+120+a+b=360

240+2a=360

2a=120

a=60=b

Next, in the image you can see that the lines coming from the angle at the top 120 degrees vertex, divide the opposite sides by half, thus making two triangles with one side of 6 in and another of 3 in.

We can say from the drawing as well:

Area(A)+Area(B)+Area(C)=Area(rhomboid)

But, we can also say that Area(A)=Area(C)

So, starting with Area(A)

Area(A)=Area(triangle)= $\frac{b*h}{2}$ = $\frac{6*3}{2}$ = $9 in^{2}$

We can then calculate the area B, a rhomboid, or better, take the Total area of the figure and subtract the area of the two triangles.

Area(B)=Area(rhomboid)-Area(A)-Area(C)

Area(rhomboid)=b*h where b=6in and h is the perpendicular distance from the base to the top.

$h=[tex]6*cos(30)=5.20in$ The 30 degrees come from: 120-30-60=30, since the latitudes split the 120 angle in two equal parts and one that is the half of the obtuse angle.