Ask question

Ask question

All categories

2 years ago

13

Door panels are stored in the yard on pallets holding 20 panels. The yard currently has 5 complete pallets and 20 additional pal

lets will be received today. One customer ordered 2 pallets and another ordered 10 pallets for tomorrow. How many door panels will be left after the two customers orders are completed

1 answer:

Sladkaya [172]2 years ago

5 0

At the end of tomorrow, inventory of 5+20 pallets will have been used to fill orders for 2+10 pallets. That leaves inventory on hand of

... 25 - 12 = 13 pallets

Since each holds 20 panels, that amounts to

... (13 pallets) × (20 panels/pallet) = 260 panels . . . . remaining

You might be interested in

Round each weight to the nearest whole gram. Then estimate the total weight of the coins in Allen’s hand. 2.500,5.000,2.268,5.67

irina1246 [14]

So the rounded weights would be 3, 5, 2, 6, and 11, as when you round, you look at the number to the right of the one you want to round to. If it's 5 or larger, you add one to the spot you're rounding to, and make the rest of the numbers after into zeroes. If it's below 5, just change the ones after the one you want to round to into zeroes and don't add one.

Then for the estimating of the weight, you would add them together. 3+5+2+6+11. That would equal 27, so the estimate weight is 27 grams.

8 0

2 years ago

In ΔGHI, the measure of ∠I=90°, IG = 6.8 feet, and HI = 2.6 feet. Find the measure of ∠G to the nearest degree.

Luda [366]

Answer:

$\angle G=20.8\approx 21^{\circ}$

Step-by-step explanation:

Given: In ΔGHI, $\angle I$ =90°, IG = 6.8 feet, and HI = 2.6 feet

To find: $\angle G$

Solution:

Trigonometry defines relationship between the sides and angles of the triangle.

For any angle $\theta$ ,

$tan\theta$ = side opposite to $\theta$ /side adjacent to $\theta$

In ΔGHI,

$tan G=\frac{HI}{GI}$

Put $HI=2.6 \,\,feet\,,\,GI=6.8\,\,feet$

So,

$tan G=\frac{2.6}{6.8}=0.38$

Therefore, $\angle G=20.8\approx 21^{\circ}$

3 0

2 years ago

Louise begins factoring the polynomial, which has four terms.

ad-work [718]

Louise wants to factorize completely the given polynomial $4x^{3}+12x^{2}+5x+15$

Grouping first, second terms together and third, fourth terms together

= $4x^{3}+12x^{2}+5x+15$

Taking $4x^{2}$ common from first and second terms of the given expression and taking 5 common from the third and fourth terms.

= $=4x^{2}(x+3)+5(x+3)$

Taking (x+3) common from the given expression,

= $=(4x^{2}+5)(x+3)$ is the completely factored form.

5 0

2 years ago

For circle O, and m∠ABC = 55°. In the figure, ∠_____ and ∠____ have measures equal to 35°.

luda_lava [24]

Answer:

In the figure ∠ABO and ∠BCO have measures equal to 35°.

Step-by-step explanation:

<u><em>The complete question is</em></u>

For circle O, m CD=125° and m∠ABC = 55°

In the figure<____, (AOB, ABO, BOA) and <_____ (BCO, OBC,BOC) have measures equal to 35°

The picture in the attached figure

step 1

Find the measure of angle COB

we know that

$m\angle COB=arc\ CD$ ----> by central angle

we have

$arc\ CD=125^o$

therefore

$m\angle COB=125^o$

step 2

we know that

AB is a tangent to the circle O at point A

so

ABC and ABO are right triangles

In the right triangle ABC

Find the measure of angle BCA

Remember that

$m\angle BCA+m\angle\ ABC=90^o$ ---> by complementary angles in a right triangle

we have

$m\angle ABC=55^o$

substitute

$m\angle BCA+55^o=90^o$

$m\angle BCA=90^o-55^o=35^o\\$

step 3

In the triangle BCO

Find the measure of angle CBO

we know that

$m\angle CBO+m\angle COB+m\angle BCO=180^o$ ---> the sum of the interior angles in any triangle must be equal to 180 degrees

we have

$m\angle COB=125^o$

$m\angle BCO=m\angle BCA=35^o$ -----> have measure equal to 35 degrees

substitute

$m\angle CBO+125^o+35^o=180^o$

$m\angle CBO=180^o-160^o=20^o$

step 4

Find the measure of angle ABO

In the right triangle ABO

we know that

$m\angle ABC=m\angle CBO+m\angle ABO$ ----> by angle addition postulate

we have

$m\angle ABC=55^o$

$m\angle CBO=20^o$

substitute

$55^o=20^o+m\angle ABO$

$m\angle ABO=55^o-20^o=35^o$ ----> have measure equal to 35 degrees

therefore

In the figure ∠ABO and ∠BCO have measures equal to 35°.

3 0

2 years ago

20 boxes of apples have been delivered to a restaurant. The number of apples in each box is counted. Complete the table below an

blsea [12.9K]

Answer:

30 apples

Step-by-step explanation:

600 is the total number of apples (adding all numbers in the apples*frequency column). Dividing this by 20, the number of boxes, we get 30 apples as the mean number in a box.

3 0

2 years ago