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galina1969 [7]
3 years ago
15

A rectangular sheet of metal is 10 cm longer than it is wide. Squares 5 cm on a side, are cut from the corners of the sheet, and

the flaps are bent up to form an open topped box having volume 6 liters. Find the original dimensions of the sheet of metal. 1L=1000cm³
Mathematics
1 answer:
3241004551 [841]3 years ago
4 0
Let width be x
length = x+10
5cm is cut from the corners.
so length & width reduce by 10 cm.
..
the width will be x-10
length will be x+10-10
height will be 5cm
...
x(x-10)*5=6000 1 liter = 1000 cm^3
5x^2-50x-6000=0
/5
x^2-10x-600=0
x^2-30x+20x-600=0
x(x-30)+20(x-30)=0
(x-30)(x+20)=0
x= 30 the width
length = 40
...
CHECK
30*40*5= 6000 = 6 liters
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A flagpole is at the top of a building. 300 feet from the base of the building, the angle of elevation of the top of the pole is
Grace [21]

Answer: We can use tangent here to find the length of the flagpole

First, find the length of the building + the flag pole

tan 32 = x/300

x=300tan32=187.460805573

(length of building + flagpole)

find length of building

tan 30 = x/300

x=173.205080757

subtract

187.460805573-173.205080757=14.255724816

round, length of flagpole = 14 feet

7 0
3 years ago
Rsm question please explain<br> The question is in the picture
strojnjashka [21]

A triangle is a three-edged polygon with three vertices. ΔAKE and ΔCKP are congruent.

<h3>What is a triangle?</h3>

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angle of a triangle is always equal to 180°.

In ΔABC, since AB≅BC, therefore, the triangle will be an isosceles triangle, and the measure of ∠A ≅ ∠C, using the base angle theorem.

Now In ΔAKE and ΔCKP,

∠A ≅ ∠C {Proved above}

∠AKE ≅ ∠CKP {Given}

AK ≅ KC {Given }

Since two angles and a side of the triangle are equal, therefore, we can write the two triangle are congruent using the Side-angle-side or Angle-Side-Angle congruence.

Hence, ΔAKE and ΔCKP are congruent.

Learn more about Triangle:

brainly.com/question/2773823

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7 0
2 years ago
Which of the following are solutions to the inequality below select all that apply
KIM [24]
<h3>Answer:  n = -11</h3>

The other choices are false, so choice C is the only solution here.

==================================================

Explanation:

Draw a number line. You'll have 0 in the center, with positive values on the right. The positive values increase 1,2,3,4,... as you move from left to right.

The negative values will go in the opposite direction. When going from right to left, we have -1, -2, -3, -4, ...

See the diagram below.

Now plot an open hole at -7 on the number line. The open hole says that we exclude this value from the solution set. Then we shade everything to the left of the open circle. This visually describes all values smaller than -7. Something like -2 is not to the left of -7, meaning -2 < -7 is false. But a value like -10 is to the left of -7, making -10 < -7 true.

With that in mind, the answer is n = -11 since -11 is to the left of -7. Of the values in the answer choices, it's the only thing to the left of -7.

The value n = -7 cannot be the solution because n < -7 would become -7 < -7 which is false.

5 0
3 years ago
I don’t understand, please help! Solve m=p/2-n for n.
belka [17]

Answer:    n=p/2-m

Step-by-step explanation:

m=p/2-n   (1)

Add n to both sides of the equation  (1)

m+n=p/2-n+n => m+n=p/2     (2)

Subtract m from both sides of the equation (2)

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6 0
4 years ago
I need answers for #3 and #4
NNADVOKAT [17]

Answer:#3- C. E=155

#4- I think it's G‍♀️

8 0
3 years ago
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