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arlik [135]
2 years ago
5

A factory produces 56,224 nuts in 28 days. If they are producing same number of nuts every day, find the number of nuts produced

per day?
Mathematics
2 answers:
Y_Kistochka [10]2 years ago
5 0
2,008 nuts per day, all you have to do is divide 56,224 by 28 and you’ll get the number of nuts produced daily
german2 years ago
3 0

Answer:

7028

Step-by-step explanation:

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parallelogram PQRS has PQ=RS=8 cm and diagonal QS= 10 cm. point F is on RS exactly 5 cm from S. let T be the intersection of PF
Doss [256]

<u>Solution-</u>

Given that,

In the parallelogram PQRS has PQ=RS=8 cm and diagonal QS= 10 cm.

Then considering ΔPQT and ΔSTF,

1-    ∠FTS ≅ ∠PTQ            ( ∵ These two are vertical angles)

2-   ∠TFS ≅ ∠TPQ            ( ∵ These two are alternate interior angles)

3-   ∠TSF ≅ ∠TQP            ( ∵ These two are also alternate interior angles)

<em>If the corresponding angles of two triangles are congruent, then they are said to be similar and the corresponding sides are in proportion.</em>

∴ ΔFTS ∼ ΔPTQ, so corresponding side lengths are in proportion.

\Rightarrow \frac{PQ}{FS} =\frac{TQ}{TS} =\frac{TP}{TF}

As QS = TQ + TS = 10 (given)

If TS is x, then TQ will be 10-x. Then putting these values in the equation

\Rightarrow \frac{PQ}{FS} =\frac{TQ}{TS}

\Rightarrow \frac{8}{5} =\frac{10-x}{x}

\Rightarrow x=3.85

∴ So TS = 3.85 cm and TQ is 10-3.85 = 6.15 cm




5 0
3 years ago
“There shall be a firm and perpetual Peace between his Brittanic Majesty and the said States… all Hostilities both by Sea and La
icang [17]

Answer:

Treaty of Paris (1783

Step-by-step explanation:

Some of the treaty key points are;

The aim of the parties to "forget" previous disputes and controversies and to gain "perpetual peace and harmony"

1) The acknowledgement of the United States as a sovereign state

2) The United States boundary establishment

3) The right to fish granted to the United States fishermen

4) Debt settlement of lawful contracts on either side

5) Prisoners of war are to be released

6) Protection of property of Loyalists by the United States.

4 0
3 years ago
If x=3+root8 and y =3- root 8 find 1/x^2+1/y^2
KonstantinChe [14]

Answer:

34

Step-by-step explanation:

x=3+√8

y =3-√8

now,

1/x^2+1/y^2

=1/(3+√8)² + 1/(3-√8)²

= [(3-√8)²+(3+√8)²] / (3+√8)²(3-√8)²            [L.C.M  = (3+√8)²(3-√8)² ]

=[(3-√8+3+√8)²-2(3-√8)(3+√8) ] / [(3+√8)(3-√8)]²  

=[6²-2.(3²-√8² )] / (3²-√8²)²                 [ a²+ b²=(a+b)²-2ab]

=[36-2(9-8) ]/ (9-8)²

=[36-2.1] / 1²

=34

3 0
3 years ago
Factor the expression 2x^2-5x-3
adell [148]

Answer:

(2x+1)(x-3) is the factorized form of the given expression

Step-by-step explanation:

=2x^2-5x-3

By using sum and product rule

=2x^2-6x+1x-3

By taking common

=2x(x-3)+1(x-3)

=(2x+1)(x-3)

I hope this will help you :)

5 0
3 years ago
Read 2 more answers
Explain commutative property of integers under subtraction​
vladimir1956 [14]

Answer:

The commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer. The property holds for Addition and Multiplication, but not for subtraction and division. Addition. Subtraction.

Step-by-step explanation:

The commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer. The property holds for Addition and Multiplication, but not for subtraction and division. Addition. Subtraction.

3 0
3 years ago
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