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3 years ago

Find the approximate side length of a square game board with an area of 161 in?

1 answer:

4 0

Answer: 12.69 in

Explanation:
Square root of 161 is around 12.69
That means each side of the square is about 12.69 bc l x w = a
and square root of a = side length of square

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Find a number C such that the polynomial p(x)= -x+4x^2+Cx^3-8x^4

Ksenya-84 [330]

Answer:

C = 2

Step-by-step explanation:

$p(x)= -x+4x^2+Cx^3-8x^4 \\ \\ \because \: given \: polynmial \: has \: zero \: at \: \\x = \frac{1}{4} \\ \\ \implies \: p\bigg(\frac{1}{4} \bigg) = 0...(1) \\ \\ plug \: x = \frac{1}{4} \: in \: p(x) \: we \: find \\ \\ p \bigg(\frac{1}{4} \bigg) = - \frac{1}{4} + 4 {\bigg(\frac{1}{4} \bigg)}^{2} + c {\bigg(\frac{1}{4} \bigg)}^{3} - 8 {\bigg(\frac{1}{4} \bigg)}^{4} \\ \\ 0 = - \frac{1}{4} + \cancel 4 \times {\frac{1}{\cancel{16} } } + c {\bigg(\frac{1}{64} \bigg)} - \cancel 8 \times \frac{1}{\cancel{256} } \\ \\0 =\cancel{ - \frac{1}{4}} + \cancel {{\frac{1}{4} }} + c {\bigg(\frac{1}{64} \bigg)} - \times \frac{1}{32} \\ \\0 = c {\bigg(\frac{1}{64} \bigg)} - \frac{1}{32} \\ \\c {\bigg(\frac{1}{64} \bigg)} = \frac{1}{32} \\ \\ c = \frac{1}{32} \times 64 \\ \\ c = 2$

5 0

3 years ago

A certain type of nuts are on sale at 0.35 per pound.Tamara buys 0.2 pound of nuts.How much will the nuts cost?

scoray [572]

$cost=\ amount\ of\ nuts*cost\ per\ pound\\\\
cost=0.35*0.2=0.7\\\\
Nuts\ cost\ 0.7.$

5 0

4 years ago

There are 90 students in a speech contest. Yesterday 2/3 of them gave their speeches. Today,1/3 of the remaining gave their spee

V125BC [204]

Answer:

The number of the students is 20.

Step-by-step explanation:

Total number of students in the speech contest = 90

Number of students that gave their speeches yesterday = $\frac{2}{3}$ of 90

= $\frac{2}{3}$ x 90

= 60

Number of remaining students who have not given their speeches after the first day = 90 - 60

= 30

Number of students that gave their speeches today = $\frac{1}{3}$ of 30

= $\frac{1}{3}$ x 30

= 10

Number of students that have not given their speeches = 30 - 10

= 20

Thus, 20 students have not given their speeches.

7 0

3 years ago

Help me on this math problem please!! DUE TONIGHT!! Write an equation!

schepotkina [342]

Answer:

(3x+8)°+(x+4)° = 180,

x=42

Step-by-step explanation:

They are linear pairs, so the two angles are supplementary or add up to 180°.

1. Format the equation (3x+8)°+(x+4)° = 180

2. Simplify like terms 4x + 12 = 180

3. Subtract 12 on both sides, 4x=168

4. Divide 4 on both sides, x=42

5. Answer is x=42

6 0

2 years ago

Read 2 more answers

A petrol can is a rectangular prism with base measurements 15 cm by 30 cm. If the can has capacity 18 liters, find its height

Anon25 [30]

Answer:

40cm

Step-by-step explanation:

Given data

Length= 15cm

Width=30cm

Volume= 18liters

1000cm^3= 18liters

18000cm^3= 18liters

We know that volume

Volume= L*W*h

18000= 15*30*h

18000=450h

h= 18000/450

h= 40cm

Hence the height is 40cm

5 0

3 years ago