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2 years ago

Clue 1

Mathematics

1 answer:

nikklg [1K]2 years ago

7 0

The number is 112
1. Three digits
2. Less than 140
3. 7 is a factor
4. Even
5. 1+1+2 = 4

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The lengths of the parallel sides of

garik1379 [7]

Answer:

12 cm

Step-by-step explanation:

12+26/2 ×x =228

19x =228

X=12cm

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3 years ago

The area of a trapezoid is A=1/2h(b+B). Solve the formula for the height h. What is the height if the area is 200 feet, the leng

ruslelena [56]

Answer:

<h2>The height of a trapezoid is 16</h2><h2 />

Reasoning:

200=1/2h(10+15)

400=h(25)

16=h

I hope this helped and good luck!

3 0

3 years ago

Find the missing side or angle.

nikklg [1K]

9514 1404 393

Answer:

41.1

Step-by-step explanation:

A triangle solver can do this nicely. b ≈ 41.1

You can use the law of cosines for the purpose.

b² = a² +c² -2ac·cos(B)

b² = 120² +110² -2(120)(110)·cos(20°) ≈ 1692.1148

b ≈ √1692.1148 ≈ 41.13532

The missing side is b ≈ 41.1 units.

7 0

3 years ago

Find the max/min value of f(x) = 2x2 + 3x - 5

Lelechka [254]

Answer:

The minimum value is $(-\frac{3}{4},-\frac{49}{8})$ or $(-0.75,-6.125)$

Step-by-step explanation:

we have

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

This is the equation a vertical parabola open upward

The vertex represent a minimum

The general equation in vertex form is

$f(x)=a(x-h)^2+k$

where

(h,k) is the vertex

Convert the given function in vertex form

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

Factor 2

$f(x)=2(x^{2}+\frac{3}{2}x)-5$

Complete the square

$f(x)=2(x^{2}+\frac{3}{2}x+\frac{9}{16})-5-\frac{9}{8}$

$f(x)=2(x^{2}+\frac{3}{2}x+\frac{9}{16})-\frac{49}{8}$

Rewrite as perfect squares

$f(x)=2(x+\frac{3}{4})^{2}-\frac{49}{8}$

The vertex is the point $(-\frac{3}{4},-\frac{49}{8})$

8 0

3 years ago

Every week malik spends 5 2/15 hours doing his math homework and 2 13/30 hours doing his science homework. Estimate how much mor

ArbitrLikvidat [17]

This is Simple, Just Subtract Time taken by Science homework from time taken by Maths homework..

$= 5 \frac{2}{15} - 2 \frac{13}{30} \\ = \frac{150}{15} - \frac{73}{30} \\ = \frac{300 - 73}{30} \\ = \frac{227}{30} \\ = 7 \frac{17}{30} \: hours \: more.$

!! Hope It Helps !!

3 0

4 years ago