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3 years ago

Help me please geometry!! Find the missing side length.

Mathematics

1 answer:

alekssr [168]3 years ago

7 0

Set up a ratio:

16/12 = 28/?

Cross multiply:

16? = 12 x 28

16? = 336

Divide both sides by 16:

? = 336/16

? = 21

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Give the gradients and the intercepts on the y-axis of the lines with the following equations. Sketch each line.

Inga [223]

9514 1404 393

Answer:

see attached

Step-by-step explanation:

The gradient is the x-coefficient. The y-intercept is the constant. These are listed in the table in the first attachment. The graphs are shown in the second attachment.

3 0

3 years ago

Read 2 more answers

3. Two balls are drawn in succession without replacement from an urn containing 4 red balls and 3 blue balls. Find the probabili

choli [55]

Answer:

X ____ 0 ______ 1 _______ 2

P(x) __ 1/7 _____ 4/7 _____ 2/7

Step-by-step explanation:

Given that :

Number of red balls = 4

Number of Blue balls = 3

Total number of balls = (4 + 3) = 7

Picking without replacement :

Number of picks = 2

1st pick is red :

Probability = (required outcome / Total possible outcomes)

USing combination formula :

nCr = n! / (n-r)! r!

Total possible outcome :

7C2 = 7! / 5!2! = 7*6 / 2 = 42 / 2 = 21

X = number of red

For red = 0;

P(x =0) = required outcome / Total possible outcomes

P(x = 0)

Required outcome : [4C0 * 3C2)]

P(x = 0) = [(4C0 * 3C2)] / 21 = (1*3)/21 = 3/21 = 1/7

P(x = 1)

Required outcome : [4C1 * 3C1)]

P(x = 1) = [(4C1 * 3C1)] / 21 = (4*3)/21 = 12/21 = 4/7

P(x = 2)

Required outcome : [4C2 * 3C0)]

P(x = 2) = [(4C2 * 3C0)] / 21 = (6*1)/21 = 6/21 = 2/7

Hence ;

X ____ 0 ______ 1 _______ 2

P(x) __ 1/7 _____ 4/7 _____ 2/7

8 0

3 years ago

You are laying a concrete border around a circular pond ...The pond is 7 meters in diameter and is surrounded by a path 2 metres

nasty-shy [4]

Answer:

300 bags of 20 kg of premixed are required.

Step-by-step explanation:

Given:

diameter of pond 'd'= 7 m (given)

radius of inner border of pond 'r'= d/2= 7/2 m

The radius of outer circular border 'R'= r+2= 7/2+2= 11/2m

Area of concrete border around the circular pond= area of outer circle- area of inner circle

So, $\pi\times R^2-\pi\times r^2= \pi\times (R^2-r^2)$

=> 22/7 x ((11/2)²-(7/2)²)

=> 22/7 x (121/4-49/4)

=> $\frac{22}{7} \times \frac{72}{4}$

=> 56.57 m²

volume of concrete needed= area x height= 56.57 x 0.05= 2.8285 cubic meter

Since 1 cube meter requires 106 x 20 kg bags,

2.8285 cubic meters require bags= 2.8285x106x20 kg

20 kg bags of premixed concrete required= 2.8285x106x20/20

=> 2.8285x106

=> 299.821 or 300 approximately

5 0

4 years ago

Solve by completing the square: x^2-2x-1=0

NemiM [27]

$(a-b)^2=a^2-2ab+b^2\ (*)\\------------------------------\\\\x^2-2x-1=0\\\\x^2-2x\cdot1=1\\\\\underbrace{x^2-2x\cdot1+1^2}_{(*)}-1^2=1\\\\(x-1)^2-1=1\\\\(x-1)^2=1+1\\\\(x-1)^2=2\Rightarrow x-1=-\sqrt2\ \vee\ x-1=\sqrt2\\\\\underline{\underline{x=1-\sqrt2\ \vee\ x=1+\sqrt2}}$

7 0

4 years ago

Write a polynomial equation with integer coefficients that has the given roots.

stealth61 [152]

Answer:

y³+y²-30y=0

Step-by-step explanation:

(y-0)(y+6)(y-5)=0

y(y+6)(y-5)=0

y(y²-5y+6y-30)=0

y³+y²-30y=0

6 0

3 years ago