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DedPeter [7]
2 years ago
14

Look at this triangle. B 8 cm A 22 cm Work out length AB.

Mathematics
1 answer:
brilliants [131]2 years ago
7 0

Answer:

23.41cm

Step-by-step explanation:

Using Pythagoras theorem

a²+b² = c²

Where a and b are sides of the triangle and c is the Hypotenuse.

If we substitute the values

B= 8 cm

A= 22 cm

22²+8² = c²

484 + 64= c²

√548 = c

C= 23.41

Hence, length AB is 23.41cm

CHECK THE ATTACHMENT

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8 0
3 years ago
The base is a square 16m 6m
Ostrovityanka [42]

base is a square 16m 6m

Step-by-step explanation:

A square is a regular quadrilateral and it has four equal sides and four equal angles (90 degree angle or right angles).

A square quadrilateral with vertices ABCD would be denoted by ABCD. The perimeter of a square (quadrilateral) is given by:

P = 4a

Where a is the length of each side.

Perimeter of the square:

P = 4a

P = 4 × 16 cm

P = 64 cm

Hence, the perimeter of square is 64 cm.

7 0
3 years ago
Consider the inequality -5(x+7) <-10. write an inequalityrepresenting the soulution for x.
Gwar [14]

Answer:

x > -5

Step-by-step explanation:

You multiply both sides by -1

Simplify

Divide both sides by 5

Simplify

Subtract 7 from both sides

Simplify

Please give me BRAINLIEST and THANKS lol <( ̄︶ ̄)>

6 0
2 years ago
A survey of 85 families showed that 36 owned at least one DVD player. Find the 99% confidence interval estimate of the true prop
attashe74 [19]

Answer:

0.424 - 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.286

0.424 + 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.562

The 99% confidence interval would be given by (0.286;0.562)

Step-by-step explanation:

Information given:

X= 36 represent the families owned at least one DVD player

n= 85 represent the total number of families

\hat p=\frac{36}{85}= 0.424 represent the estimated proportion of families owned at least one DVD player

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.05. And the critical value would be given by:

z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58

The confidence interval for the mean is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

If we replace the values obtained we got:

0.424 - 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.286

0.424 + 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.562

The 99% confidence interval would be given by (0.286;0.562)

8 0
3 years ago
cuanto pagaríamos por un libro cuyo precio es de $25 si le aplicamos un descuento del 25% cuanto dinero ahorramos
kotegsom [21]

Tenemos precio de lista de $25 para el libro.

Si aplicamos un descuento del 25%, este descuento representa:

D=(\frac{25}{100})\cdot25=0.25\cdot25=6.25

Ahorramos $6.25.

El precio que pagamos el libro es $18.75.

P=L-D=25-6.25=18.75

4 0
9 months ago
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