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ale4655 [162]
3 years ago
5

What are the lengths?

Mathematics
1 answer:
Montano1993 [528]3 years ago
6 0
In both the figures we have a Right Angled Triangle.

Two sides of the right angled triangles are given and we are to find the Third side. This can be done using the Pythagoras Theorem, which states:

Hypotenuse² = Base² + Perpendicular²

For 1st figure, we have
Base = 21
Perpendicular = 20

So, 

Hypotenuse² = 20² + 21² = 841
⇒
Hypotenuse = 29 (1st option is correct)

For 2nd Image, we have
Base= 6
Hypotenuse = 10

So, we can write:

10² = 6² + Perpendicular²
Perpendicular² = 64
⇒
Perpendicular = 8 (Option Fourth)
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julia-pushkina [17]
They should company A because when company B adds the extra charge you have to pay $220 and company A is only $160.
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3 years ago
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Tomato as a taste modifier. Miraculin—a protein naturally produced in a rare tropical fruit—can convert a sour taste into a swee
Minchanka [31]

Answer:

a) .033  b) .4678 c) 100

Step-by-step explanation:

Distribution of miraculin produced is normal. To answer question we need to find the z-score of 100g, 110g and 120g miraculin

General formula for z score is given by

z=\frac{X-M}{s} where

  • X is the miraculin produced (120,110,100)
  • M is the mean miraculin produced for a partucilar tomato plant, which is 105.3
  • s is the standard deviation of the sample, which is 8.0

a)

z-score for 120 g miraculin is \frac{120-105.3}{8} =1.8375 then

P(x > 120) = P(z>1.8375) = 0.033

b)

z-score for 110 g miraculin is \frac{110-105.3}{8} = 0.5875

  z-score for 100 g miraculin is \frac{100-105.3}{8} = -0,6625

P(100 < x < 110) = P(x>100) - P(x>110) =0.7462 - 0,2784 = 0.4678

c)

if P(x < a) = 0.25 then corresponding z score for a is -0.6745. From the above formula we can calculate a:

\frac{a-105.3}{8} =-0.6625 which gives a= 100

8 0
3 years ago
ALGEBRA ONE HELP URGENT!!!!!!
Olenka [21]
X^2
.........
...........m.
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2 years ago
A \greenD{4\,\text{cm} \times 6\,\text{cm}}4cm×6cmstart color greenD, 4, space, c, m, times, 6, space, c, m, end color greenD re
gayaneshka [121]

Answer:

356 cm².

Step-by-step explanation:

Step one: The first thing to do here is to Calculate the area of rectangle. The area of the rectangle can be calculated by using the formula below;

Area of rectangle = width × length = 6 × 4 = 24 cm².

Step two: the next step is to calculate the area of the circle. The area of the circle can be calculated by using the formula below;

Area of a circle = (radius)^2 × π.

Area of a circle = (11)^2 × π = 380.13 cm².

Step three: the next thing to do is to calculate the area of the shaded region which is the difference between the Area of a circle and the Area of rectangle.

That is; 380.13 cm² - 24 cm² = 356.13 cm².

6 0
3 years ago
Will give BRAINLIEST to correct answer.<br><br> Given that ℓ1 ∥ ℓ2, find x.
lisov135 [29]

X = 38

2x is equal to the angle next to the x + 66 angle because ℓ1 ∥ ℓ2 is parallel so:

2x + x + 66 = 180 -- combine like terms

3x + 66 = 180 -- subtract 66 from both sides

3x = 114 -- divide by 3 on both side

x = 38

5 0
2 years ago
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