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3 years ago

Please help and explain

Mathematics

1 answer:

Vikki [24]3 years ago

5 0

Try this solution/explanation:
1. the rule is: m∠TRP=m∠YTR.
2. using the rule described above, it is possible to write the following equation: 3x=2x+35; ⇒ x=35°

Answer: 35°

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Draw 2 cards from a standard deck of 52 cards. What is the probability that the first card is a queen and the second card is a k

bixtya [17]

Answer:

4/663

Step-by-step explanation:

There are four queens. The probability that the first card is a queen is 4/52.

There are four kings. There are 51 cards left after the first card has been drawn, so the probability that the second card is a king is 4/51.

Therefore, the probability that the first card is a queen AND the second card is a king is:

P = 4/52 × 4/51

P = 4/663

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3 years ago

The cone below has a radius of 3 inches, a height of 4 inches, and a slant height of 5 inches. What is the approximate lateral a

Natali [406]

Cone Lateral Area = (π • r • slant height)
Cone Lateral Area = (PI * 3 * 5)
Cone Lateral Area = 47.1 square inches
Cone Lateral Area = 47 square inches (rounded to nearest whole number).

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3 years ago

Read 2 more answers

The area of the base of the oblique pentagonal pyramid is 50 cm^2 and the distance from the apex to the center of the pentagon i

Verdich [7]

The complete question in the attached figure

Part a)
we know that
ABC is a right triangle
∠ACB=45°
AC=hypotenuse------> 6√2 cm
sin 45=AB/AC-----> AB=AC*sin 45----> AB=6√2*√2/2----> AB=6 cm

the answer part a) is
AB=6 cm

Part b)
we know that
volume of the pyramid=(1/3)*Area of the base*height
area of the base=50 cm²
height=6 cm
so
volume of the pyramid=(1/3)*50*6----> 100 cm³

the answer part b) is
100 cm³

5 0

3 years ago

There's a piece of a pyramid is a rectangle with a width of 4.6 cm and the length of the 9 cm. What is the height in centimeters

Dominik [7]

Answer:

6cm

Step-by-step explanation:

Given data

Width= 4.6cm

Length= 9cm

Volume= 82.8cm^3

The expression for the volume is given as

V= lwh/3

82.8= 9*4.6*h/3

cross multiply

82.8*3= 9*4.6*h

248.4= 41.4h

h= 248.4/41.4

h= 6cm

8 0

3 years ago

The velocity v of the flow of blood at a distance r from the central axis of an artery of radius R is given below, where k is th

andrew11 [14]

The average rate of blood flow is given by

$\displaystyle\frac1{R-0}\int_0^Rv(r)\,\mathrm dr=\frac kR\int_0^R(R^2-r^2)\,\mathrm dr$
$=\dfrac kR\left(R^2r-\dfrac13r^3\right)\bigg|_{r=0}^{r=R}$
$=\dfrac kR\left(R^3-\dfrac13R^3\right)$
$=\dfrac{2kR^2}3$

3 0

3 years ago