Answer:
1. x > -1 is the answe to number one
Answer:
x = 8
Step-by-step explanation:
Triangle OBC is congruent to triangle OBA (SAS ---- side angle side)
Correct option C) 0.98%
<u>Step-by-step explanation:</u>
We know that , there are 2 black ace cards out of 52 cards in a deck & 13 hearts out of 52 cards . Here we have to tell What is the probability of drawing a black ace followed by a heart out of a deck when the cards aren't replaced . Let's find out:
Firstly , a black ace is drawn , so probability :
⇒
Now , A heart is drawn out of 51 cards ( as one black ace is already drawn !):
⇒
So , Probability of occurring both events is :
⇒
⇒
⇒
Percentage = %
Therefore , Correct option C) 0.98%
Answer: 52 square cm
Step-by-step explanation:
The given surface area formula of a rectangular prism,
S = 2 wl + 2 lh + 2 hw
Where is the length, w is the width and h is the height of the prism,
Here, length, l = 2 cm,
Width, w = 3 cm
And, Height, h = 4 cm
Thus,The required surface area of the prism,
S = 2 × 3 × 2 + 2 × 2 × 4 + 2 × 4 × 3
S = 12 + 16 + 24 = 52 square cm.
Note that the formula for the circumference of a circle is πd, while the formula for the area of a circle is πr².
π≈3.14
A. C=πd
Simply plug in the numbers into the formula.
Diameter=Radius*2
17*2=34
C=34(π)
B. (π)(5²)
Plug in the numbers into the formula. Remember that half of the diameter is the radius.
C. (π)(4.5)
There are two possible formulas that could be used to calculate the circumference of a circle: πd and 2πr.
The expression above is simply multiplying the circle's radius times pi. Therefore, it is not a method that could be used to find the circumference of a circle.
D. (π)(6.5²)
Remember that the formula for calculating the area of a circle is πr².
Half of the diameter is 6.5 (13.5/2=6.5). 6.5 cm. is the radius. Now just plug the numbers into the formula.
(π)(6.5²)
Therefore, the last answer choice is the correct answer.