You can't get negative 1 from any equation shown in this picture. By the way, -5 +(-9) is not negative 4, it is negative 14,because according to PEMDAS( or <span>BODMAS/BIDMAS/BEDMAS )</span>, parenthesis goes first, so it's kinda like
(-9) + -5 instead.
Answer:
A: 14/65
Step-by-step explanation:
Let A be the event of pulling a blue marble first, there are 28 blue marbles
Let B be the event of pulling a red marble second, there are 12 red marbles
There are 40 total marbles in the bag.
So
P(A) = 28/40
Since he pulls two marbles with out replacement, there is one less marble in the bag when he pulls the second marble, so there are only 39 marbles left, so
P(B) = 12/39
When calculating the probability of multiple events, you multiply their probabilities together, so we have
P(A then B) = (28/40)(12/39) = 336/1560
Now reduce the fraction...
112/520
28/130
14/65
To solve, the first step is to find the LCM (least common denominator). In this scenario, it's ten.
6 5/10 - 2 3/10
From here, do the math. It's easy this time, what's 5 - 3? Two.
Now, subtract two from six. (four)
4 and 2/10
4 and 1/5
There! :)
Answer:
789 m²
Step-by-step explanation:
Consider the cross section created by a vertical plane through the apex of the pyramid and bisecting opposite sides. The cross section is an isosceles triangle with base 20 m and height 17 m. One side of this triangle is the slant height of the face of the pyramid.
The side of the triangle above can be found using the Pythagorean theorem. A median from the apex of the triangle will divide it into two right triangles, each with a base of 10 m and a height of 17 m. Then the hypotenuse is ...
s² = (10 m)² +(17 m)² = 389 m²
s = √389 m ≈ 19.723 m . . . . . slant height of one triangular face
__
The area of one triangular face is ...
A = (1/2)sb
where s is the slant height above, and b is the 20 m base of the face of the pyramid. There are 4 of these faces, so the total area is ...
total lateral area = 4A = 4(1/2)sb = 2sb = 2(19.723 m)(20 m)
total lateral area ≈ 789 m²
