9514 1404 393
Answer:
75 in^2
Step-by-step explanation:
The central vertical rectangle (including "ears") has dimensions
3 in wide by (9+2+2) = 13 in tall
Its area is
A = LW = (3 in)(13 in) = 39 in^2
__
The two rectangles either side of that have dimensions 2 in by 9 in. The area of each of them is
A = LW = (2 in)(9 in) = 18 in^2
__
The total net area is the sum of the areas of the parts:
left rectangle + central rectangle + right rectangle
= 18 in^2 + 39 in^2 + 18 in^2 = 75 in^2 . . . . surface area of the net
Answer:
D. 14 small bottles and 5 large bottles
Step-by-step explanation:
Answer:
The expression that represents Capri’s age is a + 4.
The expression that represents Portia’s age is a – 5.
Step-by-step explanation:
The expression that represents Capri's age is a + 4.
The expression that represents Portia's age is a -5.
To write an equation for this scenario, Capri's age needs to be equal to Portia’s age
The equation used to represent this scenario is a + a + 5 + 2 - 4 = 38.
Solving this equation will give Aziza's age.
Aziza'a age = a
Portia age = a - 5
Capri's age = 4 + a
a + a - 5 + 4 + a = 38
The probability that a region prone to hurricanes will be hit by a hurricane in any single year is one tenth or 0.1
P(at least one) = 1 - P(none in five years)
-----
= 1 - 0.90^5
= 1 - 0.59049
=0.40951 or 0.41.
41% probability that there will be a hurricane at least once in the next 5 years.
Answer: x is 9° , y is 21°. The measure of angle ABE is 48°.
Step-by-step explanation:
First we will solve for x.
The variable x appears in the angle 8x + 18 and that angle is a right angle.
Right angles have the measure of 90 degrees so we will set the angle equal 90 and solve for x.
8x + 18 = 90 Subtract 18 from both sides
- 18 -18
8x = 72 divide both sides by 8
x = 9
y is also on the right side and the combination of both angles has to also equal 90 degrees because they form a right angle.
Since we already know x is 9 we will input it into the left side for x and solve for y.
y + 3(9) + 2y = 90
3y + 27= 90
-27 -27
3y = 63
y = 21
Now we need to find the measure of angle ABE.
ABE is represented by y + 3x so since we know the value of y and x we will input it into the expression and solve for the angle.
21 + 3(9) = m∠ABE
21 + 27= m∠ABE
48 = m∠ABE
This means the measure of angle ABE is 48°
