Answer: 10 × 3 + 4 + 5 × 2 + 1 + 3 × 100 = 345
She earned $184 in interest
$644 In all
Here's why:
The formula is Interest = Principal x Rate x Time
I = 460 x 8% x 5 or I = 460 x 0.08 x 5. PEMDAS
460(0.08) = 36.8
I = 36.8 x 5
36.8 x 5 = 184
I = $184
To find them in all, add the original amount she deposited with the interest.
460 + 184 = 644
In all: $644
Answer:
x = 65°
Step-by-step explanation:
The interior angle of the triangle and 140° are adjacent and supplementary, thus
interior angle = 180° - 140° = 40°
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
105° is an exterior angle of the triangle, thus
x + 40° = 105° ( subtract 40° from both sides )
x = 65°
<h3>What are similar shapes?</h3>
When applying a scale factor, similar shapes are enlarged versions of one another. All of the matching angles and lengths in related shapes are equal and in the same ratio.
Rectangle is also a kind of shape. So, defining similar rectangle two rectangles must have proportional sides in order for them to be identical (form equal ratios) i.e., ratio of the two longer sides should equal the ratio of the two shorter sides.
Steps to find similar rectangle in math:
- Choose the pairs of corresponding sides on each side.
- Determine the sides' ratios.
- Verify that the ratios are identical.
To know more about similar rectangles, follow link:
brainly.com/question/17905285
#SPJ4
Answer:
12 a. 4605 feet 12 b. 1,459,063 square feet
Step-by-step explanation:
For the perimeter, we simply add the lengths of each of the 5 sides together (or multiply 5 times one side length).
P = 5(921)
P = 4605 feet
For the area, we will use composition...add the area of the triangle to the area of the trapezoid.
For the area of the triangle, the formula is
.
Filling in our values gives us
and
A = 403,045 square feet.
Now for the trapezoid. The formula for a trapezoid is
where the b's represent the bases and the h represents the height. Filling in our values gives us
Work inside the parenthesis first:
and
A = 1,056,018
Now we add those together to get that area of the Pentagon is 1,459,063 square feet
