Answer:
BD = 29.3
Step-by-step explanation:
Each half of the rectangle is a right triangle.
The diagonal is the hypotenuse of each right triangle.
Let's focus on right triangle ABD
Reference angle = m<ABD = 35°
AB = CD = 24
Adjacent length = AB = 24
Diagonal = Hypotenuse = BD
To find BD, apply CAH:
Cos 35° = Adj/Hyp
Substitute
Cos 35° = 24/BD
BD × Cos 35° = 24
BD = 24/Cos 35°
BD = 29.3 (nearest tenth)
All the parts of the questions about the given histogram have been answered below.
<h3>
What is a histogram?</h3>
- A histogram is a graph that depicts the frequency of numerical data using rectangles.
- The vertical axis of a rectangle represents the distribution frequency of a variable (the amount, or how often that variable appears).
(A) The distribution of minting year:
According to the histogram, the distribution of minting years is 1900-1910 and 1940-2020.
(B) The median:
Add the two middle numbers together and divide them by two to get the median.
10 + 15 / 2 = 12.5
So, the median is somewhere between 10-15.
(C) The range:
The range is computed by subtracting the lowest and highest values.
25 - 0 = 25
So, the range is 25.
(D) The potential outliers:
According to the histogram, the potential outliers are 1910-1940.
Therefore, all the parts of the questions have been answered.
Know more about histograms here:
brainly.com/question/2962546
#SPJ4
Answer:
c) 10
Step-by-step explanation:
3(2t +5) = 5t + 25
distribute the 3 into the parentheses
6t + 15 = 5t + 25
subtract 5t from both sides
t + 15 = 25
subtract 15 from both sides
t = 10
Answer:
3/2 cups of flour
1/4 cups of butter
Step-by-step explanation:
Cups of flour = 6
Cups of sugar = 2
Cup of butter = 1
Marcos only has ½ cup of sugar, so he's going to make a smaller cake.
Cups of sugar for big cake = 2
Cups of sugar for small cake = 1/2
Ratio of cups of sugar for big cake to small cake is
= 2 : 1/2
= 2 ÷ 1/2
= 2 × 2/1
= 4
This means to make smaller cake, all recipes should be divided by 4
Flour for small cake = flour for big cake / 4
= 6 / 4
= 3/2 cups of flour
= 1.33
Butter for small cake = Butter for big cake / 4
= 1 / 4 cups of butter
= 0.25
Answer:
29 lbs of potatoes
Step-by-step explanation:
$45 divided by 5 lbs = 9 ($9 per lb)
$261 divided by 9 = 29