Answers
Answer/Step-by-step explanation:
✔️Using trigonometric ratio, find width of the rectangle, BD:
Thus:
[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]
Where,
[tex] tan(\theta) = tan(60) = \sqrt{3} [/tex]
Opposite = BD
Adjacent = 7 cm
Plug in the values
[tex] \sqrt{3} = \frac{BD}{7} [/tex]
Multiply both sides by 7
[tex] 7\sqrt{3} = BD [/tex]
[tex] BD = 7\sqrt{3} [/tex]
✔️Using trigonometric ratio, find height of the rectangle, BF:
Thus:
[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]
Where,
[tex] tan(\theta) = tan(60) = \sqrt{3} [/tex]
Opposite = 6 cm
Adjacent = BF
Plug in the values
[tex] \sqrt{3} = \frac{6}{BF} [/tex]
[tex] BF = \frac{6}{\sqrt{3}} [/tex]
Rationalize
[tex] BF = \frac{6 \times \sqrt{3}}{\sqrt{3} \times \sqrt{3}} [/tex]
[tex] BF = \frac{6\sqrt{3}}{3} [/tex]
[tex] BF = 2\sqrt{3} [/tex]
✔️Perimeter of rectangle BDEF:
Perimeter = 2(BD + BF)
Plug in the values
[tex] Perimeter = 2(7\sqrt{3} + 2\sqrt{3}) [/tex]
[tex] Perimeter = 2(9\sqrt{3}) [/tex]
[tex] Perimeter = 18\sqrt{3} [/tex]
✔️Area of the rectangle BDEF:
Area = BD × BF
Plug in the values
[tex] Area = 7\sqrt{3} \times 2\sqrt{3} [/tex]
[tex] Area = 7 \times 2\sqrt{3 \times 3} [/tex]
[tex] Area = 14 \times 3 [/tex]
[tex] Area = 42 [/tex]
Related Questions
How do cells maintain homeostasis? Describe one way a cell will maintain stable internal conditions.
Answers
Answer:
One way that a cell maintains homeostasis is by controlling the movement of substances across the cell membrane. Cells are suspended in a fluid environment.
The equation below describes a proportional relationship between x and y. What is the constant of proportionality? Y=4/7x
Answers
Answer:
the given equation is y=4/7x
reciprocating both sides you get y/x =7/4
now x and y are directly porportional to each other so
x=ky where k is the constant
or x/y=k ......................(2)
equating 1 and 2
k=7/4
Step-by-step explanation:
Solve for n.
- 24 -6n= -42
Answers
Answer:
n=3
Step-by-step explanation:
Answer:
n=3
Step-by-step explanation:
-24 -6n = -42
+24 (move to other side)
-42 + 24 = -18
-6n = -18
to move the -6 to the other side you divide
-18 divided by -6 is 3
n=3
If the base number is 2/3 and the power is 5.
answer must be a fraction
please explain i need this ASAP!!
WILL GIVE BRAINIEST
Answers
Answer:
32/243
Step-by-step explanation:
do 2 to the 5th and put it above 3 to the 5th
so
How would you write 6.5E4
Answers
6.5 x 10^4
Or
65000
Mr. Harrison sold 72 hot dogs in 4 days. At this rate, how many hot dogs will Mr. Harrison sell in 7 days?
Answers
Answer:
126
Step-by-step explanation:
72/4=18 hot dogs sold per day
18*7=126 hot dogs in a week.
Step by Step Explanation:
Yo can I get some help with this question
Answers
Answer:
Step-by-step explanation:
D is congruent to b so the answer is equal to 45 + 3x -10 + 2x + 10 = 180 . this can be to 45 + 5x = 180, and further to 5x + 135 to x=27
there are 50 kilometers in 31 miles. which representation does NOT show the same relationship?
Answers
Answer:
There's no options
Step-by-step explanation:
Answer:
Options please
Step-by-step explanation:
According to the boxplot shown below, what is the third quartile (Q3) value?
4
11
27
49
Answers
Answer:
Step-by-step explanation:
the answer is 49.0 so it’s d I just took the test
What is the range of {( -1,6), (2,0), (9,-3), (-4,6)}
Answers
Answer:
Range: {6,0,-3}
Step-by-step explanation:
Maya's final score is 298.Which dancer has the greater final score?
Answers
Answer:
the question
Step-by-step explanation:
because it litterly has dancer and in the question it has the greater final score.
i need help because i dont understand it
Answers
Answer:
6,371.15
Step-by-step explanation:
3.14 times 13^2 times 12
Answer:
Volume equals pi times radius to the power of 2 times height
that will be pi times 13^2 times 12= 6,367.92
radius is the 13 and you have to put it to the power of 2 and multiply it by 3.14 which is pi and multiply it by 12 and the answer is 6,367.92
Step-by-step explanation:
-x/3 = -998
please help fast!!!
what does x equal?
Answers
Answer:
2994=x
Step-by-step explanation:
-x/3=-998
multiply 3 on both sides
-x=-2994
x=2994
Hope this helps you!
#Team Rainbows~
The expression 2y+ 2.6 is equal to ? for y=5
Answers
Answer:
Its 12.6
Step-by-step explanation:
first we multiply 2 by 5 and get 10. Then we add 10 to 2.6 and get 12.6 for your answer.
Answer: 12.6
Step-by-step explanation:
2(5)+2.6
10+2.6
12.6
how many boys perfer the ferris wheel?
Answers
Answer:
10 Boys
Step-by-step explanation:
10 boys prefer the Ferris wheel because the total amount of boys is 35, but 23 of those 35 boys prefers the Super Slide, meaning what's left is who prefers the Ferris wheel since there are only 2 options for them to choose from.
35 boys - 23 boys (who like the Super Slide) = 10 boys (the remainder who likes the Ferris wheel).
≧◡≦
Mocha here! If this answer helped you, please consider giving it brainliest because I would appreciate it greatly. Have a wonderful day!
A restaurant customer left $ as a tip. The tax was and the tip was % of the after tax cost. Which information is not needed to compute the bill after tax and tip? What was the total bill?
Answers
Complete question :
A restaurant customer left $0.90 as a tip. The tax was 8% and the tip was 10% of the after tax cost. Which information is not needed to compute the bill after tax and tip? What was the total bill?
Answer:
The tax percentage
9.9
Step-by-step explanation:
Guven that :
Amount of tip left = 0.90
Tip left = 10% of after tax cost
Tax % = 8%
If tip left = 10% of after tax cost; then ;
If after tax cost = x
10% of x = 0.90
0.1x = 0.9
Hence the percentage tax isn't needed :
To obtain the total bill:
Let total bill = y
y = after tax cost and tip
Hence,
y = x + tip
y = x + 0.9
From : 0.1x = 0.9 ; x = 0.9/0.1 = 9
Hence,
Total bill:
y = 9 + 0.9
y = 9.9
Brian makes 9 dollars for each hour of work. Write an equation to represent his total pay p after working h hours.
Answers
Answer:
9h
Step-by-step explanation:
9 = $/hour
h = hours
Then you would multiply 9 by the number of hours worker, or h.
A wire is needed to support a vertical pole 4 feet tall. The cable will be anchored to a stake 3 feet from the base of the pole. How
much cable is needed?
4 ft
3 ft
A cable of length
feet is needed.
Enter your answer in the answer box.
Answers
Answer:
I think its 5 feet
Step-by-step explanation:
I used Pythagorean theorem
fine the slope of the line that passes through the points (2,4) and (3,-2)
Answers
Answer:
slope = -6
Step-by-step explanation:
slope = Δy/Δx
slope = (4+2)/(2-3)
= 6/-1
slope = -6
I WILL GIVE BRAINLIEST IF CORRECT The area of a square is 49 square centimeters. Find the length of a side. Find the length of the
diagonal
Answers
Answer: 7
Step-by-step explanation:
Since squares have the same side lengths
then you need to find a number that multiplies twice that equals 49
7*7 = 49
Answer: Length of a side: 7 / Length of the diagonal: 9.9
Explanation:
Just square root 49, so it becomes 7. That's the side length. In order, to find the diagonal of the square, just use Pythagorean Theorem, a^2+b^2=c^2. Because it's a quadrilateral, all of the sides should equal 7. a^2 would be 7 and b^2 would be 7. 49+49=98. Square root 98 and you would get 9.899... That would be estimated to 9.9.
Due in half hour, please help!
Answers
Answer:
Your answer will be 69
Step-by-step explanation:
A rectangle has width (2x + 3) and length (2x - 4). What is the AREA of the rectangle?
Answers
Answer:
85
Step-by-step explanation:
Which expression is equivalent to 100,000
Answers
Answer:
the answer is 10 with a little 4 on the top right corner
Step-by-step explanation:
count your zeros
Rewrite the following equation in standard form.
y + 7 = 2(x - 6)
Answers
Answer:
(-5)
Step-by-step explanation:
(-5)+7=2(×-6) fahhshzhsuhshzhhsbwysvavaghahahahwhwgwvavvwhhwshahwh
heeeeelppp please, :) please
Answers
Answer:
7/6
Step-by-step explanation:
In order to find slope when you have two ordered pairs, you use this equation: (y2-y1)/(x2-x1)
In this case, when you plug them in, you get (49-7)/(42-6), which is 42/36, which is 7/6.
Hope this helped :)
rewrite as difference of squares (2x+5)(2x-5)
Answers
I got u homie wherever in the world u r
Billy is 5 2/3 feet tall. Maris is 4 11/12 feet tall. How much taller is billy
Answers
3/4 feet
You can set this up as an equation and solve
[tex]5\frac{2}{3}-4\frac{11}{12} =5\frac{8}{12} -4\frac{11}{12} =4\frac{20}{12} -4\frac{11}{12}=\frac{9}{12} =\frac{3}{4}[/tex]
If the pre-image (0,-4) is translated by the rule (x−2,y+3) , which quadrant will the image be located
Answers
Answer:
Quadrant IV
Step-by-step explanation:
what is 149866.37636 rounded to the nearest whole number
Answers
Answer:
149866 is the nearest whole number.
Step-by-step explanation:
A cookie contains 150 calories. If you eat no fewer than 2 cookies and no more than 8 cookies, how many calories will you consume?
What would the inequality look like
Answers
Answer: 300cal ≤ y ≤ 1200 cal
Step-by-step explanation:
Let's define x as the number of cookies that you eat, and y as the number of calories you consume in those cookies.
"if you eat no fewer than 2 cookies..."
This is written as:
2 ≤ x
This means that x can be equal to 2, or larger than 2.
"...and no more than 8 cookies"
This is written as:
x ≤ 8
This means that x can be smaller than 8 or equal to 8.
If we combine those two, we have:
2 ≤ x ≤ 8
And we know that each cookie contains 150 calories, and rememer that these numbers represent number of cookies, then the numbers of calories will be:
2*150 cal ≤ y ≤ 8*150 cal
300cal ≤ y ≤ 1200 cal.
