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
Help needed, much appreciated
Answers
Answer:
7
Step-by-step explanation:
4 x -2 + 3 x 5 = 7
Miss Niger is an auto mechanic I live auto body shop in Spanaway they charge a diagnostic fee of $40 prior to working on cars in order to find the issues with their customers cars then she then charges $25 per hour to fix the cars let X represent the hours spent working on cars and Y represent the total cost of fixing the car select an equation that best represents the suit leisurI'll
Answers
Answer:
Its C I just did this
Step-by-step explanation
The ratio method can be used to find percentage
Answers
Find the missing length of the triangle
A= yd
Answers
Answer:
a = 6yd
Step-by-step explanation:
[tex]C^{2}[/tex] - [tex]B^{2}[/tex] = [tex]A^{2}[/tex]
[tex]6.1^{2}[/tex] - [tex]1.1^{2}[/tex] = 36
[tex]\sqrt{36}[/tex] = 6
Heyy I need help with these two questions for math before he emails my mom saying i didnt do my work bc my brain isnt working properly rn
Answers
Answer:
4 pieces and B
Step-by-step explanation:
Answer: The answer to the first one is probably 8.
Step-by-step explanation:
I just read the problem and saw it as a division problem. I then divided 4/6 by 1/12. I ended up with 8, if this is wrong i'm incredibly sorry.
Please solve this problem if u are brainliest
Answers
Answer:
Step-by-step explanation:
2. 3x-1/3 = 5
+1/3 +1/3
___________-
3x= 5 1/3
÷3 ÷3
__________________
x=1.77777777778
5. 3x-9=5x-3
+3 +3
_____________-
3x-6=5x
-3x -3x
_______________-
-6=2x
÷2 ÷2
______________-
-3=x
8. 3x-2x=8 ( I crossed multiplied btw)
x=8
Hope this helps ∞<3
Which of the following equations shows the commutative property of multiplication?
A.8x0=0
B.3 x 11 = 11 x 3
C.7 + 7 + 7 = 3 x 7
D.(4 x 2) x1 = 4 x (2 x 1)
Answers
Answer: D.(4 x 2) x1 = 4 x (2 x 1)
If triangle ABC has the following angle measurements, what is the set-up to solve for x?
∠A= 4x - 17
∠B= 3x + 8
∠C= x + 13
4x - 17 + 3x + 8 + x + 13 = 180
4x - 17 = 3x + 8 + x + 13
4x - 17 - 3x + 8 - x + 13 = 180
4x - 17 - 3x + 8 - x + 13 = 180
Answers
Answer:
A
Step-by-step explanation:
The answer is the first one. We've used that in previous questions.
B is wrong. It needs to be equal to something (180 in this case). B is also saying that the first angle is = to the sum of the other two. Not so.
C is wrong. the third angle's x term has to be plus.
D has the same problem.
Please answer question... if it is good will give brainliest
Answers
^2 = SQUARED( to the second power)
Answer:
2. 2x times 2x equals 4x^2 since x times x equals x^2(and 2 times 2 equals 4. then positive i times negative i equals -i^2 which can transfer to be 1.
Step-by-step explanation:
2. 2x * 2x = 4x^2
+i * -i = -i^2
-i^2 can be transferred into positive 1.
i is a variable. if you divide -i^2 by -i, then that equals i, which is 1.
3. The same thing as 2.^
1 squared is 1. i squared is i^2. i^2 divided by i is i. i is 1. 1+1 is 2. Now put the 2 infront of the i to make 2i.
Let Me Know if anything went wrong :)
will give 50 points!
Torren deposits $4500 in an account earning 2% interest, compounded annually. The equation that represents this situation is
A(n)=4500(1+0.02)^n-1
How much will he have in the account at the beginning of year 8? Round your answer to the nearest dollar
A. $5169
B. $16,124
C. $32,130
D.$5272
Answers
Answer:
the answer is D
Step-by-step explanation:
hopes it helped^^
Thank you guys have been so helpful!
Tell me what your favorite color.
Answers
The sum of eleven and three times a number is equal to twenty six
Answers
Answer:
3x5+11 equals 26
Step-by-step explanation:
Then she needs to find her "heart rate reserve" h by subtracting her average resting heart rate
r from her maximum heart rate m. Write an equation she can use.
Answers
Answer:
What this makes no sense
Step-by-step explanation:
A cell phone plan costs 28.70$ per month for minutes of talk time. It costs an additional $0.05 per minute for each minute over 700 minutes. To get e-mail access, it costs 30% of the price for 700 minutes of talk time. Your bill, which includes e-mail, is the same each month for months. The total cost for all months is $326.48. Write and solve an equation to find the number of minutes of talk time you use each month.
Answers
Answer:
Total number of minutes= 6,483
Step-by-step explanation:
Giving the following information:
Fixed cost (700 minutes)= $28.7
E-mail= (28.7*0.3)= $8.61
Cost per minute (over 700)= $0.05
Total cost= $326.48
First, we establish the total cost formula:
Total cost= 28.7 + 8.61 + 0.05*x
x= number of minutes over 700
Now, we need to calculate the number of minutes over 700:
326.48= 28.7 + 8.61 + 0.05x
289.17=0.05x
5,783 = x
Total number of minutes= 700 + 5,783
Total number of minutes= 6,483
can anyone help me with maths please?
#surfacearea
Answers
Answer:
773 or 278.5 (if it only wants the sides the pic shows)
Step-by-step explanation:
13*5=65
65/2=32.5 (since it is a triangle you by 2)
12*9=108
108/2=54
15*20=300 (it is a square so you leave it)
you do it on the other sides that you can't see in the pic.
Add all the numbers together: 32.5+32.5+54+54+300+300 or 32.5(2)+56(2)+300(2)=773
Hope this helps!
Are these triangles congruent? If so, state why. Choose the correct answer.
Answers
Answer: C) The triangles are not congruent
======================================================
Explanation:
At first glance, they seem to be congruent. However, we simply don't have enough information to say yes or no.
Note how VT = VT by the reflexive theorem. This is the shared overlapping sides.
The tickmarks indicate WT = VU is another pair of congruent sides.
Finally, the red arcs indicate angles TWV and VUT are congruent.
We have two pairs of congruent sides and a pair of congruent angles; however, the angles are not between the congruent sides. Recall that SSA is not a valid congruence theorem. This is because SSA could lead to ambiguity.
So that's why we don't have enough info to say if they are congruent or not. That's why choice C is the best answer.
Write the equation in slope-intercept form.
6x + 9y = 27
Answers
Answer:
y=-2/3x+3
Step-by-step explanation:
First subtract 6x from both sides and make it 9y=-6x+27
Secondly, divide both sides by 9 making the equation y=-2/3x+3
Answer:
y = -2/3x + 3
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
Standard Form: Ax + By = C
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
[SF] 6x + 9y = 27
Step 2: Rewrite
Find slope-intercept form.
Subtract 6x on both sides: 9y = -6x + 27Divide 9 on both sides: y = -2/3x + 3t-6= -12
8
I NEED HELP ASAP
Answers
Answer:
Step-by-step explanation:
t
=
−
122
I need the answer if possible
Answers
Answer:
Move each point 2 left then 3 up then connect the dots
Step-by-step explanation:
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. In a particular region of a national park, there are currently 330 deer, and the population is increasing at an annual rate of 11% a. Write an exponential function to model the deer population in terms of the number of years from now. B. Explain what each value in the model represents . . Predict the number of deer that will be in the region after five years. Show your work.
Answers
Answer:
Formula : V = I (1 + R)^T , Deers after 5 years ≈ 556
Step-by-step explanation:
Exponential formula for final value 'v' - for initial value 'i' at growth rate 'r' for a period of time 't'
V = I (1 + R)^T
As per given deer case, I = 330 & R = 11% = 0.11
V = 330 ( 1 + 0.11 )^t
Predicted deers after 5 years, V = 330 (1.11)^5
330 x 1.685 = 556.05
Make a reasonable estimate for the situation. A snail moves at a speed of 3.395 inches per minute. If the snail keeps moving at this rate, about how many inches will it travel in 6.187 minutes?
Answers
Answer:
Distance = 21.0049 inches
Step-by-step explanation:
Given the following data;
Speed = 3.395 inches per minute.
Time = 6.187 minutes
To find the distance;
Distance = speed * time
Substituting into the equation, we have;
Distance = 3.395 * 6.187
Distance = 21.0049
It is given that set W = { x, y, z).
What is the subset of set W?
Answers
Answer:
Please check the explanation.
Step-by-step explanation:
Given the set W = {x, y, z}
If there are n elements in a set, then are 2ⁿ subsets.
As there are 3 elements in a set, then are 2³ or 8 subsets.
so
W = {x, y, z} has 8 subsets.
They are:
∅, {x}, {y}, {x}, {x, y}, {x, z}, {y, z}, and {x, y, z}
Please note that any subset of the set W = {x, y, z} contains all the elements which are also the elements of the set W = {x, y, z}16.8 is 10% of what number? Someone help TWT
Answers
Answer:
168
Step-by-step explanation:
16.8 = 10%
x = 100%
To get to 100%, you have to multiply 10 by ten and 16.8 by 10. Like this:
16.8 = 10% original equation
16.8 (10) = 10% (10) * both sides by 10
168 = 100% simplify
:3))
Answer:
168 :)
Step-by-step explanation:
16.8 is 10% of 168
I hope this helps, have a nice day/night, much love, xo, nm <3
Jonas runs A store that sells guinea pigs he wants to ensure that he has more than 1 pound of dry food for every five guinea pigs he has in the store he currently has 8 pounds of dry food and wants to know how many guinea pigs can he have in the store right and solve the inequality to solve the problem what is the solution to the inequality
Answers
Answer:
x ≤ 40
Step-by-step explanation:
Pounds of food : number of guinea pigs
1 pound : 5 guinea pigs
8 pounds : x guinea pigs
Where,
x = number of guinea pigs at 8 pounds of food
Inequality:
1 : 5 ≤ 8 : x
1/5 ≤ 8/x
Cross product
1*x ≤ 5*8
x ≤ 40
The solution to the inequality is
x ≤ 40
Answer:
B :)
Step-by-step explanation:
help then you got them brains!
Answers
Answer:
its a
Step-by-step explanation:
8 divided by 1.6 is 5 , have a good day <3
If the point (x, y) is in Quadrant I, which of the following must be true?
Answers
Answer:
Both numbers (the x, and the y) must be positive
Step-by-step explanation:
eremy works two jobs. He makes $8/hr working at a deli and $12/hr working for a landscaper. Let x represent the number of hours he works at the deli, and let y represent the number of hours he works for the landscaper. What do the solutions of the inequality represent?
combinations of the hours he can work at the two jobs and earn at least $300
combinations of the hours he can work at the two jobs and earn at most $300
combinations of the hours he can work at the two jobs and earn less than $300
combinations of the hours he can work at the two jobs and earn more than $300
Answers
Answer:
A.) combinations of the hours he can work at the two jobs and earn at least $300
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
The length of the second side of a triangle is twice the length of the first side. The length of the third side is 4 units more than the first side. The perimeter of the triangle is 52 units. How long is each side, and how do you determine that?
Answers
Answer:
First side = 12 units
Second side = 24 units
Third side = 16 units
Step-by-step explanation:
First, we can assign variables for each side of the triangle to make it easier:
A = side 1
B = side 2
C = side 3
The length of the second side of the triangle is twice the length of the first side, so we know that B is twice the length of A. We can represent this in an equation like this:
B = A * 2
The length of the third side is 4 units more than the first side. This tells us that C is going to be 4 more than A:
C = A + 4
And finally, the perimeter of the triangle is 52 units. Since the perimeter is just all the sides added together, we can create this equation:
A + B + C = 52
To start solving for lengths, I'm going to plug in the first two equations we got into the third equation:
A + B + C = 52
A + (A * 2) + (A + 4) = 52
1A + 2A + 1A + 4 = 52
4A + 4 = 52
4A = 48
A = 12
Now that we know what A is, we can solve for the other two variables:
B = A * 2
B = 12 * 2
B = 24
C = A + 4
C = 12 + 4
C = 16
Now we have all three variables, just don't forget what the variables represent (first side, second side, third side).
What is the slope of this line?
A. 2
B. -1/2
C. 1/2
D. -2
Answers
Given the set of test scores: 42, 72, 74, 78, 80, 80, 85, 88, 92. If the outlier is removed, which statement is true? Select all that apply.
Choose all that apply:
The standard deviation decreases.
The mean increases.
The median decreases.
The range increases.
Answers
Answer:
Standard deviation decreases and mean increases
Step-by-step explanation:
The test scores are:
42, 72, 74, 78, 80, 80, 85, 88, 92
Mean = (42 + 72 + 74 + 78 + 80 + 80 + 85 + 88 + 92)/9 = 76.77
Median is 5th term which is 80
Range is highest score - lowest score = 92 - 42 = 50
Standard deviation from an online calculator gives 13.69
Now,we want to know what happens to those values when the outlier is removed. The outlier in this case is 42 because it is not consistent with other scores which range from 72 - 92.
Thus,the new set of scores are;
72, 74, 78, 80, 80, 85, 88, 92
New Mean = (72 + 74 + 78 + 80 + 80 + 85 + 88 + 92)/8 = 81.125
New Median will be the average of the 4th and 5th term which is (80 + 80)/2 = 80
New Range = 92 - 72 = 20
New Standard deviation from an online calculator gives 6.39
From the comparison above when the outlier is removed, we can say that;
- Mean increases
- remains the same
- Range decreases
- standard deviation decreases