Find the EXACT perimeter and EXACT area of triangle ABC (meaning radical form) BD=3 *will give brainliest*
Answers
Answer:
Perimeter = 4.5√3 + 4.5
Area = 3.375√3
Step-by-step explanation:
Well you can first see that triangle ABC is a 30°60°90° triangle.
Since angle A is 60 and it is bisected, you will have a small 30°60°90° triangle and a 120°30°30° triangle.
You can say that DA is congruent to BD by Base Angle Theorem.
DA = 3
By using the ratios of the sides of the 30°60°90° you get that CD is 1.5 and CA is 1.5√3
CD = 1.5
CA = 1.5√3
BC = 4.5
Area = (4.5 * 1.5√3) / 3 = 6.75√3 / 2
Area = 3.375√3
By using the 30°60°90° ratio again, you get that BA = 3√3
Perimeter = 1.5√3 + 3√3 + 4.5
Perimeter = 4.5√3 + 4.5
I'm not 100% sure that the answer is right so check it.
Related Questions
Write an equation to represent the following statement.
The sum of j and 47 is 55
.
Answers
Answer:
j + 47 = 53
Step-by-step explanation:
The sum of j and 47 is 55
.so it’s 66
I know this is like the 700th question I've asked
Answers
Answer:
BC = 15
Step-by-step explanation:
Because of parallel lines, AD and BE, triangles ADC and BEC are similar.
In similar triangles, the lengths of corresponding sides are proportional.
AC/BC = DC/EC
We see that AC = AB + BC = 3 + BC
Also, DC = DE + EC = 2 + 10 = 12
(3 + BC)/BC = 12/10
(3 + BC)/BC = 6/5
Cross multiply.
5(3 + BC) = 6BC
15 + 5BC = 6BC
15 = BC
BC = 15
What is −48−−−−√ in simplest form?
Answers
Answer:
[tex] 4i \sqrt{3} [/tex]
Step-by-step explanation:
[tex] \sqrt{-48} = [/tex]
[tex] = \sqrt{-1} \times \sqrt{16 \times 3} [/tex]
[tex] = i \times \sqrt{16} \times \sqrt{3} [/tex]
[tex] = i \times 4 \times \sqrt{3} [/tex]
[tex] = 4i \sqrt{3} [/tex]
PLEASE HELP
Find the surface area of the triangular prism.
Answers
Answer:
139
Step-by-step explanation:
First, find all the faces that you must find the areas of. In this case, you need to find the areas of two triangles and three rectangles.
In this triangular prism, the base is one triangle. If the area of the base is 7.75, we can assume that that holds true for both bases, and multiply 7.75 by 2 in order to find the area of both triangles.
Now find the area of each of the three rectangles by multiplying their individual heights and bases by each other. You should get 38, 47.5, and 38 as the areas of the rectangles.
Now add all the individual area's together. (They're bolded for clarity).
Can you help me with this scatter plot question please?
Answers
Answer:
There is a outlier and a negative relationship.
Step-by-step explanation:
negative shows that it goes from top to bottom and left to right (unless some numbers are switched around.) with this we also notice that there is a dot that is away from the group (the outlier)
You deposit $600 in a savings account. the account earn 4% simple interest per year.
Answers
Answer:
use some memes juice
Step-by-step explanation:
memes
A, B & C form a triangle where BAC = 90° . AB = 7.3 mm and CA = 7.4 mm. Find the length of BC giving your answer rounded to 1 DP.
Answers
Answer:
BC ≈ 10.4 mm(1 decimal)
Step-by-step explanation:
The question forms a right angle triangle. The angle BAC = 90°. The side AB = 7.3 mm and the side CA = 7.4 mm. The length of BC can be solved below.
AC = opposite side = 7.4 mm
AB = adjacent side = 7.3 mm
BC = hypotenuse = ?
Using pythagoras theorem we can find the longest side which is the hypotenuse
c² = a² + b²(pythagoras formular)
where
c = hypotenuse side
BC² = 7.4² + 7.3²
BC² = 54.76 + 53.29
BC² = 108.05
square root both sides
BC = √108.05
BC = 10.3947101931
BC ≈ 10.4 mm(1 decimal place)
HELP PLZZ Which of the following actions will always be independent events?
selecting two cards from a standard deck, one at a time
selecting two marbles from a bag, one at a time
flipping two coins, one at a time
picking two letter tiles from a hat, one at a time
Answers
Answer:
The third one i think. They are separate.
Step-by-step explanation:
Answer:
C: Flipping two coins, one at a time.
Explanation:
A, B, and D all include all different objects like Cards, Marbles, and Letter tiles. These are all items of quantity. Flipping two coins is independent because they are singular objects (that aren't inside of a bag or a hat).
Domain and Range for the graph please
Answers
Answer:
Domain: 0 ≤ x ≤ 5
Range: 4 ≤ y ≤ -1
Step-by-step explanation:
Since the graph is not infinite and ends in two points, the domain and range are also not infinite where there is a range of numbers that the domain and range of the graph fall into. Hope this helps!!
how much interest is earned on $1470 at 4% for six months
Answers
Answer:
$29.4
Step-by-step explanation:
I assume the question is based on simple interest since you didn't specify
Using simple interest
Simple interest=P×R×T
Where,
P=principal=$1470
R=interest rate=4%=0.04
T=time=6 months=0.5 year
Simple interest=P×R×T
=1470×0.04×0.5
=29.4
Interest earned=$29.4
can someone teach me how to do this?
Answers
Step-by-step explanation:
[tex]pythagorean \: theorem \\ {hypothenes}^{2} = { {x}^{2} + {y}^{2} } \\ {17}^{2} = {x}^{2} + {15}^{2} \\ 289 = {x}^{2} + 225 \\ {x}^{2} = 64 \\ x = 8cm[/tex]
what is the answer to this
Answers
Answer:
5 over 4x
i used photomath so it should be right
Joe receives an average of 780 emails in his personal account and 760 emails in his work account each month. After changing his addresses, the number of emails in his personal account decreases by 10% and the number of emails in his work account decreases to 722 each month. Question .How can Joe calculate the number of emails he will receive each month in his personal account after changing his address?
Answers
Answer:
702 emails
Step-by-step explanation:
This problem bothers on depreciation of value, in this context it is Joe's email that has depreciated by 10%.Given data
Average personal emails received monthly = [tex]780 emails[/tex]
Average work emails received monthly[tex]= 760 emails[/tex]
We are required to solve for the new amount of emails Joe will be receiving after changing his address, to find this value we need to solve for the depreciation of his personal mails.
After solving for the depreciation , we then need to subtract the depreciation from the initial number of mails to get the new number of mails.
let us solve for 10% depreciation.
[tex]depreciation= \frac{10}{100} *780\\depreciation=0.1*780= 78 emails[/tex]
The new number of mails
[tex]= initial number of mail- depreciation\\ =780-78= 702 emails[/tex]
Joe will be receiving an average of 702 emails in his personal account monthly
Simply by using order of operations 4+(9•2)+(4-1)-4
Answers
Answer:
21
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
4+(9•2)+(4-1)-4
PEMDAS says parentheses first
4+(18)+(3)-4
Then add and subtract from left to right
22 +3-4
25 -4
21
HCF(320, x) = 20, LCM(320, x) = 2240, then x =
Answers
Answer:
140
Step-by-step explanation:
When working HCF and LCM problems, I like to think in terms of this little diagram:
(a [ b ) c]
It shows me one of the numbers is ab, the other is bc, the HCF is b and the LCM is abc. "a" and "c" must be relatively prime for "b" to be the HCF.
__
Here, we're given ...
b = 20
ab = 320
abc = 2240
Then ...
c = abc/(ab) = 2240/320 = 7
x = bc = 20(7) . . . . . . equivalently, x = (abc·b)/(ab) = (2240·20)/320
x = 140
correct answers only!
To the nearest cent, how much will she have in 3 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answers
Answer:
$13,260
Step-by-step explanation:
B = 3000(1 + 0.14)t = 3(1.14)t
Plugging in 3 for t, we get B = 3000 * 1.14 * 3 = 10,260. This is just the interest though. We still have to add back the original $3,000, and when we do so, we get 3000 + 10260 = $13,260. Hope this helps!
Answer:
4444.63
Step-by-step explanation:
B = 3000(1 +0.14)^3
B = 3000(1.14)^3
B =4444.632 or 4444.63
Calcula la distancia "d" que debe recorrer un obrero para llegar hasta el punto mas alto de la rampa si dicha rampa mide 25 metros de base y tiene un angulo de inclinación de 21º en la subida y 28º en la bajada
Answers
Answer:
Step-by-step explanation:
A soccer player makes 85% of her penalty kicks during her career. If she scores 51
times on penalty kicks, how many penalty kicks did she attempt?
Answers
Answer: 60 total penalty kicks
Step-by-step explanation:
She makes 51 = 85% of her penalty kicks. If 51 = 85% of x, how much is 100% (total penalty kicks)?
51 = 0.85x
x = 51/0.85 = 60 total penalty kicks
HELP!! Deadline is this afternoon!!!
Find the area of a circle with diameter 18in . Use the value 3.14 for pie , and do not round your answer. Be sure to include the correct unit in your answer.
Answers
Answer:
254.34[tex]inches^2[/tex]
Step-by-step explanation:
The formula for the area of a circle is : [tex]\pi*radius^2[/tex]
The radius is the length from the side to the centre.
Pi=3.14
In order to work out the area you would first need to work out the radius. You can do this by dividing the diameter of 18 by 2, this gives you 9. This is because the radius is half of the diameter.
Now that we have worked out the radius the next step is to work out the area. You can do this by multiplying pi by the radius of 9 squared, this gives you 254.34 inches squared.
1) Divide 18 by 2.
[tex]18/2=9inches[/tex]
2) Multiply pi by 9 squared.
[tex]\pi*9^2=254.34inches^2[/tex]
First find the radius, 9
Times the 9 by itself, 81
81 times pi, 254.34
What is the volume of a hemisphere with a diameter of 47.5 m, rounded to the nearest tenth of a cubic meter?
Answers
Answer:
28043.3 [tex]m^{3}[/tex]
Step-by-step explanation:
Formula for volume of a hemisphere can be termed as:
[tex]V = \dfrac{2}{3} \pi r^{3}[/tex]
where [tex]r[/tex] is the radius of hemisphere
Please refer to the figure attached for the sample figure of a hemisphere.
We are given here, diameter of hemisphere = 47.5 m
Relation between diameter and radius is given as :
[tex]r = \dfrac{d}{2}[/tex]
where, [tex]r[/tex] is the radius and
[tex]d[/tex] is the diameter.
So, [tex]r = \dfrac{47.5}{2}\ m[/tex]
Volume is:
[tex]V = \dfrac{2}{3} \pi (\dfrac{47.5}{2})^3\\\Rightarrow \dfrac{2}{3} \times 3.14 \times (\dfrac{47.5}{2})^3\\\Rightarrow 28043.3\ m^3[/tex]
Hence, volume of given hemisphere is 28043.3 [tex]m^{3}[/tex].
Answer:
Step-by-step explanation:
What is the volume of a hemisphere with a diameter of 37.6 m, rounded to the of a cubic meter?
\text{Volume of a Sphere:}
Volume of a Sphere:
V=\frac{4}{3}\pi r^3
V=
3
4
πr
3
\text{radius} = \frac{\text{diameter}}{2} = \frac{37.6}{2}=18.8
radius=
2
diameter
=
2
37.6
=18.8
meters
\text{Plug in:}
Plug in:
\frac{4}{3}\pi (18.8)^3
3
4
π(18.8)
3
27833.1369876
27833.1369876
Use calculator
\text{Volume of Hemisphere HALF of Volume of Sphere:}
Volume of Hemisphere HALF of Volume of Sphere:
\frac{27833.1369876}{2}
2
27833.1369876
Divide volume by 2
13916.5684938
13916.5684938
\approx 13916.6\text{ m}^3
≈13916.6 m
3
Round to the nearest tenth
x/a+x/b=1
make x the subject of the formular
Answers
Answer:
x = [tex]\frac{ab}{b+a}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x}{a}[/tex] + [tex]\frac{x}{b}[/tex] = 1
Multiply through by ab to clear the fractions
bx + ax = ab ← factor out x from each term on the left side
x(b + a) = ab ← divide both sides by (b + a)
x = [tex]\frac{ab}{b+a}[/tex]
Which expression equals 9 cubed square root 10
Answers
Answer:
B
Step-by-step explanation:
Which equation represents the circle shown?
Answers
Answer:
A. i think
Step-by-step explanation:
because it can't be E. (there is no 3 in-between the circle) And it can't be D. Because there isn't a 16 inbetween the circle and plus etc! and it could be C. also, because it is 4 and 4 is in-between the circle but, the difference between the answer A and C is the plus sign or the minus sign so let's think about that, it could be A or C............A. says (x-3)2 + (y-3)2=4 that seems correct and C. says (x+3)2 + (y+3)2 = 4.......we do not add in this case so it is definitely A. :)
Answer:
(x − 3)2 + (y − 3)2 = 4
Step-by-step explanation:
Who were the tributes paid to?
Answers
Answer:
The Aztecs made conquered people pay tributes, and asked cities, states, and countries to pay.
Hope this helps :)
Do question 9 for 18 points.
Answers
Answer:
yes
no
yes
yes
no
no
yes
no
yes
yes
sry if I am wrong
Suppose a pyramid's dimensions are tripled. What is the ratio of this new, larger pyramid's volume to that of the
original pyramid?
Answers
Answer:
27:1
Step-by-step explanation:
If the dimensions of the original pyramid are tripled then the ration between the new, larger pyramid and the old one would be 27:1 . This can be calculated by first calculating the volume of a pyramid and then doing the same but with dimensions 3 times the old one. Then divide the volume of the new one with that of the old one.
Volume of Pyramid = [tex]\frac{length * width * height}{3}[/tex]
Volume Pyramid 1 = [tex]\frac{3*3*3}{3}[/tex] = 9
Volume Pyramid 2 = [tex]\frac{9 * 9 * 9}{3}[/tex] = 243
243/9 = 27/1 or 27:1
Answer:
The new volume is 27 times the original volume.
Edgenuty
Find 5/12 of 24 a.20 b.10 c.12 d.15
Answers
Answer:B10
Step-by-step explanation: When they say the expression 5/12 of 24, they were asking you to divide 5 by 12 and then multiply the amount by 24.
If you found this answer helpful, give it a five-star rating and a thanks!
(Even a brainliest if you feel like it! ;D)
Answer:
10
Step-by-step explanation:
A craft project requires 5/6 yard of ribbon to make 4 refrigerator magnets. How many inches of ribbon are needed for each magnet?
Answers
Answer:
30 inches/4=7.5 inches
Step-by-step explanation:
Answer:
7.5 inches
Step-by-step explanation:
Since we need 4 magnets and we use 5/6 yards, it is easier to convert 5/6 yards into inches first. One yard=36 inches, so we used overall of 30 inches for every magnet. Simply divide 30/4 to get 7.5 inches
4 + (-6) =
-6 +(-5)=
Answers
Answer:
4 + (-6) = -2
-6 +(-5)=-11
Step-by-step explanation:
4 + (-6) = 4-6=-2
-6 +(-5)= -6-5 = -11
If d(x)=9x^2 and g(x)=5x+7 then d(x)-g(x) can be rewritten as
Answers
Answer:
[tex]9x^2-5x-7[/tex]
Step-by-step explanation:
[tex]d(x)=9x^2\\g(x)=5x+7\\d(x)-g(x)=\\(9x^2)-(5x+7)=\\9x^2-5x-7[/tex]
Hope this helps!
Answer:
[tex]9x^{2} -5x-7[/tex]
Step-by-step explanation: