Answer:
there is nothing just a a codding log
Step-by-step explanation:
Given: △ABC, m∠A=60°,
m∠C=45°, AB=9
Find: Perimeter of △ABC,
Area of △ABC
Answer:
Perimeter of ΔABC: [tex]\frac{27}{2}[/tex] + [tex]\frac{9}{2} * \sqrt6[/tex] units
Area of ΔABC: [tex]\frac{81}{8}*\sqrt3 + \frac{243}{8}[/tex] units
Skills required: HS Geo, Special Triangles
Step-by-step explanation:
1) The best option is to break down this triangle. Let's draw an altitude from Point B down to Segment AC. The point from the altitude that intersects AC is Point D. BD is the height of our triangle, AC is the base.
2) Angle A is 60 degrees, and since Angle BDA is 90 degrees, Angle ABD is 30 degrees. We can use the 30-60-90 degree right triangle property for the triangle BDA.
This states that if the side opposite the 30 degree angle is [tex]x[/tex], the side opposite the 60 degree angle is [tex]x*\sqrt3[/tex], and the side opposite the 90 degree angle is [tex]2x[/tex].AB is 9 units, and it is opposite the 90 degree angle. This means that [tex]2x=9, x = \frac{9}{2}[/tex] ==> This then means that AD, the segment opposite the 30 degree angle in this triangle is [tex]\frac{9}{2}[/tex] units. Segment BD (the height) is [tex]\frac{9}{2} * \sqrt3[/tex].
3) Angle C is 45 degrees, and Angle BDC is 90 degrees, which means that Angle CBD is 45 degrees. We can use the 45-45-90 degree right triangle property for the triangle BCD.
This states that if the side opposite the 45 degree angle is [tex]x[/tex], the other side opposite a 45 degree angle is also [tex]x[/tex], but the hypotenuse (side opposite the right (90 degree) angle) is [tex]\sqrt{2}*x[/tex].BD is [tex]\frac{9}{2} * \sqrt3[/tex], which means DC is the same. BC, which is the hypotenuse is BD multiplied by square-root-2, which is [tex]\frac{9}{2} * \sqrt6[/tex].
4) Area is [tex]\frac{1}{2}*b*h[/tex], the base (b) is AC (which is [tex]\frac{9}{2}+\frac{9}{2}*\sqrt3[/tex]), the height is BD ([tex]\frac{9}{2}*\sqrt3[/tex]). When multiple you will get [tex]\frac{81}{4}*\sqrt3 + \frac{243}{4}[/tex], then this multiplied by 1/2 is
[tex]\frac{81}{8}*\sqrt3 + \frac{243}{8}[/tex] <--> this is the area!
5) Perimeter is just the sum of all side: 9 + [tex]\frac{9}{2}[/tex] + [tex]\frac{9}{2} * \sqrt6[/tex] = [tex]\frac{27}{2}[/tex] + [tex]\frac{9}{2} * \sqrt6[/tex] unit
Find the solution to the following system using substitution or elimination:
y = -x + 10
y= 7x+ 2
O A. (1, - )
O B. (1,9)
O C. (,1)
O D. (9,65)
Answer:
B
Step-by-step explanation:
y = - x + 10 → (1)
y = 7x + 2 → (2)
Substitute y = 7x + 2 into (1)
7x + 2 = - x + 10 ( add x to both sides )
8x + 2 = 10 ( subtract 2 from both sides )
8x = 8 ( divide both sides by 8 )
x = 1
Substitute x = 1 into either of the 2 equations and solve for y
Substituting into (2)
y = 7(1) + 2 = 7 + 2 = 9
solution is (1, 9 ) → B
PLEASE HELP!! the polynomial expression x(2x^2+15)(4x^2+5x+3 where x is in inches can be used to model the number of cubic inches of cement that will be needed for a new porch. The cement contractor used 2 for the value of x. Determine the dimensions in inches of the cement needed for the porch. Height(shortest length side) width(medium length side) and length(longest length side)
Answer:
height 2 incheswidth 23 incheslength 29 inchesStep-by-step explanation:
For x=2, the dimensions are ...
height = x = 2 inches
width = 2x² +15 = 2(2²) +15 = 8 +15 = 23 inches
length = 4x² +5x +3 = (4x +5)x +3 = (4·2 +5)2 +3 = 29 inches
To make cherry trail mix, Sebastián needs 4 oz of nuts for every 3 oz of dried
cherries. To make sunflower trail mix, he needs 5 oz of nuts for every 2 oz of
sunflower seeds. Can Sebastián make more cherry trail mix or sunflower trail mix
with 20 oz of nuts? Show your work.
The number of servings that can be obtained from the 20 oz of nuts is given by the number of 4s and 5s in 20.
Sebastian can make more cherry trail mixReasons:
The given recipe are;
1 cherry trail mix = 4 oz. of nuts + 3 oz. of dried cherries.
1 sunflower trail mix = 5 oz. of nuts + 2 oz. of sunflower seeds
The number of cherry trail mix Sebastian can make with 20 oz. of nuts is therefore;
[tex]\displaystyle Number \ of \ cherry \ trail \ mix = \mathbf{ \frac{20 \ oz \ of \, nuts}{4 \ oz \, of \, nuts \, per \, cherry \ trail \, mix }} = 5 \ cherry \ trail \ mix[/tex]
The number of cherry trail mix that can be made with 20 oz. of nuts = 5 cherry trail mixes
[tex]\displaystyle Number \ of \ sunflower \ trail \ mix =\mathbf{ \frac{20 \ oz \ of \, nuts}{5 \ oz \, of \, nuts \, per \, sunflower\ trail \, mix }}[/tex]
[tex]\displaystyle \frac{20 \ oz \ of \, nuts}{5 \ oz \, of \, nuts \, per \, sunflower\ trail \, mix } = \mathbf{4 \ sunflower \ trail \ mix}[/tex]
The number of sunflower trail mix that can be made with 20 oz. of nuts = 4 sunflower trail mix
Therefore;
Sebastian can make more cherry trail mix than sunflower trail mix with 20 oz. of nuts.
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A plane flies at x miles per hour in still air. Flying with a tailwind, its speed is 35 miles per hour. Against the wind, its air speed is only 445 miles per hour. hat is the speed of the wind?
Answer:
Step-by-step exklamatorisks:
Tank you
Is 30 squared, 10 squared, 50 squared, 30 squared, or 60squared closest to 5?
Answer:
if you are dividing by 2 then 10 is closer but if you multiplying .. 10 is still closer
Suppose x=7 is a solution to the equation 4x-2(x+a)=8 how can you find the value of a that make the equation true
Answer:
a = 3
Step-by-step explanation:
Since x = 7 is a solution, substitute x = 7 into the equation and solve for a
4(7) - 2(7 + a) = 8 , that is
28 - 2(7 + a) = 8 ( subtract 28 from both sides )
- 2(7 + a) = - 20 ( divide both sides by - 2 )
7 + a = 10 ( subtract 7 from both sides )
a = 3
The children at Lincoln School go outside for recess if the temperature is 3°C or higher for what temperature will the students go outside? Write an inequality to represent this situation and then graph the solution
Answer:
it has to be 37.4 degrees or higher. An inequality would be X≥37.4
step-by-step explanation:
Please Help Me please
Answer:
the 3 one
Step-by-step explanation:
How can we use the distributive property to find an expression equivalent to 4(5−3x)? Place the steps in order.
Answer:
1-12-x-+1
Step-by-step explanation:
so you divided 2 by 4 then 1 after that 12 and boom
The equivalent expression for 4(5−3x) is ( 20 - 12x).
What is distribution property?This states that multiplying the sum of two or more addends by a number produces the same result as multiplying each addend separately by the number and then adding the products together.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that the expression is 4(5−3x). The expression by distribution property will be solved as,
E = 4(5−3x)
Multiply by 4 in the whole equation,
E = ( 4 x 5 - 4 x 3x )
E = 20 - 12x
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#SPJ2
8 (x minus 2) = 64. 8 x minus 16 = 64. 8 x = 80. x = 10.
Which property is used in the last step to find that x = 10?
Answer:
Inverse Property of Multiplication
Step-by-step explanation:
Inverse Property of Multiplication is when you do inverse operations to get rid of a multiplied number (if that makes any sense). to solve 8x = 80 you do the inverse of multiplying by 8 (divide both sides of the equal sign by 8) to get x=10.
WILL GIVE BRAINLIEST
Answer:
you can do this unless x is given
Step-by-step explanation:
since we don't know what x equals this is practically impossible. so if u can put whay x equals in the picture
At a school, 40% of the sixth-grade students said that hip-hop is their favorite kind of music. If 100 sixth-grade students prefer hip hop music, how many sixth-grade students are at the school? Explain or show your reasoning.
Answer:
250 because 250 times .4 equals 100
Step-by-step explanation:
HELP PLEASE!!
1. Olivia sold water bottles over four days. Create a graph to determine if
the quantities of bottles and number of days are proportional If the
quantities are proportional, what is the constant of proportionality?Olivia sold water bottles over four days. Create a graph to determine if
the quantities of bottles and number of days are proportional If the
quantities are proportional, what is the constant of proportionality?
Answer:
68 got it right on the test!!!
Step-by-step explanation:
3+1=5
false or true
brailest and points
Answer:
FALSE
Step-by-step explanation:
PLZ MARK BRAINLIOEST
76 % of 150 calculate this
QUICKKKKK DJWKCJKWFN
Step-by-step explanation:
just take from me..your most best and smarties person ever...i don't know the answer
can someone help me for this?
Answer:
500000N=2m
x. =6m
cross multiply, it'll be
6×50000÷2
=150,000N
The difference between a and 10 is less than 5
How i can answer this questions
Answer:
B and C
Step-by-step explanation:
[tex]2(b+3c) =(b+3c)+(b+3c) = 2b +2(3c)[/tex]
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
x + 2y = -16
Answer:
y = -1/2x - 8
Step-by-step explanation:
You are looking for the equation in the form of y=mx + b, so you need y on the left hand side without x. Subtract x from both sides.
2y = -x - 16
Now you want 1y instead of 2y. So divide everything by 2.
y = -1/2x - 8
Please answer 1 and 2
Will mark brainliest!!!!
Answer:
1. No they are not parallel
2. no they are not perpendicular
Step-by-step explanation:
1. the slope for p is 5/2 mean while the slope for o is 4/2 therefore they are not parellel because the slopes are different
2. the slope for m is 2/1 and the slope for k is 3/5. inorder for them to be parelle for slope for k would have to be -1/2 and m would be 2/1 OR the slope for k would be 3/5 and the slope for m would be -5/3
How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!
Answer:[tex]x^{-2}[/tex]
Have attached the solution below for better understanding of the question, hope that helps:
someone help!
what is y?
60
random stuff because the answer has to be 20 characters long
Answer:
y= 160°
Step-by-step explanation:
as we can see, the corresponding angles are both 20°
a straight line is 180°
180-20= 160
that's you're answer
The winner of the local triathlon swam 0.5 miles, biked 15 miles and ran 2.5 miles. He finished the race in 54 minutes. For the entire triathlon, what was his average speed in miles per hour?
Answer:
15 or 15.546
Step-by-step explanation:
you add all the numbers then divide by 54
Based on the information given, the speed is 20 miles per hour.
From the information given, the winner of the local triathlon swam 0.5 miles, biked 15 miles and ran 2.5 miles and he finished the race in 54 minutes.
Note that 54 minutes = 0.9 hour.
The speed will be:
= (0.5 + 15 + 2.5) / 0.9
= 18/0.9
= 20 miles per hour.
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Simplify for x: 2/3 = x-1/5
Answer:
x=13/15
Step-by-step explanation:
2/3=x-1/5
find LCD=15
10/15=x-3/15
add 3/15 to both sides
13/15=x
When the expression 3(n + 7) is evaluated for a given value of n, the result is 33. What is the value of n.
Answer:
i think n = 4
Step-by-step explanation:
3(n+7) = 33
3n+21 = 33
3n = 12
n = 4
Answer:
n=4
Step-by-step explanation:
3(n+7)=33
3n + 21=33
3n=33-21
3n=12
n=12÷3
n=4
Fred makes $750 a week working 5 days .How much does he make in one day
Answer:
$150
Step-by-step explanation:
750/5 = 150
25 points! :)
Pretty simple question, just not sure how to do it.
ANSWER
-3 -2, 0, .5, 1, 100 for domain
0, 1.8, 10, 19, 77, 100 For Range
Step-by-step explanation:
Domain is all the x values from least to greatest, and range is all the y vlues from least to greatet
There are 20 marbles in a bag. 1/5 are red and others are blue. What is the ratio of red to blue marbles
Answer:
4:16 or 1:4
Step-by-step explanation:
1/5 of 20 = 4
there are 4 red marbles
there are 16 blue marbles
4:16 or 1:4
Answer:
1/5 to 4/5
Step-by-step explanation:
I took this quiz befrore and got a 100