Answer:
Step-by-step explanation:
to solve this system of equations we will add them
x-3y=-12
2x+3y=3 now +3y-3y=0
3x=-12+3
3x=-9
x=-3
plug in the first equation
-3-3y=-12
-3y=-12+3
-3y=-9
y=3
Find the value of x in the isosceles triangle
Step-by-step explanation:
Since all 3 sides of the triangle is equal, it is not only an isosceles, but an equilateral triangle.
x = 8sin60° = 6.928 or sqrt48.
That is a question about triangles.
In my answer I will show 2 ways to solve that question, ok? Let's go.
First way - Pythagoras's theoremThe line segment x divide the biggest triangle in 2 equals right triangles.
Let's choose one of them and note that is a triangule with hypotenuse equals to 8 and one cathetus equals to half of 8.
The Pythagoras's theorem says that:
[tex]\boxed{a^2 = b^2 + c^2}[/tex]
a is the hypotenuse and b and c are cathetus.
So, in our case, we know the hypotenuse and one cathetus, let's substitute that in the expression:
[tex]a^2 = b^2 + c^2\\8^2 = 4^4 + c^2\\64 = 16 + c^2\\c^2 = 64 - 16\\c^2 = 64 -16\\c^2 = 48\\c = \sqrt{48}\\c= 4\sqrt{3}[/tex]
Therefore, the value of x is [tex]4\sqrt{3}[/tex].
Second way - The equilateral triangle heightThat way to solve the question is a consequence of the previous way.
That triangle has all the sides equals, so it is a equilateral triangle.The line segment x is the height of that triangle. And we can find the equilateral triangle height using that expression:
[tex]\boxed{h = \frac{S\cdot \sqrt{3} }{2} }[/tex]
h is the height and S is the triangle's side.
So, we know that the side of our triangle is 8. Let's change S value in the expression:
[tex]h = \frac{S\cdot \sqrt{3} }{2} \\h = \frac{8\cdot \sqrt{3} }{3} \\h = 4\sqrt{3}[/tex]
Thus, the value of x is [tex]4\sqrt{3}[/tex].
Note that in the 2 ways we find the same result, so that answer is correct.
I hope I've helped. :D
Enjoy your studies! \o/
Which one of these is not a step used when constructing an inscribed equilateral triangle using technology? (5 points)
Create a circle using the center with given point tool.
Use the compass tool to create three more circles, with the same radii as the first.
Connect the point with a line through the center of the circle.
Create another circle with the same radius as the original.
Answer:
again i can not see the given point
Step-by-step explanation:
get me the ans Two circles with radii 3.5 cm and 2.5 cm touch each other internally. Find the distance between their centres.
hell
Step-by-step explanation:
yctctcyhuhyfs4fugubucrftvuvjbhgxtxt. h. h
If a triangle has three sides with the lengths 20, 16, and 12, what are the angles?
Answer:
angle a = 53.13°
angle b = 36.87°
angle c = 90°
Step-by-step explanation:
The following is one way to perform the calculation. It may not be the best way.
Calculates ∠A, ∠B, ∠C based on given a, b and c.
∠A = arccos( b2 + c2 - a2 2bc )
= 0.9273 rad = 53.13° = 53.13°
∠B = arccos(a2 + c2 - b2 2ac )
= 0.6435 rad = 36.87° = 36.87°
∠C = arccos(a2 + b2 - c2 2ab )
= 1.5708 rad = π/2 = 90°
Help me!!! PLEASE (I only have 13 points)
Answer:
0.6 ÷ 0.3 - Option 2.
0.2 × 0.9 - Option 3.
3 There are 8 teams in the
recreational soccer league. Each
team is comprised of 9 fourth-
grade students and 5 fifth-grade
students. Which expression could
be used to find the total number of
students in the soccer league?
A. (8 + 9) * 5 =
B. (8 x 9) + 5 =
C. 8 + (9x5) =
D. 8 (9 + 5) =
Answer:
On each team there is the same number of teammates, the answer is D. 8 (9 + 5).
Step-by-step explanation:
If you add up the amount of teammates then multiply that by the number of teams.
Therefore, D. 8 (9 + 5) is the answer.
I HAVE 2 MINS TO FINSIH PLZ HELP
Answer:
The answer is 45
Step-by-step explanation:
Answer:
45
Step-by-step explanation:
5(3)^2
HELP MEEEEEEE PLEASE > Which set of ordered pairs is a function?
((-5,1). (-3, 2). (-1, 3), (0, 4). (3. 5)
{(-6, -4), (-4, -2), (0, o). (-4, 2). (-6,4))
((-2). (-4,2), (0. 3), (4. 1), (-2 5))
{(-1,5), (-, 4), (-1, 3), (-1, 2). (-1, )})
Done ->
Answer:
The first choice
Step-by-step explanation:
The x values do not repeat (resubmitting since a bot deleted my first answer)
Divide. Express each answer as a decimal. 5÷4 4÷5 30÷12 12÷30
Answer:
5÷4 = 1.25
4÷5 = 0.8
30÷12 = 2.5
12÷30= 0.4
Answer:
5÷4 = 1.25
4÷5 = 0.8
30÷12 = 2.5
12÷30= 0.4
Step-by-step explanation:
Tim’s age is nine more than his sister, Jill. Twice his age added to twice Jill’s age is 330.
Answer:
jill age is 78 and tim's age is 87
Step-by-step explanation:
let jill age be x then, tim's age is 9+x
by the question,
2(9+x) + 2x = 330
or,18 + 2x + 2x = 330
or,4x = 330-18
or, x = 312÷4
x = 78
9+x= 9+78=87
3s+2p=85.50 4s+2p=123
Answer:s=10.50 and p=27
Step-by-step explanation:
22 lb/day ≈ ____________ oz/h
Answer:
there are 16 ounces in a pound and 24 hours in a day.
22*16= 352oz/day
352/24 = 14.66666 oz/h
i would round up because it has the about symbol. so your answer is:
15 oz/h
Step-by-step explanation:
i multiplied 22 by 16 to find out how many ounces were in 22 pounds.
i divided 352 by 24 because there's 24 hours in a day and i needed how many ounces for one hour.
Answer:
122 oz a day is the aswer
Over a one week period in the summer, the price of a gallon of gas increased from $2.35 to $2.82. By what percent did the price of gas increase over that week?
What is it
Answer:
$0.47
Step-by-step explanation:
2.82 - 2.35
PLEASE HELP THANKS!!!
Answer:
235
Step-by-step explanation:
area of one square=
180
area of other square=
11 times 5 =55
55+180=235
please mark be as brainliest
Answer:
[tex]a=20cm\\b=14cm[/tex]
[tex]a_{1} =11cm\\a_{2}=a-a_{1} =20cm-11cm=9cm\\[/tex]
[tex]b_{1} =9cm\\b_{2}=b-b_{1}=14cm-9cm=5cm[/tex]
[tex]S=S_{1} +S_{2} =154cm^{2}+81cm^{2}=235cm^{2}\\S_{1}=a_{1} *b=11cm*14cm=154cm^{2} \\S_{2} =a_{2} *b_{1} =9cm*9cm=81cm^{2}[/tex]
[tex]S=235cm^{2}[/tex]
Donny has $40 saved in his savings account and wants to earn more. He begins babysitting for the neighbors and gets paid $15 per hour. He seves all of his earnings 150 136 120 a Create a graph to show his total money saved from when he started through 10 hours of babysitting money saved (dollars) b. What is the slope of the ine? 88888889 c. What does the slope meen in this situation? 5 6 7 8 9 üme babysitting (hours) d. At what point does the Ine cross the vertical () ats? e. What does the vertical intercept mean in this situaton?
Answer:
a.) since he already has 40 in his savings account, start the line at (0,40) on the y-axis and then go up 15 every hour
b.) 15 or 15/1
c.) for each hour Donny spends working, the amount of money he has go up by 15
d.) (0,40)
e.) the vertical intercept or (y-intercept) is (0,40) because this is how much money Donny already has in savings
Fun fact
are Bananas are curved because they grow towards the sun ☀️
2
true or false
Answer:
true
Step-by-step explanation:
As bananas grow, the fruits start to become heavy and begin sinking towards the ground. However, fruits naturally seek the sun which means that as they mature, they start to curve upward in search of the sun’s rays. This is because bananas contain a chemical called auxin, a plant hormone that affects how the plant responds to sunlight.
Answer:
That's True
Step-by-step explanation:
last one! Please help me !!
Answer:
1.) A 2.) B
Step-by-step explanation:
Formula: a^2+b^2=c^2
4^2+3^2=5^2
Proof:
4^2=16
3^2=9
9+16=25
5^2=25
What is the equation of the line?
A) y=34x−1
B)y=34x+1
C)y=43x−1
D)y=43x+1
Answer:
B
Step-by-step explanation:
not so sure but see if this is correct
Which description best Fitz the graph?
PLS HELP ME NEED THIS ASAP
Answer: always decreasing
Step-by-step explanation:
Since it goes down without going back up it is always decreasing
Is 16 bigger than 16 11/16?
what is the answer for 2/3 z = -6
Answer:
z=−9
Step-by-step explanation:
Let's solve your equation step-by-step.
2/3z =−6
Step 1: Multiply both sides by 3/2.
(3/2)*(2/3z)=(3/2)*(−6)
z=−9
plz give brainlyest
from least to greatest 42%,0.43,17/40
HELpp plz
Choose the inequality symbol (>,
<
=
Answer:
uhhh >
Step-by-step explanation:
Answer:
5 __>__ 3.987
Step-by-step explanation:
Can some one really help me!
Answer:
That's not what I'm learning sorry
Step-by-step explanation:
Answer:
82 units
Step-by-step explanation:
There are multiple ways to go about solving this problem (solving by calculating the areas of the individual, smaller shapes), but I recommend solving it by first calculating the area of the entire figure (96 units - 12 * 8 - length * width ((formula for the area of a rectangle)) and then subtracting the area of the missing part from this value.Assume the opposite sides are equal in value (see picture for work) and subtract the given values (4 and 5) from 8 and 12 to get the measurements to find the triangle (the missing part).You get 7 and 4 and now you use the formula for the area of a triangle to get the area. (7*4)/2, which gives you 14 units.Subtract 14 (area of missing value) from 96 (area of total value) to get your final answer, 82 units!A combination lock is to have 4 digits (using the numbers from 1 to 9 (ie No Zero)How many different combinations are there that have all different numbers.
Answer:
3024
Step-by-step explanation:
You have to think of this in choices. You have 9 choices for the first lock (because there are 9 numbers). We would have 9 choices for the second lock, but we used one number for the previous one. So we would have 8 choices. We would continue with 7 choices for the third lock and 6 for the fourth.
Multiplying this we get 9x8x7x6=3024
what is the y-intercept for f(x)=x2-8x+15
Answer:
(0, 15)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationThe y-intercept is the y value when x = 0. Another way to reword that is when the graph crosses the y-axis.Step-by-step explanation:
Step 1: Define
f(x) = x² - 8x + 15
Step 2: Find y-intercept
Substitute x = 0: f(0) = 0² - 8(0) + 15Exponents: f(0) = 0 - 8(0) + 15Multiply: f(0) = 0 + 15Add: f(0) = 15Rewrite: (0, 15)Write an equation in point slope form for the line through the given point with the given slope.
(-7, 9); m: 4/5
A. y+7=4/5(x-9)
B. y-7=4/5(x+9)
C. y-9=4/5(x-7)
D. y+9=4/5(x-7)
❤︎
Answer:
Ans C
m=4/5
X1= -7
Y1 = 9
Y-Y1=m(X-X1)
Y-9=4/5(X-(-7))
Y-9=4/5(X+7)
1.The entry tickets at a community fair cost $5 for children and $10 for adults. On a certain day 1000 people entered in the fair and \$7,100is collected. How many adults and how many children were at the fair?
Answer:
568 ADULTS
284 CHILDREN
Step-by-step explanation:
5C+10A=7100
A=2C
5C +10(2C)=7100
5C+20C=7100
25C=7100
C=284
A=2C
A=568
BRAINLIEST???
Pls help!!! Pls and thank you!! So much
Answer:
I solved it for u!
Hope it helps
Step-by-step explanation:
Another way, it an isosceles triangle so the base will be same, so angle 3 and angle 1 will be same after u find angle 3, then angle 1 will be equal to it
So here angle 3 = 64°
So angle 1= 64°
A professor surveys his students about their opinions on how well he taught the course. He puts this survey on the last page of his final exam. Which type of bias will most likely have the strongest effect on the survey results?
Not all students will have the access needed to find the survey.
Students may not truthfully reply because they fear it will affect their grade.
Students may not understand the wording used in the survey.
Not all students will be represented in the survey sample.
Answer:
B
Step-by-step explanation:
Students may not truthfully reply because they fear it will affect their grade.