Answers
Answer:
[tex]a=10[/tex]
Step-by-step explanation:
This problem can be solved in a ridiculous number of ways. However, it is likely introduced as a special-triangle problem in this question, because 4 pieces of information are given opposed to the necessary 3 to solve the triangle.
Special Right Triangles:
In any 30-60-90 triangle, all sides are in the proportion [tex]x:x\sqrt{3}:2x[/tex], where [tex]2x[/tex] is the hypotenuse and [tex]x[/tex] is the side opposite to the 30 degree angle. Since we notice that the side we're solving for is directly opposite to the 30 degree angle, we know that the side marked [tex]10\sqrt{3}[/tex] must be [tex]x\sqrt{3}[/tex] and therefore we have [tex]a=\boxed{10}[/tex]
Related Questions
What of the following is NOT a formula for circumference?
a) C=2πr
b) C=πr
c) C=πd
Answers
Answer:
The formula for circumfernce is C=pixd D is diameter
Step-by-step explanation:
please help. i don’t know what to dooooooooooo
Answers
Answer:
x = 48 degrees
Step-by-step explanation:
(2x + 2) + (x + 34) = 180
3x + 36 = 180
3x = 180 - 36
3x = 144
x = 144 / 3
x = 48 degrees
I hope this helps :)
Answer:
B. x = 48
Step-by-step explanation:
(x + 34)+(2x + 2) = 180°. Angles on a straight line
x+2x = 180 - (34+2)
3x = 180 - 36
3x ÷3 = 144 ÷3
x = 48°
please help will mark brainlyist and 10 points if right
Answers
Answer:
can u copy the text and send it to help u
If a point on the pre-image has coordinates (3, -4), and the coordinates of its image are (12, -16), what scale factor was used for the dilation?
A.4
B.1
C.4
D.1/4
Answers
Answer:
c 4i think soc 4 yu need to be add
5-ſ
To rationalize the denominator of
9-14 · you should multiply the expression by which fraction?
5+√7
9-14
9- V14
9-√14
9+ 14
9+ V14
14
14
Answers
We should multiply the expression by (9+√14) fraction.
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers.
To rationalize the terms, we multiply both the denominator and denominator by the conjugate of the denominator.
The denominator is 9-√14 and its conjugate is; (9+√14).
(5-√7)/(9-√14) = (5-√7)(9+√14)/(9-√14)(9+√14)
= (5-√7)(9+√14)/(9²-14)
= (45 + 5√14 - 9√7 - √98)/(81-14)
= (45 + 5√14 - 9√7 - √98)/67
= (45 + 5√14 - 9√7 - 7√2)67
This is the rationalized expression.
The denominator is (9-√14) and its conjugate is (9+√14).
Learn more about multiplications;
https://brainly.com/question/14059007
#SPJ7
Help me pls I need this to pass low key stuck
Answers
Answer:
m<F = 44°
length of FH = 15
length of GF = 21
Perimeter of ∆FGH = 50
Step-by-step explanation:
✔️Find m<F using the sum of triangle theorem:
The small box indicates angle 90°. Sum of a triangle is 180°. Therefore,
m<F = 180° - (90° + 46°)
m<F = 180° - 136°
m<F = 44°
✔️Find FH using trigonometric function:
Reference angle = 46°
Length of Opposite side = FH = ?
Length of Adjacent side = GH = 14
Apply TOA because we are concerned with the OPP and ADJ sides:
Tan 46° = Opp/Adj
Tan 46° = FH/14
14*Tan 46° = FH
14.4974243 = FH
FH = 15 (approximated to nearest whole number)
✔️Find GH by applying either a trigonometric function or just simply apply pythagorean theorem:
Pythagorean theorem is given as,
c² = a² + b²
c is the longest side (hypotenuse) = GF = ?
a = GH = 14
b = FH = 15
Thus:
GF² = 14² + 15²
GF² = 421
GF = √421
GF ≈ 21 (nearest while number)
✔️Perimeter of ∆FGH = GH + GF + FH
= 14 + 21 + 15
= 50
Which matrix represents the system of equations shown below?
y = 5
4x = 3
Answers
Answer:
[tex]\left[\begin{array}{ccc}1&0\\0&4\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}x\\y\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}5\\3\end{array}\right][/tex]
Step-by-step explanation:
A matrix is an algorithm that has many applications. It is composed of a series of numbers (typically coefficients of variables) organized in a pattern. When dealing with a matrix, one must always remember the rule (rows by columns). One such application is that a matrix can facilitate the process by which one solves a system of equations.
When given the following system:
y = 5
4x = 3
One can see that not all of the equations have all variables in them. Yet, bear in mind that any number times zero is zero, therefore, one can rewrite the equation such that it has all of the variables if one ensures that the coefficient of the missing variable is (0).
y + 0x = 5
0y + 4x = 3
Now organize this in the form of a matrix, the coefficients of the variable go in a (4 x 4) since there are now (4) elements. The variables are vertically arranged in a (2 x 1), and the equation results are also vertically arranged in a (2 x 1).
[tex]\left[\begin{array}{ccc}1&0\\0&4\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}x\\y\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}5\\3\end{array}\right][/tex]
How. Many 5s is in 200989
Answers
Answer:
40197 these many 5s make up 200985 so 4 are left to make 200989
Step-by-step explanation:
Answer:
40197.8
Step-by-step explanation:
200989 ÷ 5
40197.8
Select all expressions that equal −7−(−12) .
A
7+(−12)
B
−7+(−12)
C
−7+12
D
7+12
Answers
Answer:
C, -7+12
Step-by-step explanation:
-7--12= 5
-7--12 can also be -7+12
Answer:
The answer is c
Step-by-step explanation:
-7-(-12) = 5
An isosceles triangle has an angle that measures 40°. Which other angles could be in that isosceles triangle? Choose all that apply. 70, 100,80,40
Answers
Given:
An isosceles triangle has an angle that measures 40°.
To find:
The other possible angles of the triangle.
Solution:
Case 1: 40° is the measure of base angle of isosceles triangle.
Then, the other base angle is 40°.
Let x be the measure of third angle.
The sum of all interior angles of a triangle is 180 degrees. So,
[tex]x+40^\circ+40^\circ=180^\circ[/tex]
[tex]x=180^\circ-40^\circ-40^\circ[/tex]
[tex]x=100^\circ[/tex]
So, the possible angles are 40° and 100°.
Case 2: 40° is the measure of vertical angle of isosceles triangle.
Let y be the measure of base angles, then
[tex]y+y+40^\circ=180^\circ[/tex]
[tex]2y=180^\circ -40^\circ[/tex]
[tex]y=\dfrac{140^\circ}{2}[/tex]
[tex]y=70^\circ [/tex]
So, the possible angles are 40° and 70°.
Therefore, the correct options are A, B and D.
?????????????????? find the value of x
Answers
Answer:
x = 17
Step-by-step explanation:
We can infer that the angles are equivalent based on the opposite angle theorem and we can set the equations equal to one another:
(8x-22)=(5x+29)
from here, we can subtract 5x from each side leaving us with:
3x-22=29
Now add 22 to both sides:
3x=51
Now divide both sides by 3, leaving us with the value of x:
x=17
Answer each question and round your answer to the nearest whole number
Answers
Answer:
New width = 12 in.
Step-by-step explanation:
Original height = 2 in.
Original width = 3 in.
New height = 8 in.
New width = x = ?
The shape of the original painting and the shape of the new painting are similar, therefore, the ratio of their corresponding linear measurement will be equal.
Thus:
New height/original height = new width/original width
8/2 = x/3
Cross multiply
2x = 3*8
2x = 24
2x/2 = 24/2
x = 12
New width = 12 in.
A bag contains 6 green marbles and 4 red marbles. Two marbles are drawn at random as follows; one marble is drawn and not replaced. then the second marble is drawn. What is the probability that the first marble is red and the second one is green
Answers
Answer:
4/15
Step-by-step explanation:
4/10*6/9
2/5*2/3
4/15
Given m||n, find the value of x.
+
>m
(5x+19)
(6x+1)°
Answers
x=18
If you added 2 circles to the left side, how many squares would you have to add to the right side to keep it balanced?
Answers
Answer: 2 circle to the right
Step-by-step explanation:
You would need to add 2 circles to keep it balanced.
PLEASE HELP!!
Describe the relationship between expanding and factoring.
Answers
Answer:
To factor means to express as a product. To expand means to multiply something out.
Step-by-step explanation:
please answer my question for me pleaseeee
You invest $8,000 in an account that earns 4% compounded monthly. How much money are you going to have in 5 years?
Answers
start by using the formula ... A=p(1+r)^t
the principle is 8000... the rate would be converted into a decimal which is 0.04... and the time is 5 years
input the amounts in ... A=8000(1+0.04)^5
then your answer will be 9733.22$
good luck ! <3
Find the equation of the line passing through the point (-6,4) that is perpendicular to the line 5x+3y=5
Answers
9514 1404 393
Answer:
3x -5y = -38
Step-by-step explanation:
The equation of the perpendicular line can be formed by swapping the coefficients of x and y in the given equation, negating one of them. The new constant will be the one that lets the given point satisfy the equation.
given: 5x +3y = 5
perpendicular: 3x -5y = constant
At the given point, the constant is ...
3(-6) -5(4) = -18 -20 = -38
So, the desired equation is ...
3x -5y = -38
Solve the inequality 2m+10 < 40
Answers
Answer:
m < 15
Step-by-step explanation:
2m+10 < 40
Subtract 10 from each side
2m+10-10 < 40-10
2m < 30
Divide by 2
2m/2 = < 30/2
m < 15
SOMEONE PLEASE HELP ME! I promise i will mark brainlest, but i need the right answer for this. help is much appreciated <3
Answers
Answer:
I say A or B but in favor A
Step-by-step explanation:
What is the area of a triangle with a base of 9 feet and a height of 10 feet?
38 ft 2
90 ft 2
19 ft 2
45 ft 2
Answers
Answer:
45 [tex]ft^2[/tex]
Step-by-step explanation:
Multiply 9 · 10 = 90 then divided by 2 = 45
Answer:
45
Step-by-step explanation:
Did the test
What is the radius of polygon JKLMN ?
Answers
Answer:
Radius of the circle is 5 units.
Step-by-step explanation:
JKLMN is a regular polygon inscribed in a circle.
Since, its a regular polygon,
JN = NM = 5.88 units
"Perpendicular drawn from the center of the circle to any chord is the bisector of the chord"
Therefore, PQ will be the perpendicular bisector of chord NM.
QM = [tex]\frac{1}{2}(NM)[/tex]
QM = [tex]\frac{1}{2}(5.88)[/tex]
QM = 2.94 units
By applying Pythagoras theorem in ΔPQM,
PM² = PQ² + QM²
PM² = (4.05)² + (2.94)²
PM = [tex]\sqrt{16.4025+8.6436}[/tex]
PM = [tex]\sqrt{25.0461}[/tex]
PM = 5 units
Therefore, radius of the circle is 5 units.
helppppppppppp no links or you'll get reported
Answers
Answer:
1.95
Step-by-step explanation:
area = (1/2 ×1 ×1 )×3 = 1.5 ( for sides)
area = ( 1/2 ×1 ×0.9) = 0.45 for base
area =1.5+0.45 = 1.95
Question 38
Two cuboids are congruent. Which statement about their properties
a.Each face has the same area
b.One is larger than the other
c.They have the same volume
d.The sum of the angles is 360°
Answers
PLEASE ANSWER QUICKLY
Answers
A team from the high school went on a science-and-math quiz show. The science questions were worth 10 points and the math questions were worth 3 points. The team answered a total of 10 questions and earned 65 points. How many questions did the team answer in each category?
Answers
Answer:
The answered 5 math questions, and 5 science questions.
5 * 3 = 15
5 * 10 = 50
15 + 50 = 65
Step-by-step explanation:
helppppppp meeeeeeee please
Answers
Answer:
33
Step-by-step explanation:
(3×3 )+(1/2 ×3×4) ×4 = 33
Sam, Raj and Jade have 12 sweets each. One quarter of Sam's sweets are blue. How many blue sweets does he have?
Answers
Step-by-step explanation:
Sam, Raj and Jade have 12 sweets each
(one person has 12 sweets)
Sam has 12 sweets
one quarter of Sam sweet is blue
1/4 = one quarter
1/4 * 12 = 3
Sam has 3 blue sweets.
Answer:
sam has 3 blue sweets
Step-by-step explanation:
[tex]\frac{1}{4} of 12 = 3[/tex]
if sam has 12 sweets and one quarter are blue then we need to work out one quarter of the twelve sweets. you need to do [tex]\frac{1}{4} of 12[/tex] which is 3 and [tex]\frac{1}{4} of 12[/tex] is the same as [tex]\frac{1}{4} times 12[/tex]
Now, you do the math: Tell us if you can afford the apartment using the details below.
Your gross paycheck is $2100 per month.
You're looking at a very small one-bedroom apartment that rents for only $650 per month.
The electric bill runs about $60 per month for power.
You'll pay about $10 per month for gas.
An Internet line will cost you $20 per month.
You have to rent a parking space for your old buggy at $20 per month.
Can you afford to get this apartment?
Yes.
No.
If no, how much can you afford to pay in rent plus housing expenses?
Answers
Answer:
I think yes because u will have 760 leftover
Find each missing measure.
Answers
Answer:
m<A = 84
AC = 9
Step-by-step explanation:
We can find the measure of Angle A by using the sum of interior angles of a triangle theorem.
48+48+A=180
96+A=180
A=84
We can then use the isosceles triangle similarity theorem and reason that since this is an isosceles triangle and one of the side lengths (AB) is 9, the other (AC) would also be 9.