Answer:
h= x/ x+4
Step-by-step explanation:
Move all terms to the left side and set equal to zero, Then set each factor equal to zero.
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
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
Find each missing measure.
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.
PLEASE HELP!!
Describe the relationship between expanding and factoring.
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?
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
Answer:
c 4i think soc 4 yu need to be add
How. Many 5s is in 200989
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
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°
Select all expressions that equal −7−(−12) .
A
7+(−12)
B
−7+(−12)
C
−7+12
D
7+12
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
What is the radius of polygon JKLMN ?
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.
Work out the size of the angle marked X.
Give your answer correct to 1 decimal place.
Answer:5
Step-by-step explanation:
Answer:
Step-by-step explanation:
take x degree as reference angle
using sin rule
sin x=opposite/hypotenuse
sin x=10/15
sin x=0.66
x=sin 42
therefore x=42 degree
Which matrix represents the system of equations shown below?
y = 5
4x = 3
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]
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?
Answer: 2 circle to the right
Step-by-step explanation:
You would need to add 2 circles to keep it balanced.
What of the following is NOT a formula for circumference?
a) C=2πr
b) C=πr
c) C=πd
Answer:
The formula for circumfernce is C=pixd D is diameter
Step-by-step explanation:
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?
Answer:
The answered 5 math questions, and 5 science questions.
5 * 3 = 15
5 * 10 = 50
15 + 50 = 65
Step-by-step explanation:
AHH ILALAGAY KO PO YUNG TANONG YUNG IBA PO NA KAILANG NG PICT NASA PIC SA TAAS masagot po sna plsssssssssssssssssssssssssss
A.draw the following lines in the boxes
1.line AB and line CD-parallel lines
2.line FH and line XY - intersecting line
3.line MN and line QP-perpendicular line
performance 2
A.classify the triangles by their sides and angle
Step-by-step explanation:
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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
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;
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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
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.
Help me pls I need this to pass low key stuck
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
Mel received notice that his monthly health care rate will increase 20% next year. If Mel currently pays $150 per month for health care, by what amount will his rate increase next year?
Find the equation of the line passing through the point (-6,4) that is perpendicular to the line 5x+3y=5
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
?????????????????? find the value of x
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
SOMEONE PLEASE HELP ME! I promise i will mark brainlest, but i need the right answer for this. help is much appreciated <3
Answer:
I say A or B but in favor A
Step-by-step explanation:
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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
please help. i don’t know what to dooooooooooo
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°
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
Answer:
4/15
Step-by-step explanation:
4/10*6/9
2/5*2/3
4/15
PLEASE ANSWER QUICKLY
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Answer:
can u copy the text and send it to help u
Given m||n, find the value of x.
+
>m
(5x+19)
(6x+1)°
Answer each question and round your answer to the nearest whole number
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.
Solve the inequality 2m+10 < 40
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