Answer:6
Step-by-step explanation:
sorry if im wrong
Find the measure of the indicated angle.
Answer:
the answer is 96°
Step-by-step explanation:
it is an isosceles triangle as it's 2 sides are equal.
for an isosceles triangle, the angles made by the equal sides with the third side are equal.
and the sum of all angles in a triangle = 180°
42 + 42 + x = 180
x = 180 - 84
X = 96°
Rewrite the following polynomial in standard form.
9x + 1 - x^2
Answer:
x²-9x-1
Step-by-step explanation:
move the -x² in front and get -x²+9x+1
then multiply the whole equation by -1 and get x²-9x-1
I THINK OKAY PLEASE DONE BE MAD
Two ships P and Q left port at the same time. Q sailed at a bearing of 150 degrees while P sailed on the north side of Q. After a distance of 8km and 10km by P and Q respectively, their distance apart is 12km. Find the bearing of P from R
Answer:
247.18
Step-by-step explanation:
please watch the diagram carefully to see marked areas
According to given situation cosine law in trigonometry identities used
[tex]c^{2}=b^{2} +a^{2} -2abcosx[/tex] to find the bearing angle of P from R is 67 degree.
What is trigonometry identities.If the identities or equations are applicable for all the triangles and not just for right triangles, then they are the triangle identities. These identities will include:
Sine law
Cosine law
Tangent law
According to question,
The angle between RP & RQ.
Using the cosine law
[tex]PQ^{2} = RP^{2} + QR^{2} - 2PR*RQ*cosx\\12^{2}=8^2+10^2-2*8*10cosx\\cosx = \frac{164-144}{160} \\cosx = \frac{20}{160} \\cosx =\frac{1}{8}[/tex]
[tex]x=83[/tex] degree
[tex]150-83=67[/tex]
Hence, the bearing of P from R is 67 degree
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The volume of the sphere is
500
-n cubic units.
3
What is the value of x?
O4 units
O 5 units
O 8 units
O 10 units
Answer:5 units!
Step-by-step explanation:
.
The value of x will be 5 units for the sphere that has the volume of (500/3)π cubic units.
From the formula of the volume of sphere,
volume of sphere = 4/3 πr³
where, r is the radius
in our case,
volume = (500/3)π
radius = x
substituting the given values
(500/3)π = (4/3)π *x³
x³ = 125
x= 5 units
Therefore, the value of x will be 5 units.
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Complete question:
The volume of the sphere is 500/3 π cubic units.
What is the value of x?
4 units
5 units
8 units
10 units
Arby's age is 6 years less than 7 times Anna's age. If Anna's age is x years, which expression best shows Arby's age?
A = x
B = 7x - 6
C = x - 1
D = 6x - 7
B = 7x - 6 is the correct answer.
Marcel and Floyd are playing games at an arcade. Marcel has $8.25 and is only playing $0.25 games. Floyd has $9.75 and is only playing $0.75 games. Jorge wants to find the number of games after which Marcel and Floyd will have the same amount of money remaining. Jorge’s work is shown below.
Answer:
3 games
Step-by-step explanation:
g(x)=x ^2 and f(x)=x-7 so what is g(f(4)
Answer:
I think the answer is 9
=====================================================
Work Shown:
f(x) = x-7
f(4) = 4-7
f(4) = -3
We can see that f(4) and -3 are the same number. Because of this, we can replace f(4) with -3
This will have us go from g( f(4) ) to g( -3 )
Then we plug x = -3 into the g(x) function
g(x) = x^2
g(-3) = (-3)^2
g(-3) = 9 is the final answer
Again, since -3 and f(4) are the same thing, we can replace that '-3' in g(-3) to get
g( -3 ) = 9
g( f(4) ) = 9
-------------------
An alternative route:
g(x) = x^2
g( f(x) ) = ( f(x) )^2 .... replace every x with f(x)
g( f(x) ) = ( x-7 )^2 .... plug in f(x) = x-7 for the right hand side only
g( f(4) ) = ( 4-7 )^2 ... plug in x = 4
g( f(4) ) = (-3)^2
g( f(4) ) = 9
A certain area can support 124 deer. Initially, there were 2 deer in the area, and the number has been growing at an average rate of 10% per month. Approximately how long will it take for the deer to have a population of 76, assuming logistic growth
Answer:
≈ 38.16 monthsStep-by-step explanation:
Initial number of deer = 2Growth rate is 1.1 times as 100% + 10% = 110% = 1.1Target number is 76.The equation of the growth is:
d(n) = 2*1.1^nSince the target number is 76 we get:
2*1.1^n = 761.1^n = 38log 1.1^n = log 38n = log 38/log 1.1n ≈ 38.16Answer: 46 months
Step-by-step explanation:
Find a solution to the following system of equations –5x + 2y = 9 3x + 5y = 7
Answer: (-1, 2)
Step-by-step explanation:
Let's start by solving for x in
[tex]-5x+2y=9\\-5x+2y+-2y=9+-2y\\-5x=9+-2y\\\frac{-5x}{-5} =\frac{9+-2y}{-5} \\x=\frac{2}{5} y+\frac{-9}{5}[/tex]
We can now sub this value of x in 3x+5y=7 and solve
[tex]3x+5y=7\\3(\frac{2}{5} y+\frac{-9}{5})+5y=7\\(3)(\frac{2}{5} y)+(3)(\frac{-9}{5})+5y=7\\\frac{6}{5} y+\frac{-27}{5}+5y=7\\\frac{6}{5} y+\frac{25}{5}y +\frac{-27}{5}=7\\\frac{31}{5} y+\frac{-27}{5}=7\\\frac{31}{5} y+\frac{-27}{5}+\frac{27}{5}=7+\frac{27}{5}\\\frac{31}{5} y=\frac{62}{5} \\\frac{\frac{31}{5} y}{\frac{31}{5}} =\frac{\frac{62}{5} }{\frac{31}{5}} \\y=2[/tex]
Now we can sub in 2 for y in one of the equations
[tex]3x+5(2)=7\\3x+10=7\\3x+10-10=7-10\\3x=-3\\\frac{3x}{3} =\frac{-3}{3} \\x=-1[/tex]
x=-1 and y=2 giving us the point (-1, 2)
Find the product. (Do not use spaces in your answer.)
d j · d k
Answer:
[tex]\displaystyle d^{j + k}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Exponential Rule [Multiplying]: [tex]\displaystyle b^m \cdot b^n = b^{m + n}[/tex]Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle d^j \cdot d^k[/tex]
Step 2: Find
Multiply [Exponential Rule - Multiplying]: [tex]\displaystyle d^j \cdot d^k = d^{j + k}[/tex]Answer:
[tex]\huge\boxed{d^j\cdot d^k=d^{j+k}}[/tex]
Step-by-step explanation:
Use the theorem:
[tex]a^n\cdot a^m=a^{n+m}[/tex]
Why? Look at this example:
[tex]2^3\cdot2^4=\underbrace{2\cdot2\cdot2}_{3}\cdot\underbrace{2\cdot2\cdot2\cdot2}_4=\underbrace{2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2}_{7}=2^7[/tex]
Therefore
[tex]d^j\cdot d^k=d^{j+k}[/tex]
Kala’s family is shopping for a large screen TV. The TV they decided on has a retail price of $1,000 at four stores. The state sales tax is 5%. Each store is offering a different sales promotion, as listed in the table.
Store
Promotional Offer
A
$80 rebate
B
10% discount on price
C
Store pays all sales tax
D
$40 rebate with store paying half of sales tax
Which store has the best deal?
store A
store B
store C
store D
Answer:
B-10% discount on price
Step-by-step explanation:
A - $1050 - 80 = $970
B - $900 + $45 = $945
C - $1000
D - $1025 - $985
Answer:
store b
Step-by-step explanation:
Find the length of side xx in simplest radical form with a rational denominator.
Answer:
[tex]\frac{5\sqrt{2} }{2}[/tex]
Step-by-step explanation:
Divide 5 by [tex]\sqrt{2}[/tex] , then rationalize denominator
Answer:
Solution given:
Since the given triangle is isosceles and right angled triangle
perpendicular [p]=base[b]=x
hypotenuse [h]=5
we have
by using Pythagoras law
p²+b²=h²
x²+x²=5²
2x²=25
x²=25/2
x²=18
x=[tex]\sqrt{\frac{25}{2}}[/tex]
x=[tex]\bold{\frac{5\sqrt{2}}{2}}[/tex]
Reduce any fractions to lowest terms.Don’t round your answer, and don’t use mixed fractions
12t-2<-5t+36
Answer:
t < [tex]\frac{38}{17}[/tex]
Step-by-step explanation:
Add '5t' to both sides
12t - 2 +5t < -5t +36 +5t
17t -2 < 36
Add ' 2' to both sides
17t -2 +2 < 36 + 2
17t < 38
Dividing '17' on both sides
[tex]\frac{17t}{17}[/tex] < [tex]\frac{38}{17}[/tex]
Step-by-step explanation:
let's hop to it mattie.
12t–2< –5t+36===> 12t+5t< 36+2====>
17t< 38====> t < 38÷17
I need help ASAP !!!!
Which of the following CANNOT be assumed from this image?
Answer:
that he lines are not going strait
Step-by-step explanation:
Two square based pyramids are joined, total volume is 2700mm, perpendicular height 16mm on top pyramid and 20mm on the other, joint base has length and width of x, find x. Please help me..
Answer:
15 mm
Step-by-step explanation:
Since both pyramids are joined together, this means that the base of the pyramid which is a square have the same dimensions.
Let the length and width of the base be x, hence the dimension of the base is x mm by x mm.
For the first pyramid, the volume is:
V₁ = a²h₁/3; where a is the length of the square base, h₁ is the height.
Since the pyramid has a height of 16 mm, hence:
V₁ = 16x²/3
the second pyramid, the volume is:
V₂ = a²h₂/3; where a is the length of the square base, h₂ is the height.
Since the pyramid has a height of 20 mm, hence:
V₂ = 20x²/3
Since the total volume (V) of the pyramid is 2700 mm³, hence:
V = V₁ + V₂
V = 16x²/3 + 20x²/3
2700 = 16x²/3 + 20x²/3
2700 = 36x²/3
36x² = 8100
x² = 225
x = 15 mm
15 POINTS AND BRANLIEST!!!
y = ?x + ?
Answer:
y = -x - 6
Step-by-step explanation:
Parallel lines have same slope
y = -x + 9 {y = mx + c}
m = -1
(x₁, y₁) = (7 , -13)
Equation: y - y₁ = m(x -x₁)
y - [-13] = -1(x -7)
y+ 13 = -x + 7
y = - x + 7 - 13
y = -x - 6
Solve for x. Round to the nearest tenth, if necessary. Calculating Sin or Cos or Tan
Answer:
x = 3.6
Step-by-step explanation:
[tex]Cos \theta = \frac{adjacent}{hypotenuse} \\\\ \ where \ \theta = 69^\circ , \ adjacent = TS = x ,\ Hypotenuse = SU = 10[/tex]
[tex]cos \ 69 = \frac{x}{10}\\\\x = 10 \times cos \ 69\\\\x = 10 \times 0.3584\\\\x= 3.584 \\\\x = 3.6[/tex]
In circle B with m \angle ABC= 74m∠ABC=74 and AB=12AB=12 units find area of sector ABC. Round to the nearest hundredth.
Answer:
92.99
Step-by-step explanation:
The value of area of sector ABC is,
Area = 93.05 square units.
What is mean by Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Given that;
In circle B;
⇒ m ∠ABC = 74° and AB = 12 units
Hence, We can formulate;
The value of area of sector ABC is,
Area = (angle / 360) π r²
Area = (74/360) × 3.14 × 12²
Area = 93.05 square units.
Thus, The value of area of sector ABC is,
Area = 93.05 square units.
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due in an hour! hour
Answer:
Step-by-step explanation:
Hope this helps u !!
Answer:
( 1 , 2 )
Step-by-step explanation:
x + 4y = 9
x = 9 - 4y .... ( 1)
2x - 4y = -6 ...( 2)
substitute the 9 - 4y as x in the second equation
2( 9 - 4y ) - 4y = -6
distribute 2
18 - 8y - 4y = -6
combine like terms
18 - 12y = -6
Subtract 18 from both sides
18 - 18 - 12y = -6 - 18
- 12y = - 24
divide both sides by -12
-12y / -12 = -24/-12
y = 2
Now , substitute the 2 as y in the second equation
2x - 4y = -6
2x - 4 ( 2 ) = -6
2x - 8 = -6
add 8 to both sides
2x - 8 + 8 = -6 + 8
2x = 2
divide both sides by 2
2x / 2 = 2/2
x = 1.
Find the area enclosed by the figure.
Answer:
894
Step-by-step explanation:
this can be "split" into 3 rectangles.
their areas can be easily calculated. and then we simply sum them all up for the answer.
rectangle 1 on the top
R1 = 5×9 = 45
rectangle 2 in the middle
R2 = (19+5)×(35-9-15) = 24×11 = 264
rectangle 3 at the bottom
R3 = 39×15 = 585
and all together
45+264+585 = 894
Which of the following is the parent function of all absolute value functions?
f(x) = 3x
f(x) = |x|
f(x) = 2|x|
f(x)=x²
Which number line model represents the expression -2+(-7)
Answer:
B
Step-by-step explanation:
Start at zero.
Go 2 units left to -2.
Then go another 7 units left to add -7.
Answer: B
Roger has 50 ounces of water. If he drinks 30% of it, how
much water will he have left?
Answer:
35 ounces
Step-by-step explanation:
If Roger drinks 30% of the water, that means there will be 70% of it left. We can turn percentages into decimals by dividing them by 100. If we multiply 50 by 0.7, we get 35 ounces.
50 pts pls help
What is the range of the function shown on the graph above?
Answer:
[0, 7]Step-by-step explanation:
The range is the set of y-values.
The graphed function has its range between 0 and 7, both inclusive.
So the range is:
y ∈ [0, 7]Determine the solution on the following equation
Answer:
x = 3
Step-by-step explanation:
Step-by-step explanation:
3(8x-8)/2=64
3(8x-8)=64×2
24x-24=128
24x=128+24
24x=152
24x/24=152/24
x=6.3
what is 50000000000000000000000000000 cubed
Answer:
50000000000000000000000000000*50000000000000000000000000000*50000000000000000000000000000=1.25e+86
Hope This Helps!!!
Which equation is equivalent to (x^2-5)^2-3x^2+15=-2 in terms of m?
Answer:
x = 67/x^4
Step-by-step explanation:
I did step by step on the whiteboard. I hope it helps!
PLEASE HELP ASAP
In the diagram below, ΔABC ≅ ΔSTR. Complete the statement BC ≅
A. AC
B. TR
C. ST
D. SR
Answer:
a
Step-by-step explanation:
The complete statement is BC ≅ TR.
What is triangle theorem?In mathematics, the Pythagorean theorem, or Pythagoras' theorem, exists a fundamental relation in Euclidean geometry among the three sides of a right triangle. It expresses that the area of the square whose side exists the hypotenuse stands equivalent to the sum of the areas of the squares on the other two sides.
Using the similarity of triangle theorem BC ≅ TR
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a. 8
b. 4
c. 16
d. 12
b. 4
....................
3x =24
or, x= 24/3
or, x =8