Step-by-step explanation:
70
*4
___
280.......ans
A 5 m high flagpole casts a shadow 4 m in length. What is the height of a tree that casts a shadow of 20 m at the same time?
Answer: 16m
Step-by-step explanation:
If we're assuming the ratio of height to shadow lenght is the same then
5:4
also equals
20:16
so the tree is 16 m tall
What is the perimeter, rounded to the nearest tenth?
The area of the regular hexagon is 169.74 ft2.
A regular hexagon has an apothem with length 7 feet and an area of 169.74 feet squared.
What is the perimeter, rounded to the nearest tenth?
24.2 ft
28.3 ft
48.5 ft
56.8 ft
Answer:
48.5 ft
Step-by-step explanation:
Which expression is equivalent to 15+3x
A) 3(5+x)
B) 5(3+x)
C) 3(5+3x)
D) 5(3+3x)
Answer:
3(5+x)
Step-by-step explanation:
15+3x
5*3 + 3*x
Factor out 3
3(5+x)
The equation y=2(x-1)^2-5y=2(x−1)
2
−5y, equals, 2, left parenthesis, x, minus, 1, right parenthesis, squared, minus, 5 is graphed in the xyxyx, y-plane. Which of the following statements about the graph is true?
Answer:
(b) It is symmetrical about [tex]x = 1[/tex]
Step-by-step explanation:
Given
[tex]y = 2(x - 1)^2 - 5[/tex]
See attachment for options
Required
True statement about the graph
First, we check the line of symmetric
[tex]y = 2(x - 1)^2 - 5[/tex]
Expand
[tex]y = 2(x^2 - 2x + 1) - 5[/tex]
Open bracket
[tex]y = 2x^2 - 4x + 2 - 5[/tex]
[tex]y = 2x^2 - 4x -3[/tex]
A quadratic equation [tex]y = ax^2 + bx + c[/tex] has the following line of symmetry
[tex]x = -\frac{b}{2a}[/tex]
By comparison, the equation becomes:
[tex]x = -\frac{-4}{2*2}[/tex]
[tex]x = \frac{4}{4}[/tex]
[tex]x = 1[/tex]
Hence, the line of symmetry is at: [tex]x = 1[/tex]
(b) is true.
Answer: It is symmetrical about x=1
Step-by-step explanation:
The average of four different positive integers is 9. What is the greatest value for one of the integers?
Answer:
30Step-by-step explanation:
Sum of those 4 integers is:
4*9 = 36If the smallest ones are 1, 2 and 3, then the greatest possible integer is:
36 - (1 + 2 + 3) = 30solve for x algebra help
Answer:
x=24
Step-by-step explanation:
Hi there!
We are given the following proportion:
[tex]\frac{2}{10}=\frac{3}{x-9}[/tex]
And we want to solve for x.
First, let's reduce [tex]\frac{2}{10}[/tex], as reducing fractions typically makes the process easier
[tex]\frac{2}{10}[/tex] is the same as [tex]\frac{1}{5}[/tex]
So:
[tex]\frac{1}{5}=\frac{3}{x-9}[/tex]
We can't do anything to [tex]\frac{3}{x-9}[/tex], but that's okay.
Now we can cross multiply, as this is a proportion
Multiply x-9 by 1 and 3 by 5
1(x-9)=3(5)
Multiply
x-9=15
Now this is an equation
Our goal is to isolate x on one side
So let's add 9 to both sides to remove it from the left side
x-9=15
+9 +9
_________
x=24
Hope this helps!
Answer:
24
Step-by-step explanation:
Cross multiply:
2(x - 9) = 2x - 18
3(10) = 30
2x-18 = 30
+18 +18
-----------------
2x = 48
----- -----
2 2
x = 24
Hope this helped.
I NEED HELP !!!
Find the measure of SR.
A.10
B.8
C.7
D.11
The measure of SR is 10.
The given figure has two secant segments and two external segments.
QU = secant segment
QS = secant segment
QP = external segment of QU
QR = external segment of QS
We need to find the measure of SR.
What is the theorem when two secant segments share the same endpoint outside a circle?It states that the product of the length of one secant segment and the length of its external segment equals the product of the length of the other secant segment and the length of its external segment.
Applying the secant theorem in the given figure.
QU x QP = QS x QR
( 9 + 7 ) x 9 = (8 + 3X-5) x 8
16 x 9 = (3 + 3X) x 8
144 = 24 + 24X
144 - 24 = 24X
120 = 24X
X = 120 / 24
X = 5
Now Putting X = 5 in SR = 3X-5
We get,
SR = 3 x 5 - 5
SR = 15 - 5
SR = 10
After applying the secant segment theorem we got the measure of SR as 10.
Learn more about secant segments in a circle here:
https://brainly.com/question/18760361
#SPJ5
Can someone help me with this
Answer:
Step-by-step explanation:
The standard form for a circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex] and what's important here is that the x- and the y- remain that way in the equation. Filling in our values,
[tex](x-(6))^2+(y-(-3))^2=25[/tex] which tells us that our center is
6 and -3 -------------------> (6, -3)
The radius is the square root of 25 which is 5.
The option which is not a solution of the equation 2x + 3y = 6 is:
(A) (0, 2)
(B) (1, 1)
(C) (-3, 4)
(D) (3, 0).
Answer:
Step-by-step explanation:
B OR TRUE
if set a is 12345 and Set B is 23 find a union B and find a intersection b
Answer:
a union b= {1,2,3,4,5}
a intersection b ={2,3}
Step-by-step explanation:
The union of two sets A and B is a set that contains all the elements of A and B and is denoted by A U B
the set composed of all elements that belong to both A and B is A intersection B (A ∩ B)
Two tangents drawn to a circle from a point outside it, are equal in length.prove it.
Find the point on y axis which is equidistant from the point (5,-2) and (-3,2)
Answer:
(0, -2)
Step-by-step explanation:
a point on the y-axis. that means x=0.
so, the distance of (5, -2) to (0, y) is the same as the distance from (-3, 2) to (0, y).
the distance between (5, -2) and (0, y) is based on Pythagoras (the differences in x and y directions are the sides of a right-angled triangle, and the distance is its Hypotenuse, its baseline) :
distance² = (5-0)² + (-2 - y)² = 25 + 4 + 4y + y² = 29+4y+y²
but it is also
distance² = (-3-0)² + (2 - y)² = 9 + 4 - 4y + y² = 13 - 4y + y²
so, we get
29 + 4y + y² = 13 - 4y + y²
29 + 4y = 13 - 4y
16 = -8y
y = -16/8 = -2
their, the point on the y-axis being equidistant to both points is (0, -2)
There is a sequence of rigid transformations that takes A to A', B to B', and C to "
same sequence takes D to D'. Draw and label D':
Answer:
I think it's D
Step-by-step explanation:
Answer: I think its D
Step-by-step explanation:
Rigid transformation moves a shape without changing the size of the shape.
See attachment for the diagram that shows the position of D'
hello could you please help me with this math problem with full explanation which I am unable to solve? Thanks.
Answer:
8 / sqrt(3)
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp / adj
tan A = BC / AC
tan 30 = BC / 8
8 tan 30 = BC
8 * sqrt(3)/3 = BC
8/3 sqrt(3) = BC
Solve the following.
2x^2-7x-4/6x^2+7x+2<0
Can someone explain how to solve this.
Answer:
Which one have same variable gather or decrease up
Step-by-step explanation:
2x^2-4.6x^2=1.4x^2
-7x+7x=0
1.4x^2+2<0
x<0
Andre ran 512 laps of a track in 8 minutes at a constant speed. It took Andre x minutes to run each lap. Select all the equations that represent this situation.
Answer:
(512)x=8 and 512−x=8
Step-by-step explanation:
Which decimal is equivalent to 48 over 100
a. 0.048
b. 0.48
c. 4.08
d. 4.8
Answer:
0.48
Step-by-step explanation:
hope it can work for you mark me as a brain liest
Find the volume of each figure. Round your answers to the nearest tenth, if necessary
Answer:
600
Step-by-step explanation:
Volume=l*b*h=5*12*10=600
Which set of whole numbers but not natural numbers
Answer:
C
Step-by-step explanation:
C is the set with whole numbers as it contains 0 and natural numbers
A trapezoid has two basses that measure 11 cm and 8 cm. The height of the figure is 5 cm. What is the area of the trapezoid? A) 95 cm2. B) 64 cm2. C) 47.5 cm2. D) 24 cm2
Answer:
C.47,5cm²
Step-by-step explanation:
Simplify the expression. What classification describes the resulting polynomial?
(8x+3x) - (12x2 - 1)
O A quadratic binomial
O B. quadratic trinomial
ОС.
linear monomial
OD.
linear binomial
Answer:
The correct choice is option B. quadratic trinomial
Step-by-step explanation:
The answer is in quadratic trinomial because a quadratic trinomial is an expression in the form of ax^2 + bx + c and this is exactly how our final solution looks like.
If the function f is given by f(x)= 4x -3, find the value of f(2+h)
[tex]\\ \sf\longmapsto f(2+h)[/tex]
[tex]\\ \sf\longmapsto 4(2+h)-3[/tex]
[tex]\\ \sf\longmapsto 4h+8-3[/tex]
[tex]\\ \sf\longmapsto 4h+5[/tex]
Divide : 12a²b³ 6a²b by 3ab
Answer:
easy
Step-by-step explanation:
4ab³6a²b
Answer:
[tex] \frac{12 {a}^{2} {b}^{3} 6 {a}^{2}b }{3ab} \\ thank \: you[/tex]
Which graph represents the solution set to the following system of linear
inequalities?
ys2x+7
y>-3x-2
PLSS HELP!
Answer:
Step-by-step explanation:
I am not sure what your first inequality is saying y≤2x +7 or y≥2x+7
-the equation y> -3x-2 , has a negative slope m= -3 (the line is going down from left to right if is a negative slope) and it has to be a dotted line( <, or > is a dotted line, ≤, or ≥ is a solid line) so the answer must be either A or D
-if the second equation is y≤2x +7 then the answer is D because y has to be less than 2x+7 the area under the line will be include in the solution
--if the second equation is y≤2x +7 then the answer is A because y has to be greater than 2x+7 the area above the line will be include in the solution
Answer:
1 4/5
Step-by-step explanation:
2x+7>-3x-2
2x+3x>-2-7
5x/5>-9/5
=1 4/5
Thanks Hope It Help
Is {3,…} a defined set
Answer:
no it's not a defined state it's undefined
Help anyone can help me do this question,I will mark brainlest.
Answer:
18. 28 cm*2
19. 24 m
Step-by-step explanation:
18. length × l = 16
l*2= 16
l = 4
RQ = 4 cm
PR =7cm
Area of parallelogram = b×h
= 7×4
=28cm*2
19. 8 +8 + (6-2) +( 6- 2)
=24 m
A car travels 25 m/s for 30 seconds. What distance did the car travel ?
Answer:
750 meters
Step-by-step explanation:
Answer:
750m
Step-by-step explanation:
Distance= Speed x Time
Speed = 25m/s
Time = 30s
Distance = 25 x 30
= 750 m
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Given that :
Diameter (d) = 18 cm
Pi (π) = 3.14
Radius (r) = d/2 = 18/2 = 9 cm
We know that volume of sphere is
Volume of Sphere = 4/3πr³
Volume = 4/3 × 3.14 × (9)³
Volume = 4/3 × 3.14 × 729
Volume = 4 × 3.14 × 243
Volume = 12.56 × 243
Volume = 3052.08
Hence, the volume is 3052.08 cm³
For the function f(x)=x+9/7-4x find f^-1(x)
Answer:
Step-by-step explanation:
[tex]f(x)=\frac{x+9}{7-4x} \\put ~f(x)=y\\flip~x~and~y\\f(y)=x\\y=f^{-1}(x)\\y=\frac{x+9}{7-4x} \\flip~x~and~y\\x=\frac{y+9}{7-4y} \\x(7-4y)=y+9\\7x-4xy=y+9\\-4xy-y=9-7x\\or\\4xy+y=7x-9\\y(4x+1)=7x-9\\y=\frac{7x-9}{4x+1} \\or~f^{-1}(x)=\frac{7x-9}{4x+1}[/tex]
A pair of shoes is on sale for 30% off. The original price is p. Which expression can be used to find the price of the shoes after the discount?
a) 0.30p
b) 0.70p
c) 1.30p
d) 30p
Answer:
Step-by-step explanation:
the answer is b