Question 6
A person standing 35 feet from a street light casts a shadow as shown. What is the height h of the street light? Assume the triangles
are similar
61
101
a
26 ft
30 ft
b
С
45 ft
27 ft
d
Answers
Answer:
Option (D)
Step-by-step explanation:
From the figure attached,
Since, ΔABD and ΔECD are the similar triangles,
Their corresponding sides will be proportional.
[tex]\frac{AB}{EC}=\frac{BD}{CD}[/tex]
[tex]\frac{h}{6}=\frac{(x+10)}{10}[/tex]
10h = 6(x + 10)
Since, the person is standing 35 feet from a street light,
x = 35 feet
By substituting the value of x in the equation,
10h = 6(35 + 10)
10h = 270
h = 27 ft
Therefore, height of the street light will be 27 feet.
Option (D) is the answer.
Related Questions
please help!! i need math help loll
Answers
Answer:
x=3
Step-by-step explanation:
Answer:
x = 3
Step-by-step explanation:
3 * 3 * 3 = 27
Hope this helps and pls do mark me brainliest if you can:)
There are 4 squares and 6 circles. What is the simplest ratio of squares to circles?
Answers
Answer:
2 : 3
Step-by-step explanation:
We have 4 squares and 6 circles. We would like the ratio of squares to circles, so we divide 4 by 6:
4 / 6 ⇒ the ratio here would be 4 : 6
We need to simplify this. Notice that both 4 and 6 are divisible by 2. So, we can divide both by 2:
4/2 : 6/2 ⇒ 2 : 3
2 and 3 don't share any factors other than 1, so we leave the ratio like this.
The answer is thus 2 : 3.
~ an aesthetics lover
what is the quadrant or axis on which the point is located (0.5, -7) ?
Answers
Answer:
Step-by-step explanation:
quadrant 4 (x is positive and y is negative)
6. Find the slope between:
(4, -3) and (8, -3)
Answers
Answer:
0
Step-by-step explanation:
To Find the slope Divide the y by x.
6x+3<7-2x
I’m not sure if I’m doing it right so an explanation would be nice
Answers
Answer:
x<0.5
Step-by-step explanation:
this is just like simplifiying equations if you've done that before
first you want to isolate the variable, so you want to combine the values of x (in this case it's 6x and the -2x)
so you can either add 2x to both sides or you can subtract 6x on both sides, in this case ill just add 2x to both sides.
Then you subtract 3 from both sides to get 8x<4
after you get that, you want to divide both sides by 8, and you generally want to do that step last, it makes it easier, and you get x<1/2 or 0.5
just a reminder that with working with inequalities, you want to remember to flip the direction the inequality is whenever you divide by a negative number
what expresion is equal to
Answers
Answer:
The second option and the last option
Step-by-step explanation:
10^5 equals 100000 and if you try all options the only 2 that also equal 100000 is those two.
so the last one
y varies directly as x. if x = 10 when y = 40, find x when y = 200.
Answers
Answer:
x = 50
Step-by-step explanation:
Given that y varies directly as x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition
x = 10 when y = 40, then
40 = 10k ( divide both sides by 4 )
4 = k
y = 4x ← equation of variation
When y = 200, then
200 = 4x ( divide both sides by 4 )
50 = x
Which expression does the number line represent? A number line going from 0 to StartFraction 9 Over 4 EndFraction in increments of one-fourth. Arrows go from 0 to three-fourths, from three-fourths to six-fourths, and from six-fourths to nine-fourths.
Answers
Answer: 9/4 divided by 3/4
Step-by-step explanation: i took the test
Answer:
D
Step-by-step explanation:
2021 moment
The graph below shows line segment XY. What is the slope of the line segment MN? ANSWER CHOICES:
A. -2
B. -1/2
C. 1/2
D. 2
Answers
Answer:
D. 2
Step-by-step explanation:
The rise is +2. The run is +1. Slope = (rise/run) = (+2/+1) = 2
can someone please solve −5 − y = −3x
Answers
Answer:
Slope = 3
x-intercept = 5/3 = 1.66667
y-intercept = 5/-1 = -5.00000
Step-by-step explanation: Notice that when x = 0 the value of y is 5/-1 so this line "cuts" the y axis at y=-5.00000
y-intercept = 5/-1 = -5.00000
When y = 0 the value of x is 5/3 Our line therefore "cuts" the x axis at x= 1.66667
x-intercept = 5/3 = 1.66667
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line -y+3x-5 = 0 and calculate its properties
Two groups of friends go to a movie. Each ticket costs the same amount. One group spends $57. The other group spends $95. List all possible whole number ticket prices for each group. At most how much does each ticket cost? Suppose a group of 2 friends goes to this movie. At most how much does this group spend?
List all possible whole number ticket prices for the group that spends $57. Select all that apply.
A. $19
B.$1
C. $57
D. $95
E. $3
F. $5
List all possible whole number ticket prices for the group that spends $95. Select all
that apply. A. $3
B. $19
C. $1
D. $57
E. $95
F. $5 At most how much does each ticket cost?
Answers
Answer:
1) All possible number tickets for group that spends $57: A, B, C, D
2) All possible number tickets for group that spends $95: B, C, E, F
3) Each ticket will cost at most $19
Step-by-step explanation:
We are told that one group spends $57 dollars while the other group spends $95.
Now,we want to find all possible whole number ticket prices for each group and at most how much each ticket costs.
To do this, let's first find the factors of both amounts which will give us all possible whole number ticket prices for each group.
57: 1, 3, 19, 57
95: 1, 5, 19, 95
Since each ticket costs same amount, to find out at most how much each ticket costs, we will select the highest common factor of both groups which is 19.
Thus,each ticket will cost at most $19
Arianna runs up 4 flights of stairs and then runs down 4 flights of stairs does this situation represent additive inverses explain
Answers
put these numbers from least to greatest
0.491, 0.49, 0.09, 19.4, 0.049
Answers
Answer:
0.09, 19.4, 0.49, 0.049, 0.491
Step-by-step explanation:
Please help ASAP !! Need it rn
Answers
Answer:
if the lines have arrows at the end then the domain is infinite.
Step-by-step explanation:
Lines are infinite
Answer:
Domain: x ∈ all real numbers
Step-by-step explanation:
It appears to be the function |x|-1 and that is defined by all values of x. Meaning that the domain is x can be any value.
the equation y=mx+b is given. solve the equation for b
Answers
Answer:
b = y - mx
Step-by-step explanation:
Given
y = mx + b ( isolate b by subtracting mx from both sides )
y - mx = b
Answer:
b=y-mx
Step-by-step explanation:
You need to get b by itself, so you subtract mx.
Simplify 3n+7-n-3
Thank you!
Answers
combine all like terms!
that would be 3n-n and 7-3, which would leave you with 2n and 4
simplified, it would be 2n+4 :)
I really need the answers or im dead
Answers
Answer:
graph it and all of the #s will be negitive
Step-by-step explanation:
Answer:
W: (1, 4)
X: (4, 4)
Y: (6, 2)
Z: (5, 1)
Step-by-step explanation:
Rule for rotaion 270° counterclockwise (90° clockwise): (x, y) ⇒ (y, -x)
J: (-4, 1) ⇒ W: (1, 4)
K: (-4, 4) ⇒X: (4, 4)
L: (-2, 6) ⇒ Y: (6, 2)
M: (-1, 5) ⇒ Z: (5, 1)
What number is 32% of 79?
thanks so much
Answers
Answer:
25.28
Step-by-step explanation:
Answer:
25.28
Step-by-step explanation:
what is y=3x^2+24x+45
Answers
y = 3x^2 + 24x + 45
y = 3 (x^2 + 8x + 15)
y = 3 (x + 3) (x + 5)
Vertex Form:
y = (3x^2 + 24x )+ 45
y = 3 (x^2 + 8x) + 45
y = 3 (x^2 + 8x + 16) + 45 - (16•3)
y = 3 (x + 4)^2 - 3
Vertex form was done by completing the square.
Which term is the constant in 17 – 3p?
second time asking
Answers
Hope this helps!!!
I should pay attention in class more smh
Answers
Answer:
I think the slope is unidentified.
Hope this Helps!
Find the equation of the line of the below:
Answers
Answer:
y = -x + 9
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Step 1: Define
(0, 9) y-intercept
(9, 0) x-intercept
Step 2: Find slope m
[tex]m=\frac{0-9}{9-0}[/tex]
[tex]m=\frac{-9}{9}[/tex]
[tex]m=-1[/tex]
y = -x + b
Step 3: Write linear equation
y = -x + 9
Answer:
y = -x + 9
Step-by-step explanation:
Slope Formula:
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Step 1: Define
(0, 9) y-intercept
(9, 0) x-intercept
Step 2: Find slope m
y = -x + b
Step 3: Write linear equation
y = -x + 9
Hector had $98.70. He spent $52.67 for school clothes. How much money does Hector have left?
Answers
Answer:
$46.03
Step-by-step explanation:
Answer: A) $ 46.03
Step-by-step explanation: I took away $98.70 and $52.67 and I got A as answer :)
if X to the second power is 20, what is the value of X????????? can someone please help meeeeeee
Answers
Answer:
[tex] {x}^{2} = \: 20 \\ \sqrt{x \: {}^{2} } = \sqrt{20} \\ x = 4.472135955[/tex]
Answer:
x = 2√5
Step-by-step explanation:
Hi there !
x² = 20
x² = 4×5
x² = 2²×5
x = √2²×5
x = 2√5
Good luck !
Alex bought 2 1/4 pounds of M&Ms and 1.6 pounds of gummy worms. If the M&Ms cost $2 per pound, and the gummy worms cost $ $2.75 per pound, how much did he spend?
Answers
Answer:
Alex paid $8.90 total. $4.50 for the M&Ms and $4.40 for the gummy worms.
Step-by-step explanation:
2 [tex]\frac{1}{4}[/tex] is equivalent to 2.25, and if each pound is worth $2, then you would multiply the cost by each pound bought, shown like this: $2 (2.25) = $4.50 (You are distributing the $2 to find the product).
$2.75 (1.6) = $4.40
$4.50 + $4.40 = $8.90
when y= 1.5x, if x= 6, what is y?
Answers
ANSWER IS 9
Explanation; mulitply 1.5 with 6
Answer:
9 is the answer I believe
Step-by-step explanation:
multiply 1.5 by 6.
Find the slope of the table
Answers
Answer:
The slope should be -5/8
Step-by-step explanation:
The equation used to find the slope using a table is:
[tex]\frac{y2-y1}{x2-x1}[/tex]
To get the values, take two points from the table. For example:
(8, -5) and (16, -10)
Write and classify them as (x1, y1) and (x2, y2). Knowing that these values equal the numbers, put the numbers in the equation above, and you should find the slope.
13. Belle is buying pizzas for her daughter's birthday party, using the prices in the table. Which
equation best describes the relationship between the total cost c and the number of pizzas p?
Pizzas
Total Cost ($)
5
26.25
10
52.50
15
78.75
a) c = 26.25p
c) c = 5.25p
b) c = p + 26.25
d) c = 6p - 3.75
Answers
How many 1-foot-square border tiles do you need to surround a pool that is 10 feet long and 5 feet wide
Answers
Carnival T charges an entrance fee of $7.00 and $0.50 per ticket for the rides. Carnival Q charges an entree fee of $12.00 and $0.25 per ticket for the rides. How many tickets must be purchased in order for the total cost at Carnival T and Carnival Q to be the same?
Answers
Answer:
$30
Step-by-step explanation:
Calculation for the tickets that must be purchased for Carnival T and Carnival Q to be the same
Based on the information given let x be the number of ticket to be purchased .
Carnival T entrance fee= $7.00
Ride= $0.50 per ticket
Carnival Q entree fee =12.00
Ride= $0.25 per ticket
Tickets=$7.00 + ($0.50* x) = $12.00 + ($0.25* x)
.25 x = 5.00
Hence:
x=$.25+$5.00
×=$30
Therefore the amount of tickets that must be purchased in order for the total cost at Carnival T and Carnival Q to be the same will be $30