The drawing at the right shows a person,
5 feet tall, casting a shadow 3 feet long.
The tree is casting a shadow 15 feet long.
How tall is the tree?
Answer:
I would say the tree is 18 feet tall
Answer: 25 feet tall
Step-by-step explanation:
First, let's take a look at the person. If they are 5 feet tall and cast a shadow of 3 feet, we can easily convert this into a proportion: 5 feet tall: 3 feet shadow.
Continuing with this method, we can convert the tree into a proportion: x feet tall: 15 feet shadow.
So, 5:3=x:15. Mathematically, think of it as 5/3=x/15.
To find x, you will need to multiply 15 to both sides, or perform cross multiplication. (5/3)(15)=(x/15)(15). This will equal 25. The tree is 25 feet tall.
can someone help me with this? (look at the image)
Answer:
H = (-1,3)
G = (-1,-1)
Step-by-step explanation:
If (x – 5) is a factor of f(x), which of the following must be true?
A: A root of f(x) is x=-5
B: A root of f(x) is x=5
C: Both x=-5 and x=5 are roots of f(x)
D: Neither x=-5 nor x=5 are a root of f(x)
Answer:
i believe it is B
Step-by-step explanation:
x-5=0
+5 +5
x=5
Katrina wants to build a fence around her Square Garden the garden has an area of 121 square feet How much Fencing will Katrina Need?
A. 13 Feet
B. 26 Feet
C. 39 Feet
D. 44 Feet
Answer:
D. 44 because its the primemiter
Ten(10) adults and 3 children attend a local concert for $59. Four(4) adults and 3
children attend the same concert for $29. How much does it cost for each to attend?
Answer:
$5 per adult and $3 per kid
Step-by-step explanation:
5x10=50
3x3=9
50+9=59
4x5=20
3x3=9
20+9=29
Erica went bowling with her friends. She paid $3 to rent shoes and then $5 for each game of bowling. If she
spent a total of $23, then how many games did Erica bowl?
Answer:
4 games
Step-by-step explanation:
23 - 3 = 20
20 / 5 = 4
A rectangular sheet of paper $8\frac{1}{2}$ inches by 11 inches is folded and then taped so that one pair of opposite vertices coincide. What is the number of inches in the perimeter of the resulting pentagon
Answer:
32.2 inches
Step-by-step explanation:
8) The midsegment of an equilateral triangle measures 6 yards. What is the perimeter of the equilateral
triangle?
A) 18 yards
B) 36 yards
C) 6 yards
D) 9 yards
Abigail drew a scale drawing of the oldest house in her town. The actual house is 64 feet long. Abigail's scale drawing is 8 inches long. What scale did Abigail use to draw the house? 8 inches equal 1 foot 8 inches equal 18 foot 1 inch equals 18 foot 1 inch equals 8 feet
Answer:
1 inch equals 8 feet
Step-by-step explanation:
Given that;
Abigail drew a scale drawing of the oldest house in her town.
The actual length of the house = 64 feet long
Abigail scale drawing = 8 inches long
The scale he used in drawing the house is determined by choosing a perfect scale:
i.e
If 8 inches is used to draw an actual length of a house which is 64 feet long,
Then 1 inch should be able to draw (64 feet * 1 inch)/ 8 inches
So, 1 inch should be able to draw 8 feet long
The scale used to draw the given house is required.
The scale used to draw the diagram is 1 inch equals 8 feet.
Scale diagramsActual length of the house = 64 feet
Scale drawing length = 8 inches
So,
[tex]64\ \text{feet}=8\ \text{inches}[/tex]
Now, the inches to feet is required.
So, we divide both sides with 8.
[tex]\dfrac{64}{8}\ \text{feet}=\dfrac{8}{8}\ \text{inches}\\\Rightarrow 8\ \text{feet}=1\ \text{inch}[/tex]
So, 1 inch in the diagram is 8 feet of actual length.
Learn more about scale diagrams:
https://brainly.com/question/3489790
c(x) = -5x^2+x
Find c(4)
Answer:
c(4) = -76
Step-by-step explanation:
c(x) x=4 so plug 4 in for x
-5(4)² + (4)
Do parentheses first so... 4² = 16
-5(16) + 4
-5(16) = -80
-80+4 = -76
c(4) = -76
Express the null hypothesis and the alternative hypothesis in symbolic form that would be used for a hypothesis test. A psychologist claims that more than 5.8 percent of the population suffers from professional problems due to extreme shyness.
Answer:
Null Hypothesis
H₀ : P = 3.8
Alternative Hypothesis
H₁: P > 3.8
Step-by-step explanation:
Explanation:-
Null Hypothesis :-
The single statistic, H₀ will be that the sample statistic
H₀ : There is does not differ significantly from hypothetical parameter values
H₀ : P = 3.8
Alternative Hypothesis:
The statistic , H₁ will be the sample statistic
H₁: There is differ significantly from hypothetical parameter values
H₁: P > 3.8
Anybody know the answer to this?
The school doubledutch team needs to raise at least $850 to buy new practice equipment. The team received a donation of $125, and also earns $4 per ticket sold. What is the least number of
tickets that need to be sold for the team to have enough money for the new practice equipment?
181 tickets
Answer:
$850 equipment
$125 from donation
they need $725
Step-by-step explanation:
if they earn $4 per ticket,
725÷4= 181.25
thus they need to sell atleast 182 tickets to have enough money
Answer:
850$ from equipment
and 150$ from it
What is the perimeter of the parallelogram?
29 cm
80 cm
58 cm
32 cm 2
Step-by-step explanation:
2 sides of the parallelogram are 13cm and the other 2 sides are 16cm
Perimeter of the parallelogram
= 2 * 13cm + 2 * 16cm
= 26cm + 32cm
= 58cm.
Answer:
58 [tex]cm^{2}[/tex]
Step-by-step explanation:
last one i think if not i will post the last one this is confusing
Answer: 23
Step-by-step explanation: Because you do 34-11
Answer:
45 units
Step-by-step explanation:
Expression: |-34 + 11|Simplify: 34 + 1134 + 11 = 45 unitsI hope this helps!
I need help with this
Answer:
14
Step-by-step explanation:
add
-2x -3=9 solve and explain
Answer:
-6
Step-by-step explanation:
-2x - 3 = 9
+ 3 +3
-2x = 12
/ -2 / -2
x = -6
A 3-pound bag of almonds costs $16.50, a 5-pound bag of walnuts costs $28.75, and a 4-
pound bag of cashews costs $24.80. Which is the best deal from best to worst deal
Answer:
a 3 pound almonds is the best deal with the 5 pound bag of walnuts being the second and the 4 pounds of cashews is the worst deal
Step-by-step explanation:
the almonds cost 5.50$ a pound the 5 pound bag of walnuts cost 5.75$ dollars a pound and the 4 pound bag of cashews cost 6.20$ a pound
Owen simplified the expression r-8 s-5.
There are no like terms.
Answer:
=r−8s−5
Proportions - 5/10
earn 5 coins
A recipe needs 2 tablespoons of vegetable oil for every cup of flour. If you plan to use 3 cup
Flour, how much vegetable oil will you need?
Answer:
2 t / 1 c
2/1=x/3
6=x
6 tablespoons
Answer:
8 Tablespoons trust me.
Step-by-step explanation:
help me please I have no idea what the answer is
Answer:
-21/10
Step-by-step explanation:
-2/5 - 4/5 = -6/5 <--
a common denominator
Then...
-6/5 -9/10 = -21/10
There is not a common denominator so you have to multiply 2 to the -6/5 to make it -12/10
The answer can be left as an improper fraction which is -21/10
or a mixed number -2 1/10 th
The graph shows the amount of money paid when purchasing bags of peanuts at the zoo:
I REALLY NEED HELP!!!
A graph is shown. The x-axis is labeled from 0 to 9. The y-axis is labeled from 0 to 13. Four points are shown on the graph on ordered pairs 0, 0 and 1, 4 and 2, 8 and 3, 12. These points are joined by a line. The label on the x-axis is Bags of peanuts. The title on the y-axis is Total cost in dollars.
What does the point (0, 0) on the graph represent? (4 points)
a
The cost of one bag of peanuts
b
The cost of zero bags of peanuts
c
The cost of two bags of peanuts
d
The cost of three bags of peanuts
Answer:
B, the cost of 0 bags
Step-by-step explanation:
Answer:
b) The cost of zero bags of peanuts
Explanation:
Because it is at (0,0), that means it's at $0 and 0 bags of peanuts based on the labels for the x and y axis.
Please help me on this
Answer:
PAGE 1
8.) d
9.) b
PAGE 2
6.) b
7.) d
PAGE 3
4.) c
5.) a
PAGE 4
1.) c
2.) c
3.) a
PAGE 5
10.) b
11.) d
Step-by-step explanation:
PAGE 1
8.) x - 20 + x + 10 = 180 (collect like terms)
2x - 10 = 180 (add 10 on both sides)
2x = 190 (divide by 2 on both sides)
x = 95
9.) 2y + y = 180 (collect like terms)
3y = 180 (divide by 3 on both sides)
y = 60
x = y ----> x = 60
PAGE 2
6.) 16x - 6 = 90 (add 6 on both sides)
16x = 96 (divide by 16 on both sides)
x = 6
7.) 5x + 30 = 7x (subtract 5x on both sides)
30 = 2x (divide by 2 on both sides)
15 = x
PAGE 3
4.) <8 and <16 are corresponding angles
5.) 180 - 130 = 50
PAGE 4
1.) HD and GE are skew lines
2.) AC, EG, and BD are parallel to FH
3.) EF, GH, and BF are perpendicular to FH
PAGE 5
10.) | and || only are the only ones correct
11.) l || m, by the Converse of the Consecutive Interior Angles Theorem.
b/c the two angles equal 180 together and one angle is on line l and the other is on line m. This shows they're parallel.
Hope this helps ya!!
Melanie is making lemonade for a family barbecue. Her recipe which yields 1 pitcher contains 6 cups of water, 2
cups of sugar and 1 cup of lemon juice. If she wants to make 3 pitchers of lemonade, how many cups of sugar
will she need?
A patient requires a 30% decrease in the dosage of his meds. His current dose is 340 mg. What will his dosage be after the decrease?
Answer:
238 mg
Step-by-step explanation:
340 x 0.30 = 102
340 - 102 = 238
A robot has a straight arm 20 inches long that can rotate about the origin of a coordinate system. If the robot’s hand is located at (-20,0) and then rotates through an angle of 45°, what is the new location of the hand with the coordinates approximated to the nearest 0.01 inch?
Answer:
The location of the robots hand after rotating 45° counterclockwise from (-20, 0) in inches is (-14.14, 14.14)
The location of the robots hand after rotating 45° clockwise from (-20, 0)) in inches is (-14.14, -14.14)
Step-by-step explanation:
The initial location of the robots hand = (-20, 0)
The angle through which the robot rotates his hand = 45°
∴ We have the length of the robots hand = 20 inches
We note that (-20, 0) is in the 2nd Quadrant
The location of the robots hand after rotating 45° counterclockwise = 135°
Therefore, the location of the robots hand after the rotation = (20×cos(135°), 20×sin(135°)) = (-10·√2, 10·√2) = (-14.14, 14.14)
The location of the robots hand after rotating 45° clockwise from (-20, 0) = 225°
Therefore, the location of the robots hand after the rotation = (20×cos(225°), 20×sin(225°)) = (-10·√2, -10·√2) = (-14.14, -14.14)
The probability of a female student being chosen to be on the football team is
1/28 . If there are 840 female students in a school, how many could be on the football team?
The ratio of 8 less than a number to 28 more than that number is 2 to 5. What is the number?
a. 32
b. 30
c. 28
d. 15
Answer:
let the number be x
then
(x-8): (x+28) = 2:5
on solving
5x-40= 2x+56
3x = 96
x = 32
Step-by-step explanation:
Section 1
Evelyn reads 25 pages in 30 minutes.
Number of Pages
25
400
Time (in minutes)
30
?
If Evelyn reads 400 pages at this same rate, how many minutes will it take her?
O 90 minutes
O 120 minutes
O 375 minutes
0 480 minutes
Carlo drives into the city for work. His
average drive time is 48 minutes but
can vary by 15 minutes depending on
the traffic conditions on his way. Which
equation can he use to determine the
shortest and longest average drive
times?
Answer:
The most likely time 48 mins but there is differently some traffic if it normal takes 48 mins it would be 40.5 mins with no traffic.
Step-by-step explanation: