Answer:
5.88 meters
Step-by-step explanation:
This is a problem of scale factor which uses the concept of ratio.
scale factor is the ratio of length of actual figure to length of its model.
Example: if an architect is drawing design for a building
if height of building is 100 meter but he is drawing this on paper of 1 meter then scale factor will 100/ 1= 100: 1.
It means that for every 100 meter of length of building, it can be represented by 1 meter of its model.
Thus if a building has length 200 meter then its model will be of 200/100 = 2 meter length.
______________________________________
We will solve the given problem based on use of this concept.
Height of man = 1.78 meter
since in picture unit of measure is in cm, lets convert 1.78 meter to centimetre.
1 meter = 100 cm
1.78 meter = 100* 1.78 cm = 178 cm
height of man in picture = 2.3 cm
Scale factor = actual Height of man/Height of man in picture
= 178/2.3 = 77391
_________________________________________
ratio of actual height of flagpole / height of flagpole = actual Height of man/Height of man in picture
Substituting the value given in problem we have
actual height of flagpole/7.6 = 178/2.3
=>actual height of flagpole = (178/2.3)* 7.6 = 588.172 cm.
Thus height of pole is 588.172 cm.
In meter, height of pole is 588.172*100 cm
height of pole is 5.88 meters
Use only the digits 0 - 9 and the decimal and the negative sign, if needed, to fill in the blank. If f(x) = 3x – 8, then f(-4.7) = _____.
Answer:
-22.1
Step-by-step explanation:
f(x) = 3x – 8,
Let x = -4.7
f(-4.7) =3(-4.7) -8
=-14.1-8
-22.1
Mrs. Juarez graded ten English papers and recorded the scores. 92, 95, 100, 62, 88, 90, 100, 96, 89, 98 Which statements are true? Check all that apply.
Answer:
A, B, E
explanation:
Answer:
A: The range of scores is 38.
B: Without the outlier, the range of scores would be 12.
C: The outlier impacts the range more than it impacts the interquartile range.
D: The interquartile range is 9.
F: Without the outlier, the interquartile range would be 9.5.
Step-by-step explanation:
edg2020
PLEASE HELP WILL GIVE BRAINLIESTT
What is 40% percent of 10?
Answer:
4
Step-by-step explanation:
10*4=40
questions
5 cm
,5 cm
5 cm
- Apply What is the surface area to volume
ratio of this cube?
Answer:
idk sorry ion see a cube .
Step-by-step explanation:
please help (probability question)!
Answer:
There are 64 possible outcomes.
Step-by-step explanation:
Each flip has 2 options, heads or tails.
head tail
One flip has 2 outcomes. When you flip again, you can get this set of 4 outcomes:
head-head tail-head
head-tail tail-tail
Then when you flip a third coin, each of those cases has 2 cases itself. As you can see, each flip that is added, the total number of outcomes doubles. For 6 flips, you do 2x2x2x2x2x2 or [tex]2^{6}[/tex].
Fill in the blanks:-
The product of a number and its reciprocal is __________ .
PLEASE HELP.....I NEED TO SUBMIT IT NOW
Answer:
The product of a number and its reciprocal is 1.
For i.e : 4/3 and its reciprocal 3/4, 4/3 x 3/4 = 1
Hope this helps!
:)
I need help with these problems!!!
How would I solve them, can someone explain the steps please, or check if there correct?
Answer:
Step-by-step explanation:
You roll a die 30 times. The table shows the results. Find the experimental probability of rolling each number. Write each probability as a fraction in simplest form. For which number is the experimental probability of rolling the number the same as the theoretical probability?
Answer:
i need this answer too someone please answer lol
Convert 7/6 to a mixed number
7 out of 6 ymto a mixed number is
1¹/6
Ahmed was studying the shapes of quartz crystals, one of which he outlined below.
A figure can be broken into a parallelogram and triangle. The parallelogram has a base of 3 feet and height of 5 feet. The triangle has a base of 3 feet and height of 2 feet.
What is the area of the quartz crystal he was studying, in square feet?
Answer:
I believe it is 18 square ft.
Answer:
18 feet sq
Step-by-step explanation:
got it right on the test:)
A cosine function is a reflection of its parent function over the x-axis. The amplitude of the function is 11, the vertical shift is 9 units down, and the period of the function is 7pi/12. The graph of the function does not show a phase shift. What is the equation of the cosine function described?
Fill in the blanks using values from this list: -20, -11, -9, -2, 2, 9, 11, 20, 7pi/12,12pi/7,7/24,24/7
f(x)=___cos(_____x)______
We have been given that a cosine function is a reflection of its parent function over the x-axis. The amplitude of the function is 11, the vertical shift is 9 units down, and the period of the function is [tex]\frac{7\pi}{12}[/tex]. The graph of the function does not show a phase shift. We are asked to write the equation of our function.
We know that general form a cosine function is [tex]y=A\cos(b(x-c))-d[/tex], where,
A = Amplitude,
[tex]\frac{2\pi}{b}[/tex] = Period,
c = Horizontal shift,
d = Vertical shift.
The equation of parent cosine function is [tex]y=\cos(x)[/tex]. Since function is reflected about x-axis, so our function will be [tex]y=-\cos(x)[/tex].
Let us find the value of b.
[tex]\frac{2\pi}{b}=\frac{7\pi}{12}[/tex]
[tex]7\pi\cdot b=24\pi[/tex]
[tex]\frac{7\pi\cdot b}{7\pi}=\frac{24\pi}{7\pi}[/tex]
[tex]b=\frac{24}{7}[/tex]
Upon substituting our given values in general cosine function, we will get:
[tex]f(x)=-11\cos(\frac{24}{7}x)-9[/tex]
Therefore, our required function would be [tex]f(x)=-11\cos(\frac{24}{7}x)-9[/tex].
A package of books weighs 72 ounces. What is the weight of the package in pounds?
Answer: 4.5 pounds
Explanation: To convert 72 ounces into pounds, we use the conversion factor for ounces and pounds which is 16 ounces = 1 pound.
Next, notice that we're going from a smaller unit, ounces, to a larger unit, pounds and when we go from a smaller unit to a larger unit, we divide. So here, we divide 72 by the conversion factor, 16, to get 4.5.
So 72 ounces equals 4.5 pounds.
The legs of a right triangle are 4 units and 7 units. What is the length of the hypotenuse?
Answer:
8.06/65
Step-by-step explanation:
4^2+7^2=8.06^2
16+49=65
Answer:
square root of 65
Step-by-step explanation:
4^2 + 7^2 = x^2
16+ 49= x^2
x^2 = 65
x= sqrt 65
You are tiling the floor of a 6-foot by 8-foot bathroom. The sink occupies a 3-foot by 2-foot area and the bathtub occupies a 5-foot by 3-foot area. You do not need to tile the area occupied by the sink or bathtub. How much of the floor, in square feet, do you need to tile?
Answer:
The floor, in square feet, you need to tile is [tex]27ft^{2}[/tex]
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes.
To solve this problem we need to calculate the areas of the sink and the bathtub and subtract it from the the area of the the bathroom, the result is the amount of space you need to tile
Step one
Area of sink
[tex]area= length * width\\ area= 3* 2 = 6 ft^{2}[/tex]
Area of bathtub
[tex]area= length * width \\area= 5*3\\area= 15ft^{2} \\[/tex]
Area of bathroom
[tex]area= length* width\\ area = 8* 6\\area=48ft^{2}[/tex]
Step two
To calculate the area we need to tile
let us subtract the areas of the bathtub and the sink from the bathroom we have
[tex]= 48-15-6\\=27ft^{2}[/tex]
Janet is in a race at a summer camp. She must run around a circular lake. She knows rhe diameter of the lake is 1.5 miles how far will Janet run? Use 3.14 for π
Answer:
4.71 miles
Step-by-step explanation:
Janet must run the length of the circumference of the circular lake.
The circumference of a circle is given as:
C = πD
where D = diameter of the circle.
The diameter of the circular lake is 1.5 miles. Therefore, its circumference is:
C = 3.14 * 1.5
C = 4.71 miles
She must run 4.71 miles.
Answer:
4.71
Step-by-step explanation:
What is the measure of angle x
Answer:
x = 145°Step-by-step explanation:
by looking at the figure we notice that angles AOB and BOC are two supplementary angles which means:
x + 35 = 180
then
x = 180 - 35
then
x = 145
At a furniture store there is a sale on kitchen tables and chairs. Single chairs sell $80 each. If a customer a set of 4 chairs, the total price would. be $250. What is the percent savings on the 4-chair set? Round to the nearest whole percent.
Answer:
4%
Step-by-step explanation:
1% of 250 is $2.50. Times 4 is $10. The difference between 240 and 250 is 10.
Answer:
235
Step-by-step explanation:
The point-slope form of a line that has a slope of
and passes through the point (3, 0) is shown.
y -0 =3(2-3)
What is the equation in slope-intercept form?
A. y=1/4x-3
B. y=1/4x3/4
C. y=3/4x-1/4
D. y=1/4x-1/12
Melaine charges $4.50 per hour when she washes cars, plus $5.00 for supplies. Which function rule represents the amount y melaine cahrges to wash cars for x hours?
A y= 0.50x
B y= 4.50x + 5.00
C y= 5.00x + 4.50
D y= 9.50x
Answer:
B y= 4.50x + 5.00
Step-by-step explanation:
4.50 is the “mx” in y=mx+b also known as the Slope that moves.
the 5 is the ”b” which is the y-intercept. It is a constant and does not change.
(100 POINTS):( You will be reported if you provide an inapplicable answer)
use this function to answer the questions
f(x) = 2x^2 − 5x + 3
-Find The X intercepts of the graph
-Is the Vertex Going To Be Minimum Or Maximum? (I may be able to figure this one out)
-What is The Coordinates Of The Vertex?
-What Would You Do To Graph f(x)?
Please Explain because I want to understand it! mainly just need help with the first and then I may be able to take it from there.
Answer:
x-intercept(s):
(1,0),(3/2,0)
y-intercept(s): (0,3)
Use the formula
x=−b/2a to find the maximum and minimum.
Ans;(5/4,−1/8)
Coordinates Of The Vertex
(5/4,−1/8)
Zero (roots)
x=1,3/2
Step-by-step explanation:
5 miles and 8 ft. or 8800 yards
Answer:
5 miles and 8 ft because 8,800 yard is equal to 5 miles and 5 miles and 8 ft is larger than 5 miles
Step-by-step explanation:
Answer is above
Larger than 5 miles
Hope this helps.
Can someone pls help me!!
Erica has a small metal treasure box. The inside of the box is 3 inches wide, 6 inches long, and 4 inches deep. Erica wants to line the box with fabric to protect the items she puts in the box. How many square inches of fabric will she need? Show your work
Answer: she will need 108 square inches of fabric.
Step-by-step explanation:
To determine the number of square inches of fabric that she will need, we would determine the surface area of the inner part of the box. The formula for determining the surface area of a box or cuboid is expressed as
Surface area = (2lw + 2lh + 2wh)
Where
l represents length of the box = 6 inches
w represents width of the box = 3 inches
h represents height of the box = 4 inches
Therefore,
Surface area = (2 × 6 × 3) + (2 × 6 × 4) + (2 × 3 × 4) = 108 inches²
A square with sides X ft long has a perimeter of 34.2 How long are the sides of the square?
Answer:
Each side is 8.55
Step-by-step explanation:
The perimeter of a square is given by
P =4s
34.2 = 4s
Divide each side by 4
34.2 /4 = 4s/4
8.55 = s
Each side is 8.55
Answer:
Each side is 8.55Step-by-step explanation:
[tex]perimeter \: = x + x + x + x \\ 34.2 = 4x \\ \frac{34.2}{4} = \frac{4x}{4} \\ x = 8.55[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Two boats started to move towards each other from two boat stations, located 30 miles apart. One boat moved at a speed of 3 miles per hour, the other moved twice as fast. How soon will the boats meet?
Answer:
The boats will meet in 3.33 hours.
Step-by-step explanation:
A(t) = B(t)
3t = 30 - 6t
9t = 30
t = [tex]\frac{30}{9}[/tex]
t = 3.33
y=2x+3
y=−3x+3
find slope and y-intercept
Answer:
y = 2x + 3 → Gradient / slope = 2 → Y - intercept = 3
y = -3x + 3 → Gradient / slope = -3 → Y - intercept = 3
Step-by-step explanation:
y = mx + c
This is the standard way an equation of a line is written. The 'm' of the line is the slope/gradient and the 'c' is the y - intercept. You can find the x-intercept by making y = 0. When the questions asks you to find the gradient you should never put 'x' after it only the number so
y = 2x + 3
Gradient / slope = 2
Y - intercept = 3
y = -3x + 3
Gradient / slope = -3
Y - intercept = 3
There are a total of 193 member states (countries) in the united nations as of 2014.The member states are divided into regional groups. The asia group has one less member than the africa group. The european groups are smaller: eastern europe has four less than half the africa group. The western europe group (which includes the united states) has 6 more than eastern europe. The latin america group has 21. Less than the africa group. One country (kiribati, in the central pacific ocean) is in no regional group at all. How many countries are in each of the five groups?
Answer:
Africa = 54 countries
Asia = 53 countries
Eastern Europe = 23 countries
Western Europe = 29 countries
Latin America = 33 countries
Step-by-step explanation:
193 member states - Kiribati = 192 countries
Asia = Africa - 1
Eastern Europe = 0.5Africa - 4
Western Europe = 0.5Africa + 2
Latin America = Africa - 21
Africa
Africa + (Africa - 1) + (0.5Africa - 4) + (0.5Africa + 2) + (Africa - 21) = 192
4Africa - 24 = 192
4Africa = 192 + 24 = 216
Africa = 216 / 4 = 54
Asia = 54 - 1 = 53
Eastern Europe = 0.5(54) - 4 = 23
Western Europe = 0.5(54) + 2 = 29
Latin America = 54 - 21 = 33
Africa is = 54 countries
Asia is = 53 countries
Eastern Europe is = 23 countries
Then, Western Europe is = 29 countries
After that, Latin America = 33 countries
What is Logical Data Grouping?Then, 193 member states - Kiribati = 192 countries
After that, Asia = Africa - 1
Now, Eastern Europe = 0.5Africa - 4
Western Europe is = 0.5Africa + 2
Latin America is = Africa - 21
Africa
Africa + (Africa - 1) + (0.5Africa - 4) + (0.5Africa + 2) + (Africa - 21) = 192
4Africa - 24 = 192
4Africa = 192 + 24 = 216
Africa = 216 / 4 = 54
Asia = 54 - 1 = 53
Eastern Europe = 0.5(54) - 4 = 23
Western Europe = 0.5(54) + 2 = 29
Therefore, Latin America = 54 - 21 = 33
Find more information Logical Data Grouping here:
https://brainly.com/question/22607492
what are the factors of 36x⁸-49?
Answer:
(6x^4+7)(6x^4-7)
Step-by-step explan
Answer:
The common factor is 1
(6x^4+7) (6x^4-7)
Step-by-step explanation:
Lucas built a composite solid by joining 12 identical blocks, with dimensions 4 inches by 5 inches by 7 inches, into three
ows of four as shown.
7 in.
5 in
4 in
What is the total surface area of the composite solid?
O 521 square inches
1,042 square inches
1,072 square inches
O 1.992 square inches
Answer:
1042 square inches is the total surface area of composite solid.
Step-by-step explanation:
It is clear from the image that the resulting composite solid is a cuboid.
whose sides are as follows:
Across the length there are 3 blocks along the side of 7 inches each.
Length = [tex]7 \times 3 = 21\ inch[/tex]
Width = 5 inch
Across the height there are 4 blocks along the side of 4 inches each.
Height = [tex]4 \times 4 = 16\ inch[/tex]
We know that total surface area of a cuboid is as follows:
[tex]\text{Total Surface Area = } 2 (l\times w+ w \times h+ h \times l)[/tex]
[tex]\Rightarrow 2 (21 \times 5 + 16 \times 21 + 16 \times 5 )\\\Rightarrow 2 (105 + 336+80)\\\Rightarrow 2 \times 521\\\Rightarrow 1024[/tex]
Hence, total surface area = 1024 square inches
Step-by-step explanation: i got it right
