Answer:
One proportion to solve is 8/18 = x/8Exact answer as a fraction: x = 32/9Approximate answer in decimal form: x = 3.556In reality, the 5's go on forever, but we have to round off somewhere.
========================================================
Explanation:
Break up the triangles as your teacher recommends. See the diagram below as to what I mean.
The smaller triangle has A = 8 as the horizontal side, and B = x as the vertical side
The larger triangle has C = 10+8 = 18 as the horizontal aside, and D = 8 as the vertical side.
We can form the proportion A/C = B/D.
A/C connects the horizontal sides (small/large) while B/D has the vertical sides tied together. The order of division is the same small over large. You could do large over small, but make sure you keep both sides consistent.
-----------------
Let's solve for x
A/C = B/D
8/18 = x/8
8*8 = 18*x .... cross multiply
64 = 18x
18x = 64
x = 64/18 .... divide both sides by 18
x = 32/9 exactly in fraction form
x = 3.556 approximately in decimal form
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Another proportion you can solve is A/B = C/D and you should get the same x value. It's the same as A/C = B/D because the B and C swap places. There are many other approaches you could take using different proportions.
i need help with this please
Answer:
650 cm²
Step-by-step explanation:
Use the formula 2(lw+wh+lh)
Plug in the stuff: 2(5*9+9*20+5*20)=2(45+180+100)=2(325)=650 cm²
And there you go!
Please mark brainliest!
which fraction on the number line is equal to 3 can someone help me with this please
Answer: 9/3
Step-by-step explanation:
Answer:
12/4 is equal to 3
I looked for numbers that were multiples of 4 and divided all of them to see which one was equal to 3.
12 divided by 4 = 3
Step-by-step explanation:
Which number is farthest from 0
Answer:
17
Step-by-step explanation:
it 17 trust me
Answer:
17
Step-by-step explanation:
Write the numbers least to greatest.
-15, 0, 9, 10, 17
Then, highlight the one on the very right.
-15, 0, 9, 10, 17
Have a wonderful day! :)
If the function f ( x ) = x 3 is transformed to f ( x ) = ( 2 x ) 3 , what will the effect be on the function’s graph?
Answer:
Step-by-step explanation:
6.
A softball pitcher throws a softball to a catcher behind home plate. The softball is 3 feet above the ground when it leaves the pitcher's hand at a velocity of 50 feet per second. If the softbal's acceleration is - 16
Ft/s2. This can be modeled with the equation (h=height, t=time) h(t)=16t^2 +50t+ 3
What is the time at which the softball would hit the ground it it were not hit or caught?
A.) .5 seconds
B.)3.12 seconds
c.) 3.18 seconds
D. ) 2.42
Answer:
Using their equation and the fact that the ball will fall 3 ft before reaching the ground:
3 = 16 t^2 + 50 t + 3 represents the given situation
16 t^2 + 50 t = t (16 t + 50) = 0
16 t + 50 = 0
t = 50 / 16 = 3.12 sec
Help please. It’s geometry and it asks to find the shaded region.
Answer: (a)
Step-by-step explanation:
Given
The diameter of the inner circle is [tex]d=14\ m[/tex]
thickness of the strip is [tex]t=2\ m[/tex]
So, the radius of inner circle is [tex]r=7\ m[/tex]
Radius of the outer circle [tex]R=7+2=9\ m[/tex]
Area of the shaded region is the difference of the area of outer circle and inner circle.
[tex]\Rightarrow \pi R^2-\pi r^2\\\Rightarrow \pi (9^2-7^2)\\\Rightarrow 3.142\times 32\\\Rightarrow 100.5\ m^2[/tex]
hence, option (a) is correct.
The amount of attendance at a dinner must go from being 57 people to 65 people. What is the percent of change
Answer:
4%
Step-by-step explanation:
Solve for X and Find AC
3. A company is designing a juice box. The box is in the shape of a
rectangular prism. The base of the box is 6 inches by 2 inches and
the box is 4 inches high tice fills 90% of the box volume find the
volume of juice in the box
Answer:
48in^2 or just 48 dont forget to include the inches and squared
Step-by-step explanation:
What model represents the expression
Answer:
A
Step-by-step explanation:
short cut, it has 5 dashes/ point markings
please help me with this :)
Answer:
153.938 units². On Microsoft Edge they have a calculator specfically for surface area, volume, area, and more. Check it out.
Step-by-step explanation:
Answer:
i would believe it is 49 units2
Step-by-step explanation:
Can someone help on this?
Answer:
D
Step-by-step explanation:
p(x, y) reflection on y axis = p'(-x, y)
Solve plz
500 - 2.23
Answer:
497.8
Step-by-step explanation:
500-2.23=497.77=497.8
Answer:
500-2.23500-2.23497.77hope it helps
stay safe healthy and happy.What is the range of the function graphed below? PLS HURRRYYRR :)
NO LINKS....................What is 60% of 80
Answer:
48
Step-by-step explanation:
80 x 0.6 = 48
For the following system is the 2nd equation to make substitution for y in the first equation 2x+y=6 y=3x+4
Answer:
x= -20/3 y= -8/3
Step-by-step explanation:
x= -20/3 y= -8/3
Which expression is equivalent to 2-2 x 22?
Answer:
-42
Step-by-step explanation:
Following Order of Operations, we have to multiply before subtracting, so
[tex]2-2*22[/tex]
[tex]=2-44[/tex]
[tex]=-42[/tex]
Using order of operations, we get -42.
Find the length of the third side. If necessary, round to the nearest tenth.
20
25
Answer:
15
Step-by-step explanation:
hypotenuse (h) = 25
perpendicular (p) = 20
base (b) = ?
we know by using Pythagoras theorem we get
b = √h² - p²
= √25² - 20²
= √225
= 15
Can someone help me with this? Right answer gets brainliest!! :)
Answer:
7 times (*) 8
Step-by-step explanation:
Product in this case means multiplication
13. Randomly selected nonfatal occupational injuries and illnesses are categorized according to the day of week that they first occurred, and the results are listed below. Use a .05 significance level and that such injuries and illnesses occur with equal frequency on the weekend. State the null and alternative hypotheses, the pvalue, and conclusion. Day Fri Sat Sun Number 21 19 10
Answer:
Part A
The null hypothesis H₀; The injuries and illnesses have no relationship in the weekend
The alternative hypothesis Hₐ; The injuries and illnesses occur with equal frequency on the weekend
Part B
P-value from;
Tables, 0.1 < P([tex]\chi^2[/tex] < 4.12) < 0.9
Chi-square calculator, P([tex]\chi^2[/tex] < 4.12) = 0.87
Step-by-step explanation:
The given data is presented as follows;
[tex]\begin{array}{ccc}Day&&Number\\Fri&&21\\Sat&&19\\Sun&&10\end{array}[/tex]
The significance level, α = 0.05
Part A
The hypothesis is to test that the given injuries and illnesses occur with equal frequency of the weekend
The null hypothesis H₀; The injuries and illnesses have no relationship in the weekend
The alternative hypothesis Hₐ; The injuries and illnesses occur with equal frequency on the weekend
Let the expected frequency, each day of the weekend = (21 + 19 + 10)/3 = 50/3 = 16.[tex]\overline 6[/tex]
We get;
[tex]\begin{array}{ccc}Day & Observed \ Number& Expected \ Number \\Fri&21& 16.\overline 6\\Sat&19&16.\overline 6\\Sun&10&16.\overline 6\end{array}[/tex]
The chi-square test statistics
[tex]\chi^2[/tex] = (21 - 50/3)²/(50/3) + (19 - 50/3)²/(50/3) + (10 - 50/3)²/(50/3) = 4.12
The [tex]\chi^2_u[/tex] with (3 - 1) = 2 degrees of freedom = 5.991
The decision rule, [tex]\chi^2[/tex] > 5.991, we reject the null hypothesis
Given that we have [tex]\chi^2[/tex] = 4.12 < 5.991, we fail to reject H₀, therefore, there is not enough statistical evidence to suggest that the meal plan are related at α = 0.05
Part B
From the chi-square table, we have the p-value at 2 degrees of freedom for the test statistic of 4.12 is between 0.9 and 0.1
Using the chi-square calculator, we have;
P([tex]\chi^2[/tex] < 4.12) = 0.87.
Fatima is 1.27 metres tall.
Charlotte is 0.89 metres tall
Find the missing angle in this triangle
Answer: The 2nd one
Step-by-step explanation:
HELP!!! THIS IS DUE TODAY! I WILL MARK BRAINLIEST
A card is drawn from a standard deck of cards. What is the probability
that a spade is drawn, then replaced, and a red card is drawn second?
A card is drawn from a standard deck of cards. What is the probability that a spade is drawn, NOT replaced, and another spade is drawn?
Answer:
With replacement
[tex]probability \ of \ spade = \frac{13}{52} = \frac{1}{4} \\\\ probability \ of red\ card = \frac{26}{52} =\frac{1}{2}[/tex]
[tex]probability \ of \ spade \ then \ red\ card\ without\ replacement =[/tex][tex]\frac{1}{4} \times \frac{1}{2} = \frac{1}{8}[/tex]
Without replacement
[tex]probability \ of\ spade = \frac{13}{52} = \frac{1}{4} \\\\probability \ of \ spade\ again =\frac{12}{51} = \frac{4}{17}[/tex]
[tex]probability \ of \ spade \ then \ red\ card\ without\ replacement = \frac{1}{4} \times\frac{4}{17} =\frac{1}{17}[/tex]
what percent does housing take up in this family budget of four
a.50%
b.18%
c.31%
d.45%
Sabrina babysits for young kids in her neighborhood. Last Friday night, she babysat one child for 2 hours and made $16. Tonight, she babysat one child for 6.5 hours and made $34. Determine and interpret the rate of change and initial value.
Andrew drives through 5 intersections with stoplights on his way to work. He
records that he is stopped by a red light in 2 of the 5 intersections. If he uses
this as his general probability of getting stopped at a red light on his way to or
from work, how many times can he expect to be stopped at a red light over the
next 40 times he drives through an intersection on his route?
Andrew should expect to be stopped
times.
Answer:
16 times
Step-by-step explanation:
2 out of 5 is 40%
40 x 40% = 16
Answer: 16 times
Step-by-step explanation:
Write the equation in standard form for the circle with radius 4 centered at the origin
Answer:
common form to write the equation of a circle in is the center-radius form. The center-radius form is: (x−h)2+(y−k)2=r2 Here, the center point is denoted by (h,k) and r is the radius of the circle. The first example he does is: Find the center and radius of the circle given by the equation (x−2)2+(y+4)2=25.
Answer:
x² + y² = 16
Step-by-step explanation:
We need to write the standard equation of circle with , centre (0,0) and radius 4 unit . The Standard equation of the circle ⭕ is ,
=> ( x - h)² + (y -k)² = r²
=> ( x -0)² + (y-0)² = 4²
=> x² + y² = 16 .
• Hence the equation of the circle is x² + y² = 16.
The frequency of a radio wave varies inversely as its wavelength. If a 250-meter wave has a
frequency of 1,200 kilohertz, what is the wavelength of a wave that has a frequency of 6,000
kilohertz? Round your answer to the nearest meter
Answer:
50 m
Step-by-step explanation:
Do the following lengths form a right triangle? Show your work.
12
5
13
Please answer quick
Answer:
yes
Step-by-step explanation:
side 5 and side 12 where the angle is you can form a square in the corner
James has decided to start saving for a cruise over the summer. His money is
currently in the local bank, modeled by the function s(x) = 102. He is able to do work
around the neighborhood to earn extra money and that function would be a(x) = 8
+ 2), where x is measured in hours. Explain to James how he can create a function
that combines the two, and describe any simplification that can be done.
EXPLAIN IN COMPLETE SENTENCES
Answer:
f(x)=8x +118
Step-by-step explanation: