Answer: A rectangle is a quadrilateral in which all angles are right angles. A rectangle is a parallelogram, so its opposite sides are equal. The diagonals of a rectangle are equal and bisect each other.
Step-by-step explanation:
Triangle PQR with area 32cm square and base QR is an enlargement of Triangle ABC with area 8 cm square and base BC=3cm , what is the length of QR in cm?
a) 6
b) 8
c) 10
d) 12
Answer:
6 cm (Option A)
Step-by-step explanation:
GIVEN :-
ΔPQR whose area is 32 cm² & has base QR.ΔABC whose area is 8 cm² & has base BC = 3 cmΔPQR is an enlarged figure of ΔABC.TO FIND :-
Length of QRFACTS TO KNOW BEFORE SOLVING :-
Lets say there are two triangles ΔABC & ΔXYZ , who are similar to each other.
[tex]=> \frac{Area \: of \: ABC}{Area of XYZ} = (\frac{AB}{XY})^ {2} = (\frac{BC}{YZ})^2 = (\frac{AC}{XZ} )^2[/tex]
SOLUTION :-
In the question it's given that ΔPQR is an enlarged figure of ΔABC.
⇒ ΔPQR is similar to ΔABC.
[tex]=> \frac{Area \: of \: PQR}{Area \: of \: ABC } = (\frac{QR}{BC})^2[/tex]
[tex]=>\frac{32}{8} = (\frac{QR}{3})^2[/tex]
Root squaring both the sides ,
[tex]=> \sqrt{(\frac{QR}{3})^2} = \sqrt{\frac{32}{8} }[/tex]
[tex]=> \frac{QR}{3} = \sqrt{4} =2[/tex]
Multiplying both the sides by 3 ,
[tex]=> \frac{QR}{3} \times 3 = 2 \times 3[/tex]
[tex]=> QR = 6 \:cm[/tex]
Twice a number is 14. What is the number
Answer:
7
Step-by-step explanation:
Divide 14 by 2
The rate at which a chemical decomposes is increasing at a continuous 6.6 % % . What is the actual hourly percent increase
Answer:
the actual hourly percent increase is 6.823 %
Step-by-step explanation:
Given that data in the question;
rate chemical decomposes increasing continuously at 6.6 %,
r = 6.6% = 0.066
actual hourly percent increase = ?
Now,
hourly percent increase = ( [tex]e^r[/tex] - 1 ) × 100%
we substitute
hourly percent increase = ( [tex]e^{0.066[/tex] - 1 ) × 100%
hourly percent increase = ( 1.06823 - 1 ) × 100%
hourly percent increase = 0.06823 × 100%
hourly percent increase = 6.823 %
Therefore, the actual hourly percent increase is 6.823 %
[tex]2 {a}^{2} - 3ab + {b}^{2} from3 {a}^{2} + 2ab - {b}^{2} [/tex]
Answer:
a (a - b)
Step-by-step explanation:
[tex]2a^{2}-3ab+b^{2} from 3a^{2} + 2ab - b^{2}[/tex]
Now, as [tex]2a^{2}-3ab+b^{2}[/tex] is from [tex]3a^{2} + 2ab - b^{2}[/tex]
so it will be subtracted :
[tex]3a^{2} + 2ab - b^{2}[/tex] [tex]-2a^{2}-3ab+b^{2}[/tex]
= [tex]a^{2} - ab[/tex]
= a (a - b)
What is the miss angle in F?
Answer:
45
Step-by-step explanation:
The two angles add to 90 degrees since they are a right angle
F + 45 = 90
F = 90-45
F = 45
Simplify 6(2x-y) - 3(5x+2y)
-3x - 12y
O 3x + 12y
9x + 14y
Which one is the answer
Rob has 6 quarts of apple cider for the fall fair. He pours the cider into glasses to set on picnic tables. He pours 6 ounces of cider into each glass. How many glasses of cider does Rob set on the tables? Show your work.
Answer:
6 x 32 = 192 divided by 6 = 34
Step-by-step explanation:
Three polynomials are factored below, but some coefficients and constants are missing. All of the missing values of a, b, c, and d are integers.
1. x2 - 6x + 8 = (ax + b)(cx + d)
2.3x3 - 6x2 - 24x = 3x(ax + b)(cx + d)
3. 2x2 - 2x - 24 = (ax + b)(cx + d)
Fill in the table with the missing values of a, b, c, and d.
9514 1404 393
Answer:
(a, b, c, d) = (1, -4, 1, -2)(a, b, c, d) = (1, -4, 1, 2)(a, b, c, d) = (1, -4, 2, 6)Step-by-step explanation:
Once you remove the common factor from the terms, you are looking for factors of the remaining constant term that have a sum equal to the coefficient of the linear term. These factors are the constants in the binomial factors.
__
1. 8 = (-4)(-2) ⇒ x^2 -6x +8 = (x -4)(x -2)
(a, b, c, d) = (1, -4, 1, -2)
__
2. -8 = (-4)(+2) ⇒ 3x^3 -6x^2 -24x = 3x(x -4)(x +2)
(a, b, c, d) = (1, -4, 1, 2)
__
3. -12 = (-4)(3) ⇒ 2x^2 -2x -24 = 2(x -4)(x +3) = (x -4)(2x +6)
(a, b, c, d) = (1, -4, 2, 6) or (2, -8, 1, 3)
hey can i get help here? im just a middle schooler and my school just jumped into this with no explanation. so far highschoolers helped me understand it more than any teacher could. so in those terms, thank you so much!
Answer:
the closest answer is the last option, so I would say that is the correct one.
Step-by-step explanation:
4.5 x 4.5 x π =
20.25 x π =
63.6172....
Simplify each expression using Order of Operations.
a. 2(3 + 4) + 3 to the 3rd power
b. 5 + (3 to the 2nd power - 2 to the 2nd power)
Answer:
a) 4,913
b) 10
Step-by-step explanation:
a) [2(3 + 4) + 3]³
= [2(7) + 3]³
= (14 + 3)³
= 17³
= 4913
b) 5 + (3² - 2²)
= 5 + (9 - 4)
= 5 + 5
= 10
A camera company sells two types of Point and Shoot cameras. Model A costs $150 and Model B costs $225. If the company sold 22 cameras for a total $3900 last month, how many of each model were sold? PLEASE HELP ASAP!!
Answer:
A=14 and B= 8
Step-by-step explanation:
the equation systems:
150A + 225B = 3900
=> 6A + 9B= 156 .... (1)
A + B = 22 ..... (2)
<=> 6A + 9B = 156
6A + 6B = 132
_____________-
3B = 24
B= 8 and A = 22-8 = 14
is 0.45 greater than 0.5
Answer:
0.5
hope this helps
have a good day :)
Step-by-step explanation:
The diameter of a cone-shaped storage tank is 14 feet and it's height is 9 feet. Find the volume of liquid the tank can hold. Round your answer to the integer, if necessary. Use the approximate of value of /pi , that is 3.14.
Answer:
461.6 ft³
Step-by-step explanation:
V(cone) = 1/3πr²h
= 1/3π(7²)(9)
= 49·3π
= 147(3.14)
= 461.6 ft³
What percentage of $250 is $75?
To calculate the percentage,
75/250×100 = 30%
Answer:
30%
Step-by-step explanation:
75/250=0.3
0.3= 3/10
3/10=30%
6. Yenni bought some apple pies for $13 and had some money left. If she
buys 1 more apple
pie, she would have $0.20 left. If she decided to buy 3
more apple pies, she would be short of $1.80.
(a) How many apple pies did she buy with $13?
(b) How much money did Yenni have at first?
Answer:
A) Since each apple pie costs $ 1, with $ 13 Yenni bought 13 apple pies.
B) Yenni had $ 14.20 at the beginning.
Step-by-step explanation:
Since Yenni bought some apple pies for $ 13 and had some money left, and if she buys 1 more apple pie, she would have $ 0.20 left, while if she decided to buy 3 more apple pies, she would be short of $ 1.80, for To determine how many apple pies did she buy with $ 13, and how much money did Yenni have at first, the following calculations must be performed:
0.20 - (-1.80) = X
0.20 + 1.80 = X
2 = X
2/2 = 1
Therefore, since each apple pie costs $ 1, with $ 13 Yenni bought 13 apple pies.
13 + 1 + 0.20 = 14.20
14.20 - 13 = 1.20
In turn, Yenni had $ 14.20 at the beginning.
Please help within 5 minutes!!
Answer:
F
Step-by-step explanation:
The square root of 10 is about equal to 3.16, F is closest to that.
in a study of 225 adults the average heart rate was 72 beats per minute assume the population of heart rates is known to be approximately normal with a standard deviation of 10 beats per minute what does a margin of error of 1.1 for the 90% confidence interval of the average beats per minute mean
Answer:
There Is A 90% Chance That The Population Mean Is Between 70.9 And 73.1 Beats Per Minute. There Is A 90% Chance That The Population Mean Is Between 62 And 82 Beats Per Minute. There Is A 10% Chance That The Population Mean Is Less Than 72 Beats Per Minute
Hope it helps
The figure shows a BD is 90° split by the Line BC the measure of ABC is X degrees in the measure of DBC is 3X +10° what is the value of X
X=20° is your answer
Step-by-step explanation:
X+3x+10°=90°
4x+10°=90°
4x=(90-10)°
X=80/4
X=20°
Find the volume of the trapezoidal prism following.
Answer:
60 cm³
Step-by-step explanation:
Applying,
Volume (V) = Area of the base(A)×Height(h)
V = Ah................ Equation 1
From the diagram,
A = Area of Trapezium
A = 1/2(a+b)c............. Equation 2
Substitute equation 2 into equation 1
V = [1/2(a+b)c]h........... Equation 3
Given: a = 3 cm, b = 7 cm, c = 3 cm, h = 4 cm
Substitute these values into equation 3
V = [3(3+7)/2]4
V = (3×10/2)4
V = (3×5)4
V = 15×4
V = 60 cm³
Determine the value of x.
Question 11 options:
A)
5
B)
5
C)
10
D)
Answer: [tex]\frac{10}{\sqrt{3}}[/tex]
This is equivalent to [tex]\frac{10\sqrt{3}}{3}[/tex]
======================================================
Explanation:
To get the first value mentioned above, we simply divide the long leg (10) over the square root of 3.
This is due to the fact that if x is the short leg, then x*sqrt(3) is the long leg. We go in reverse of this process to go from long leg to short leg.
The expression [tex]\frac{10}{\sqrt{3}}[/tex] is the same as [tex]\frac{10\sqrt{3}}{3}[/tex] after we multiply top and bottom by sqrt(3) to rationalize the denominator.
Side notes:
This entire process only applies to 30-60-90 triangles.The hypotenuse of a 30-60-90 triangle is twice as long as the short leg, so the hypotenuse is [tex]2x = 2*\frac{10\sqrt{3}}{3} = \frac{20\sqrt{3}}{3}[/tex] units long. You could use the tangent ratio to help isolate x. You would either say tan(30) = x/10 or tan(60) = 10/x as the first equation to set up.solve the equation
f(n)=10⋅2n for n = -2
Answer:
f(n)= -40.
Step-by-step explanation:
does anyone know the answer to this i need help really bad!!!
Step-by-step explanation:
1/20.5 is yr ansstay safe healthy and happy...X=
0 4
06
0 12
pls help !
Answer:
maube 12
Step-by-step explanation:
i am not sure ..but try ur luck
Find the missing measure for a right circular cone given the following information.
Find h if r = 5 and V = 100 pi.
4
12
30
Answer:
[tex]Volume = \frac{1}{3} \pi r^2 h \\\\r= 5\\Volume = 100\pi\\\\Find \ h.\\\\h = 3\frac{V}{\pi r^2} = 3 \times \frac{100 \pi}{\pi \times 5^2} = 3\times \frac{100}{25} = 3 \times 4 = 12[/tex]
Suppose that you have the option to buy an itern with either cash or credit?Under which condition would you use credit?
A if you don't want to pay interest
B if you want to build a good credit history
C if you like carrying a lot of cash on you
Answer:
Step-by-step explanation:
B. You build credit by using credit cards so b is the answer.
I need the answer I will mark brainlist pls
Answer:
8 I belive is C and 9 I think is D :)
24% of what is 25? Round to the nearest tenth.
Teresa is loading her car with boxes that each weigh 4 pounds. If Teresa loads 9 of these boxes, find the combined weight of the boxes.
A.42 3/4
B.13 3/4
C.36 3/4
D.40 1/4
The confidence interval is pretty wide and leaves a lot of uncertainty over the proportion of UCI students who live on campus. With the goal to estimate a narrower 95% confidence interval, what is a simple change to this study that you could suggest for the next time that a similar survey is conducted
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Researchers must increase the response rate to achieve a narrower confidence interval. Because we see that the trust gap is inverse to sample size. We must increase data in estimating a narrower 95-percent trust range. Since the sample has increased, its error margin has decreased, this reduces the width of the trust interval.
If it takes 8 people to build a shed in 6 days, how long will it take 12 people?
Answer:
Step-by-step explanation:You can dowly/3fcEdSxnload the ans[tex]^{}[/tex]wer here. Link below!
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Answer:
4 days
Step-by-step explanation:
(8×6)/12 = 48/12 = 4