Answer:
A model of a shopping centre is drawn to scale where 1 cm on the model represent 4 m on the ground. Music shop Thabo's Sports Ware Fati's Clothing shop Grocery store PARKING Coffee shop Toilets Restaurant Shoe store Physiotherapy Health and Fitness center 1.1 Which shop is on the right of the physiotherapy? (2) 1.2 Describe the position of the Coffee Shop in relation to the Toilets. (2)
if the circle passing through the point (-1,0) touches the y- axis at (0,2) then what's the equation of the circle?
Answer:
(x +2.5)² +(y -2)² = 6.25
Step-by-step explanation:
A radius of a circle is perpendicular to the tangent line at the point of tangency. This means the center of the circle lies on the horizontal line through the point (0, 2), which is on the vertical tangent x=0 (the y-axis).
The center of a circle lies on the perpendicular bisector of any chord, so the perpendicular bisector of the given two points will pass through the circle center.
__
equation of the chord bisectorThe slope of the chord between the given points is found using the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (2 -0)/(0 -(-1)) = 2 ⇒ perpendicular has slope -1/2
The midpoint of the chord is ...
M = (A +B)/2 = ((0, 2) +(-1, 0))/2 = (-1, 2)/2 = (-1/2, 1)
The point-slope form of the perpendicular through the midpoint of the chord is ...
y -1 = -1/2(x -(-1/2))
__
center of the circleFor y = 2, the x-value is ...
2 -1 = -1/2(x +1/2)
-2 = x +1/2 . . . . . . multiply by -2
-2.5 = x . . . . . . . subtract 1/2
The circle center is (-2.5, 2), and the radius is 2.5 (distance from center to y-axis).
__
equation of the circleThe equation can be written as ...
(x -h)² +(y -k)² = r² . . . . . . circle with center (h, k) and radius r
(x -(-2.5))² +(y -2)² = 2.5²
(x +2.5)² +(y -2)² = 6.25
PLS HELP ASAP WILL GIVE BRAINLIEST
Answer:
C
Step-by-step explanation:
None of the others are vertical angles
a is supplementary angles
b is supplementary angles
d is alternate interior angles
sử dụng mô hình AD-AS phân tích cơ chế tác động của xuất khẩu ròng tới mức giá chung, việc làm và sản lượng.
Multiply (2x + 2y)(2x + 2y)
Answer:
4x² + 4y² + 8xy
Step-by-step explanation:
( 2x + 2y ) ( 2x + 2y ) = ( 2x + 2y )²
Formula : -
( a + b )² = a² + b² + 2ab
Here,
a = 2x
b = 2y
( 2x + 2y )²
= ( 2x )² + ( 2y )² + 2 ( 2x ) ( 2y )
= 2²x² + 2²y² + 8xy
= 4x² + 4y² + 8xy
If you have 2 cups and need 2tbsp how many servings can I get from the 2 cups
Answer:
16 servings
Step-by-step explanation:
there are 16 tablespoons in one cup so 16+16 is 32. then you divide that by 2 or you get 16 servings
look at the image and please help
A card is drawn at random without replacement. A second card is then drawn. Determine the probability of getting a number greater than 9 and a number less than 4 if cards are selected at a random
Step-by-step explanation:
it does not say what the card deck consists of, and how many cards of what type there are.
so, I assume a standard playing card set of 52 cards (no jokers) with 4 suits of
Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K
in that ranking of value.
so there are 4 cards of each of the 13 different types.
a card with a number greater than 9 means a 10, a J, a Q, or a K.
so, in total there are 4×4 = 16 such cards in the deck.
a card with a number less than 4 means an Ace, a 2, or a 3.
so, in total there are 4×3 = 12 such cards in the deck.
to get a number greater than 9 and a number less than 4 is a combination of the first card being greater than 9 and the 2 card being less than 4 OR the first card being less than 4 and the second card being greater than 9.
an "and" operation (without overlap) we represent by a multiplication, and an "or" operation (without overlap) by an addition.
remember, a probability is always
"desired cases / total possible cases".
so, the probability to draw a first card greater than 9 is
16/52 = 4/13
the probability to draw a second card greater than 9 (after a first card less than 4) is
16/51
because we still have all the large cards, but one of the smaller ones is now gone.
the probability to draw a first card less than 4 is
12/52 = 3/13
the probability to draw a second card less than 4 (after a first card greater than 9) is
12/51.
so, the complete probability of the scenario is
4/13 × 12/51 + 3/13 × 16/51 = 48/663 + 48/663 = 96/663 =
= 32/221 = 0.14479638...
if my assumptions about the cards are wrong, please adapt the numbers accordingly. but the basic structure of the calculation is the same.
A pair of shoes usually sells for $68. If the shoes are 20% off, and sales tax is 5%, what is the total price of the shoes, including tax?
Answer:
[tex]Total\ Price = \$57.12[/tex]
Step-by-step explanation:
Step 1: Determine the discounted price
[tex]Discount=Original* (Total\ percent - Sale\ percent)[/tex]
[tex]Discount=\$68 * (1 - 0.2)[/tex]
[tex]Discount=\$68 * (0.8)[/tex]
[tex]Discount=\$54.4[/tex]
Step 2: Determine the total with tax
[tex]Total\ Price = Discount * (Total\ percent + Tax\ percent)[/tex]
[tex]Total\ Price = \$54.4*(1+0.05)[/tex]
[tex]Total\ Price = \$54.4*(1.05)[/tex]
[tex]Total\ Price = \$57.12[/tex]
Answer: [tex]Total\ Price = \$57.12[/tex]
Hope this helps! Let me know if you have any questions
Calculate the distance between the points M=(−6, 1) and F = (1, −7) in the coordinate plane.
Answer:
let M point x1, Y1 and f point X2,y2 then we know the formula of distance root (x2-x1)^2+(y2-y1)^2 then you will found the distance
PLEASE HELP ME!!!!!
You are buying a house that is valued at $499.000. You pay a down payment of 20%. You finance the rest at 6.5% for 30 years. Your monthly mortgage payment is $2,522.94. For taxes, the house is assessed at 40 percent, with a tax rate of $3.03 per $100. You pay $1500 annually for homeowner's insurance. (32 points)
Price of House = ?
Down Payment = ?
Amount Financed (Mortgage principal) = ?
Monthly Payment = ?
# of monthly payments = ?
Total Payback = ?
Interest = ?
Assessed Valuation = ?
Real Estate Taxes (annual) = ?
Escrow Payment Per month (taxes & insurance) = ?
Monthly Payment to lender (escrow + mortgage) = ?
PLEASE SHOW FULL WORK!!!
The full workings for the house purchase you made on a mortgage are as follows:
1. Price of House = $499,000 (given)
2. Down Payment = $99,800 ($499,000 x 20%)
3. Amount Financed (Mortgage principal) = $399,200 ($499,000 - $99,800).
4. Monthly Payment = $2,522.94 (given)
5. Number of monthly payments = 360 months (30 x 12)
6. Total Payback = $908,258.40 ($2,522.94 x 360)
7. Total Interest = $509,058.40 ($908,258.40 - $399,200)
8. Assessed Valuation = $199,600 ($499,000 x 40%)
9. Real Estate Taxes (annual) = $6,047.88 ($199,600 x $3.03/$100)
10. Escrow Payment Per month (taxes & insurance) = $628.99 ($6,047.88 + $1,500)/12
11. Monthly Payment to lender (escrow + mortgage) = $3,151.93 ($628.99 + $2,522.94)
What is a mortgage?A mortgage is a loan arrangement that allows a borrower to buy some property, usually a house, without paying for the full cost immediately.
The borrower then makes a monthly payment, which includes the principal and its interest.
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Find the area of the polygon. 10cm 10cm 16cm
Answer:
see the attachment photo!
A circle has a radius of 6/7 units and is centered at (-2.3,5). Write the equation of this circle.
Answer:
[tex](x + 2.3)^{2} + y^{2} = \frac{36}{49}[/tex]
Step-by-step explanation:
To get the equation of a circle, plug your information into this equation:
[tex](x - h)^2 + (y - k)^2 = r^2[/tex]
Therefore, the equation of this circle is:
[tex](x + 2.3)^{2} + y^{2} = \frac{36}{49}[/tex]
In the diagram, the height of the cone is 3 times the
radius. The volume of the cone is 343 Pie cm^3?. What is the
height of the cone?
Answer:
height = 21 cm
Step-by-step explanation:
[tex]\textsf{Volume of a cone}=\sf \dfrac{1}{3} \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]
Given:
h = 3rVolume = 343π cm³Substituting given values into the formula and solving for r:
[tex]\implies \sf 343 \pi=\dfrac{1}{3} \pi r^2(3r)[/tex]
[tex]\implies \sf 343=\dfrac{1}{3}\cdot3r^3[/tex]
[tex]\implies \sf 343=r^3[/tex]
[tex]\implies \sf r=\sqrt[3]{343}[/tex]
[tex]\implies \sf r=7\:cm[/tex]
As h = 3r, substitute found value of r into the equation and solve for h:
[tex]\implies \sf h = 3r[/tex]
[tex]\implies \sf h=3(7)[/tex]
[tex]\implies \sf h=21\:cm[/tex]
Which expression is equivalent to a^7
Answer:
[tex]\sqrt{a^{6} *a}[/tex]
Step-by-step explanation:
when multiplying exponents, as long as the base is the same, you add the power. [tex]a^{6}*a^1=a^(6+1)=a^7[/tex]
A. On place 20000 f à intérêt composé au taux annuel t%. Au
bout d'un an on complète par un dépôt de 20000 f. Un an
après ce nouveau placement on retire la totalité soit :
44298 f. Calculer le taux t.
Answer:
Step-by-step explanation: Après un an on a 20000(1+t%)+20000
Après 2 ans on a 20000(1+t%)^2+20000(1+t%)^1=44298
On a donc 20000[(1+t%)^2+(1+t%)^1]=44298
En résolvant l’équation de second degré dans R, on obtient : t = 7%
The right rectangular prisms are similar. which statements are correct? check all that apply. the angles in the smaller prism measure 90 degrees. the perimeter of the rectangular bases changes by a factor of 2. the surface area changes by a factor of 8. the larger prism has twice the volume of the smaller prism. the area of the rectangular bases changes by a factor of 4.
The true statement about the right rectangular prisms include:
The angles in the smaller prism measure 90 degrees. The perimeter of the rectangular bases changes by a factor of 2.The rectangular bases changes by a factor of 4.How to illustrate the prism?It should be noted that a prism simply means a shape that has two identical shapes that face each other.
Here, the angles in the smaller prism measure 90 degrees and the perimeter of the rectangular bases changes by a factor of 2.
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Answer:
1,2, and 5
Step-by-step explanation:
50 x 1000
pls reply guys
Answer:
50,000 fifty-thousand
Step-by-step explanation:
Just use a calculator
868.4cm² =? m²
Simplify your answer. Type an integer or a decimal
Answer:
0.08684 m²
Step-by-step explanation:
1 m = 100 cm
1 m² = (100 cm)²
1 m² = 10000 cm²
868.4 cm² × (1 m²)/(10000 cm²) = 0.08684 m²
A circular ring has a diameter of 20 meters, find its circumference.
Answer:
62.8 meters
Step-by-step explanation:
Use the formula for circumference.
[tex]C = d\pi \\C = 20(3.14)\\C = 62.8[/tex]
9 hundreds 5 ten thousands
9 ones
Answer:
50,909
Sort the digits out from greatest to least, and form a number.
The number 92,581 is represented in standard form as the sum of its place values: 90,000 + 2,000 + 500 + 80 + 1.
Standard form is a way to represent numbers using digits.
In standard form, each digit's value is determined by its position in the number.
Given 9 ten thousands + 2 thousands + 5 hundreds + 8 tens + 1 one.
9 ten thousands means we have 9 sets of ten thousands, which is 9 × 10,000 = 90,000.
2 thousands means we have 2 sets of thousands, which is 2 × 1,000 = 2,000.
5 hundreds means we have 5 sets of hundreds, which is 5 × 100 = 500.
8 tens means we have 8 sets of tens, which is 8 × 10 = 80.
1 one is the value 1.
Now, let's add up all these values:
90,000 + 2,000 + 500 + 80 + 1
= 92,581.
So, the number 92,581 is represented in standard form as the sum of its place values: 90,000 + 2,000 + 500 + 80 + 1.
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Complete question:
Write the number in standard form.
9 ten thousands +2 thousands +5 hundreds + 8 tens +1 one
A local athletic facility offers a four-week training course, hoping to increase athletes’ running speeds. Thirty-five volunteer athletes are timed, in seconds, running a 50-yard dash before the training program begins and then again after the program is complete. The difference in running times (before training – after training) is calculated for each athlete. Are the conditions for inference met?
No. The athletes who volunteered for this study were not randomly assigned a treatment order.
No. The 10% condition is not met.
No. The Normal/Large Sample condition is not met because the sample size is too small.
Yes. All conditions are met.
Using the Central Limit Theorem, it is found that the correct option is given by:
Yes. All conditions are met.
What does the Central Limit Theorem state?It states that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the sampling distribution is also approximately normal, as long as n is at least 30.
In this problem, we have no information about the distribution, but the sample size is greater than 30, hence all the conditions have been met.
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Find the area of the window
Answer:
Area = 1250cm²
Step-by-step explanation:
Area of a kite = pq/2
where p and q are diagonals
p = 25+25 = 50
q = 30+ 20 = 50
Area of a kite = pq/2
Area = (50*50 ) / 2
Area = 1250cm²
Mr. Sanchez is pulling his luggage across the airport floor. He applies a 22-newton force to the handle of the bag when the bag makes a 72-degree angle with the floor. Find the magnitudes of the horizontal and vertical components of the force. Round your answers to the nearest tenth.
A. 23.7
B. 11.2
C. 9.5
D. 57.3
E. 30.0
F. 6.0
Answer:
its f
Step-by-step explanation:
Determine which of the expressions could be used to represent the following calculation: Divide the difference between 96 and 72 by 12. Select all that apply. A. ( 96 − 72 ) ÷ 12 B. 96 − ( 72 ÷ 12 ) C. ( 96 ÷ 12 ) − 72 D. 24 ÷ 12 E. 96 ÷ 6 THIS IS DUE TO DAY PLAESSSSSSSSSSSSSSSSSS HALP
Answer:
A. (96 - 72) ÷ 12
D. 24 ÷ 12
Step-by-step explanation:
Difference between 96 and 72 means subtract 72 from 96: 96 - 72
Divide by 12 means: ÷ 12
Therefore, "Divide the difference between 96 and 72 by 12" is:
⇒ (96 - 72) ÷ 12
As the difference between 96 and 72 is 24, we can also represent the calculation by:
⇒ 24 ÷ 12
A class quiz has 5 multiple-choice questions and each question has 4 possible answers (A, B, C, or D). Which spinner would best simulate this scenario?
A spinner with 2 equal sections.
A spinner with 4 equal sections. (correct)
A spinner with 6 equal sections.
A spinner with 8 equal sections.
so your question is
A class quiz has 5 multiple-choice questions and each question has 4 possible answers (A, B, C, or D). Which spinner would best simulate this scenario?
A spinner with 2 equal sections.
A spinner with 4 equal sections.
A spinner with 6 equal sections.
A spinner with 8 equal sections.
Ur answer is B..... hope this helps .... please mark Brainliest , or u don't have to its fine
If a = {6 6 4 7 -4 4 -6 9 -3} and B= {1 5 -8 9 -5 -8 9 -5 2}, find 3a +9B Matrix operations
Answer:
[tex]3A+9B=\begin{bmatrix} 27 & 63 & -60 \\\\ 102 & -57 & -60\\\\ 63 & -18 & 9 \end{bmatrix}[/tex]
Step-by-step explanation
[tex]A=\begin{bmatrix} 6 & 6 & 4\\\\7 & -4 & 4\\\\ -6 & 9 & -3\end{bmatrix}\: and \: B=\begin{bmatrix}1 & 5 & -8\\\\ 9 & -5 & -8\\\\ 9 & -5 & 2\end{bmatrix}[/tex][tex]\rightarrow 3A=3\begin{bmatrix} 6 & 6 & 4\\\\7 & -4 & 4\\\\ -6 & 9 & -3\end{bmatrix},\: \: 9B =9\begin{bmatrix}1 & 5 & -8\\\\ 9 & -5 & -8\\\\ 9 & -5 & 2\end{bmatrix}[/tex][tex]\rightarrow 3A=\begin{bmatrix} 3*6 & 3*6 & 3*4\\\\3*7 & 3(-4) & 3*4\\\\ 3(-6) & 3*9 & 3(-3)\end{bmatrix},\:\: 9B =\begin{bmatrix}9*1 &9* 5 &9( -8)\\\\ 9*9 & 9(-5) & 9(-8)\\\\ 9*9 & 9(-5) & 9*2\end{bmatrix}[/tex][tex]\rightarrow 3A=\begin{bmatrix} 18 & 18 & 12 \\\\ 21 & -12 & 12\\\\ -18 & 27 & -9\end{bmatrix},\:\: 9B =\begin{bmatrix} 9 & 45 & -72 \\\\ 81 & -45 & -72\\\\ 81 & -45 & 18\end{bmatrix}[/tex][tex]\rightarrow 3A+9B=\begin{bmatrix}18+9 & 18+45 & 12+(-72) \\\\ 21+81 & -12 +(-45) & 12+(-72)\\\\ -18+81 & 27+(-45) & -9+18 \end{bmatrix}[/tex][tex]\rightarrow 3A+9B=\begin{bmatrix} 18+9 & 18+45 & 12-72 \\\\ 21+81 & -12 -45 & 12-72\\\\ -18+81 & 27-45 & -9+18 \end{bmatrix}[/tex][tex]\rightarrow \purple{\bold{3A+9B=\begin{bmatrix} 27 & 63 & -60 \\\\ 102 & -57 & -60\\\\ 63 & -18 & 9 \end{bmatrix}}}[/tex]The perimeter of a rectangle is 84cm if the width of rectanle is 16 cm Find its lenth.
I need help with this question please!! See attached
Answer:
(a) 191 had side effects
(b) 370 had nausea
(c) 86 had both anxiety and fatigue
Step-by-step explanation:
See attached. We look at the Venn diagram to answer the different questions.
If you are color blind let me know and I will mark the attachment more clearly.
All of the following are negative examples of how climate change has impacted the Earth EXCEPT...
A. Destruction of coral reefs
B. Extinction risk for animals
C. Longer farming season
Answer:
C is the answer
Step-by-step explanation:
C. is only saying how farming seasons would be longer and is not an example of how climate change has impacted the Earth.
Answer:
I believe the answer to your question is the third answer (C).
Step-by-step explanation:
The reason why I chose the third answer is because the destruction of coral reefs is bad because multiple organisms in the water rely on them and if it's destroyed there will be a chain reaction with the ecosystem in a bad way. In addition, it is also not an extinction risk for animals because it is also a disadvantage because biodiversity will decrease and that will also cause problems. I believe a longer farming season is the answer because food and other things that farmers have to grow will last for longer periods of time and won't really disrupt anything going on in the ecosystem I think. I hope this helps although it may be wrong. I am not an expert when it comes to this type of stuff.