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3 years ago

Draw a line from each figure to an area

Mathematics

1 answer:

Georgia [21]3 years ago

3 0

Answer:

A=27 cm^2

B=24 cm^2

C=26 cm^2

D=28 cm^2

Step-by-step explanation:

Break each problem down into individual shapes.

For instance, A can be split into a 3 by 3 square and a 6 by 3 square.

Get the area by multiplying the length & height: A = L * H

For the triangles the area is the same equation divided by 2 A=LH/2

Shapes with unclear dimensions like C can be skipped and have their area revealed through process of elimination.

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PLS PLS HELP, I DONT WANT TO FAIL!!

Flura [38]

Answer:

2.0 seconds

Step-by-step explanation:

Given quadratic functions:

$\begin{cases}y=-7x^2+26x+3\\y=-6x^2 +23x+5\end{cases}$

To find the time, in seconds, that the balloons collided at the highest point, substitute one equation into the other equation and rearrange to equal zero:

$\begin{aligned}-6x^2+23x+5 & = -7x^2+26x+3\\-6x^2+23x+5+7x^2 & = -7x^2+26x+3+7x^2\\x^2+23x+5 & = 26x+3\\x^2+23x+5-26x & = 26x+3-26x\\x^2-3x+5& = 3\\x^2-3x+5-3& = 3-3\\x^2-3x+2& = 0\end{aligned}$

Factor the quadratic:

$\begin{aligned}x^2-3x+2 & = 0\\x^2-2x-x+2 & = 0\\x(x-2)-1(x-2) & = 0\\(x-1)(x-2) & = 0\\\end{aligned}$

Apply the zero-product property to solve for x:

$\implies (x-1)=0 \implies x=1$

$\implies (x-2)=0 \implies x=2$

Therefore, the balloons collided at 1 second and 2 seconds.

To find at which time the highest point of collision occured, substitute both values of x into one of the functions:

$f(1)=-6(1)^2 +23(1)+5=22$

$f(2)=-6(2)^2 +23(2)+5=27$

Therefore, the time, in seconds, that the balloons collided at the highest point is 2.0 seconds.

Learn more about quadratic systems of equations here:

brainly.com/question/27930827

8 0

1 year ago

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The "core" inflation rate is typically defined as the change in consumer prices for all goods included in the CPI basket except

Ganezh [65]

Answer:

Higher

Step-by-step explanation:

1) In Macroeconomics, The core inflation rate does not include food and energy since these categories are way more volatile, due to oil and season matters. And statistically this measure looks for more robust items, to compose the core inflation in a more accurate way. The Consumer Prices Index (CPI) is the metric used for the cost of living.

Another Index, used by the Fed is the PCE, for the goods and services consumed by the US residents.

So, the Core inflation is based on CPI and PCE, Personal Consumption Expenditure therefore the inflation rate for the past year was higher than 4%, for it is not solely based on CPI index.

6 0

3 years ago

I need more help....sorry haha

kozerog [31]

Number 7: 11/12-9/10 = 110/120-108/120=2/120= 1/60

number 8: 5/18-1/3=15/54-5/54=10/54 =5/27

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3 years ago

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estimate 0.037854921 to the nearest hundredth express your answer as a single digit times a power of 10

Vilka [71]

To solve this problem you must apply the proccedure shown below:

1. Let's round the value to the nearest hundredth. As you can see, the digit 8 is in the thousandths place and is greater than 5, therefore, you must round up to 0.038.

2. Now express the value as a single digit times a power of 10, as following:

$38$ x $10^{-3}$

Therefore, the answer is: $38$ x $10^{-3}$

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2 years ago

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(-5/6) + c = (-11/12)

rosijanka [135]

(-5/6) + c = (-11/12)
c=-11\12+5\6
c=19\12 or 1 7\12

4 0

3 years ago

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