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10 months ago

Fill in the missing values from the similar figures in the table

Mathematics

1 answer:

Tems11 [23]10 months ago

3 0

Step-by-step explanation:

9 × 1/2 = 4.5

8 × 1/2 = 4

hope it's helpful

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How do you estimate 289 and 7

padilas [110]

You first round 289 and get 290 then multiply it by 7

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2 years ago

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How can data or a graph be misleading?

Shtirlitz [24]

The correct answer should be
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2 years ago

Anna wants to buy a car in two years and wants to have $10,000 for the purchase. How much will Anna need to deposit today in an

Brut [27]

Answer:

Anna will need to deposit $\$9,050.25$

Step-by-step explanation:

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=2\ years\\A=\$10,000\\ r=0.05\\n=12$

substitute in the formula above and solve for P

$10,000=P(1+\frac{0.05}{12})^{12*2}$

$10,000=P(1.0042)^{24}$

$P=10,000/(1.0042)^{24}$

$P=\$9,050.25$

8 0

2 years ago

the scale given on a road map is 1 cm equal 120 km what is the actual distance represented by 6 cm on the map

elena55 [62]

Answer:

720

Step-by-step explanation:

6 x 120=720

Every 1 cm=120 km

So multiply both sides by 6 and you get

6 cm= 720 km

8 0

2 years ago

The locations:

GREYUIT [131]

The quadrilateral is a trapezoid and the area of the quadrilateral is 85.04 square units

<h3>How to determine the quadrilateral?</h3>

The vertices are given as:

A:(-2, 3) B:(4, -6) C:(10, 2) D:(6, 8)

Next, we plot the vertices (see attachment)

From the attached graph, we can see that the quadrilateral is a trapezoid

<h3>How to determine the area?</h3>

From the plot, we have the following features:

Height: AD

Parallel sides: CD and AB

Calculate the lengths using:

$d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}$

So, we have:

$AD = \sqrt{(-2 -6)^2 + (3 -8)^2}$

$AD = \sqrt{89}$

$CD = \sqrt{(10 -6)^2 + (2 -8)^2}$

$CD = \sqrt{52}$

$AB = \sqrt{(-2 -4)^2 + (3 +6)^2}$

$AB = \sqrt{117}$

The area is then calculated as:

Area = 0.5 * (CD + AB) * AD

This gives

Area = 0.5 * (√52 + √117) * √89

Evaluate

Area = 85.04

Hence, the area of the quadrilateral is 85.04 square units