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3 years ago

Find the area of the figure. Round to the nearest tenth if necessary.

Mathematics

1 answer:

Anestetic [448]3 years ago

8 0

So I went ahead and divided up the figure so that you would understand what I'm going to tell you. Let's start with the red rectangle.

The distance from point R to point I is 6 units and the distance from Point R to point S is 5 units. 6*5 = 30 so that red rectangle has an area of 30 units

Now let's calculate triangle AVI. Area of a triangle is Base * Height. The base is 1 and the height is 5 which means the area of triangle AVI is 5.

Next, triangle ALT. From Point A to point L is 4 unit. From Point L to point T is 3 units. 4*3 is 12. So triangle ALT has an area of 12.

Triangle TSI. From Point T to point L is 3 units. From Point L to X is 2. Triangle TSI has an area of 6.

Now we add all of them up. 30+5+12+6 = 53. In total, RSTUV has an area of 53

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Drag tiles to fill in the blanks to complete the expression that could be used to predict the number of winners of a game. Tiles

ziro4ka [17]

Answer:

First blank - A)Total Number of Possible Outcomes

Second blank - B)Number of Winners

Step-by-step explanation:

The exact question is as follows :

We know that,

Probability of an event is equals to Total number of Favorable outcomes divided by Total number of outcomes

So,

P(event) = Number of favorable outcomes ÷ Total Number of Possible Outcomes

As we have to predict the Number of winners of a game

So,

P(Number of winner) = Number of winners ÷ Total number of Contestants

∴ we get

P(event) = Number of favorable outcomes ÷ Total Number of Possible Outcomes

= Number of winners ÷ Total number of Contestants

4 0

2 years ago

Find the equatio of the line tht contains the point (5,6) and is perpendicualr to the line 4x+2y=2

anzhelika [568]

--------------------------------------------------------------
Find Slope
--------------------------------------------------------------
4x + 2y = 2
2y= -4x + 2
y = -4/2 x + 2
y = -2x + 2

Slope = -2
Perpendicular slope = 1/2

--------------------------------------------------------------
Insert slope into the general equation y = mx + c
--------------------------------------------------------------
y = 1/2x + c

--------------------------------------------------------------
Find y-intercept
--------------------------------------------------------------
y = 1/2x + c
at (5,6)
6 = 1/2 (5) + c
6 = 5/2 + c
c = 6 - 5/2
c = 7/2

--------------------------------------------------------------
Insert y-intercept into y = 1/2 x + c
--------------------------------------------------------------
y = 1/2 x + 7/2
2y = x + 7

--------------------------------------------------------------
Answer: 2y = x + 7
--------------------------------------------------------------

3 0

2 years ago

The length of the red line segment is 18, and the length of the blue line segment is 8. How long is the transverse axis?

BabaBlast [244]

Your answer is 10 :)

5 0

2 years ago

What is the least possible degree of a polynomial that has roots -5, 1+4i, and -4i

N76 [4]

If complex coefficients are allowed, the answer is 3.

If the polynomial must have real coefficients, then each complex root comes as a pair of complex conjugate roots.

Root -5 is real, so that is 1 root, and degree 1.

Root 1 + 4i is complex, so it must come with its complex conjugate, 1 - 4i. This adds 2 roots to the polynomial, and now we're up to degree 3.

Root -4i is also complex. It also must come with its complex conjugate, 4i. That adds two more roots, and the degree is 5.

Answer: The least possible degree is 5 with real coefficients.

3 0

3 years ago

7) The ratio of boys to girls in a class is 2:3. If there are 18 boys in the class, how

VikaD [51]

Answer:

Step-by-step explanation:

Boys to girls is 2:3

and there are 18 boys so that means the 2 in 2:3 is actually 18

and 2 x 9 = 18 , so you would need to also multiply 3 by 9.

3 x 9 = 27

18:27

there are 27 girls

7 0

2 years ago