Surface area = Area of rectangle + Areas of triangles.
Area of rectangle = 9cm * 15cm = 135cm2.
Areas of triangles = 6cm * 3cm = 18cm2.
Surface area = 135 + 18 = 153cm2
Answer:
103.
Step-by-step explanation:
The initial budget is $5,323 and has already spent $2,748, so the remain budget is $2,575. If the meal price per guest is $25, so:
$2,575 / $25 = 103
She can invite up to 103 guests.
Question:
If the measure of arc CB is
units, what is the measure of ∠CAB?
Answer:
120°
Step-by-step explanation:
The figure has been attached to this response.
The figure shows a circle centered at A and has a radius of 4 units.
Also, the length of the arc CB (as given in the question) is
units.
The length <em>L </em>of an arc is given by;
L =
-----------------(i)
Where;
β = angle subtended by the arc at the center of the circle and measured in degrees
r = radius of the circle
From the question;
β = ∠CAB
r = 4 units
L =
<em>Substitute these values into equation (i) as follows;</em>
= 
=>
= 
<em>Cancel 8</em>
<em> on both sides</em>
= 
<em>Cross multiply</em>
3 x β = 360 x 1
3β = 360
<em>Divide both sides by 3</em>
<em />
<em />
β = 120°
Therefore, the measure of ∠CAB is 120°
Answer:
y = -63
Step-by-step explanation:
y - 15 = -78
Add 15 on both sides to get y alone:
y - 15 + 15 = -78 + 15
y = -63
3:5 because if there's a 2:5 chance of grabbing a red card then just subtract 2 from 5 and you get 3:5