Answer:
$696.70
Step-by-step explanation:
The formula for the area of a circle is given as πr²
From the above question
π = 3.14
Diameter = 5 feet
Radius = Diameter/2 = 5 feet/2 = 2.5 feet
Hence,
The area of the circular table = 3.14 × 2.5²
= 19.625 ft² or 19.625 square foot
We are told that:
The wood costs $35.50 per square foot
Hence,
1 ft² = $35.50
19.625 ft² = x
Cross Multiply
x = 19.625 ft² × 35.50
x = $696.6875
Approximately = $696.70
Therefore, it will cost Rafael $696.70 to make the table.
Answer:
Step-by-step explanation:
I will give you the answer in the following steps. In addition to solving this exercise it is necessary the table found in the attachments -And that was probably in the book where this exercise is taken-.
Here we have:
Percentage Method of Withholding –Single Person
Each Weekly Allowance = $63.46
Step 1:
= ∙
=3*$63.46
= $190.38
Step 2:
=−
=$560.00- $190.38
=369.62 US$
Step 3: (Here we refer to the table, as the income is less than $ 645, and more than $ 195, the tax is 14.40 plus 15% for being the income above $ 195)
ℎℎ=$14.40+[15%*($369.62−195)]
ℎℎ= $40.59
<span>1) We are given that PA = PB, so PA ≅ PB by the definition of the radius.
</span>When you draw a perpendicular to a segment AB, you take the compass, point it at A and draw an arc of size AB, then you do the same pointing the compass on B. Point P will be one of the intersections of those two arcs. Therefore PA and PB correspond to the radii of the arcs, which were taken both equal to AB, therefore they are congruent.
2) We know that angles PCA and PCB are right angles by the definition of perpendicular.
Perpendicularity is the relation between two lines that meet at a right angle. Since we know that PC is perpendicular to AB by construction, ∠PCA and ∠PCB are right angles.
3) PC ≅ PC by the reflexive property congruence.
The reflexive property congruence states that any shape is congruent to itself.
4) So, triangle ACP is congruent to triangle BCP by HL, and AC ≅ BC by CPCTC (corresponding parts of congruent triangles are congruent).
CPCTC states that if two triangles are congruent, then all of the corresponding sides and angles are congruent. Since ΔACP ≡ ΔBCP, then the corresponding sides AC and BC are congruent.
5) Since PC is perpendicular to and bisects AB, P is on the perpendicular bisector of AB by the definition of the perpendicular bisector.
<span>The perpendicular bisector of a segment is a line that cuts the segment into two equal parts (bisector) and that forms with the segment a right angle (perpendicular). Any point on the perpendicular bisector has the same distance from the segment's extremities. PC has exactly the characteristics of a perpendicular bisector of AB. </span>
Answer:
x = 0
Step-by-step explanation:
Answer:
the first one.
Step-by-step explanation:
