Answer:
Janet has coins worth 252.5, 101, and 50.5.
Step-by-step explanation:
Let us call the three coins 
, and 
.
The first coin 
is 5 times another coin<em> (let's say </em>
); therefore,
,
and the third coin is 2 times the value of another coin<em> (it's coin </em><em>):</em>
<em />
<em>.</em>
The total worth of all coins is 404; therefore,
or
with the value of in hand, we find and :
and for 
Thus, Janet has 3 coins worth 252.5, 101, and 50.5.
Volume of the cone is 17 cm³
Step-by-step explanation:
- Step 1: Volume of a cone = 1/3 πr²h. Find volume of the cone where r = 2 inches and h = 4 cm.
Volume = 1/3 × 3.14 × 2² × 4
= 16.75 cm³ ≈ 17 cm³ (rounding off to nearest whole number)
Answer:
The measure of angle ABT is 28°
Step-by-step explanation:
* Lets revise the bisector of a angle
- If a ray bisects and angle that mean the ray divide the angle into
two equal parts in measure
- Ex: if the ray BD bisects angle ABC, then the measure of angle ABD is
equal to the measure of angle CBD
* Lets solve the problem
∵ BT bisects ∠ABC
∴ m∠ABT = m∠CBT
∵ m∠ABT = 4x - 16
∵ m∠CBT = 2x + 6
- Equate the two values
∴ 4x - 16 = 2x + 6
- Lets solve the equation by subtracting 2x from both sides and
adding 16 to both sides
∴ 4x - 2x = 6 + 16
∴ 2x = 22 ⇒ divide both sides by 2
∴ x = 11
- Lets find the measure of angle ABT
∵ m∠ABT = 4x - 16
- Substitute x by 11
∴ m∠ABT = 4(11) - 16 = 44 - 16 = 28°
* The measure of angle ABT is 28°
Answer:
18x^4+288x^3+1
Step-by-step explanation:
HOPE THIS HELPS<3
