Answer:
Yes
Step-by-step explanation:
First, look for the hypotenuse (diagonal) of the base of the box. We have the two legs: 13 inches and 35 inches.
Set up an equation using the Pythagorean theorem:
Solve for C:
169 + 1225 = C^2
1394 = C^2
C ≈ 37.34
Now that we have the diagonal of the base, we know can move on to find the value of the interior diagonal. We have two legs: 13 inches and 37.34 inches.
Again, set up an equation using the Pythagorean theorem, and solve for the new C:
1563.2756 = C^2
C = 39.54
The interior diagonal of the box is approximately 39.54 inches long, which is longer than Kylie's baton, which is 38 inches long. So, she can fit the baton in the box.
Have a nice day! :)
Answer:
See explanation below.
Step-by-step explanation:
Note that in △RST and △UVW
- m∠T=180°-m∠R-m∠S;
- m∠W=180°-m∠U-m∠V.
Since ∠R≅∠U and ∠S≅∠V, then ∠T≅∠W.
In ΔRST and ΔUVW:
- ∠S≅∠V (given);
- ∠T≅∠W (proved);
- ST≅VW (given).
ASA theorem that states that if two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.
By ASA theorem ΔRST≅ΔUVW.
Answer:
The required amount of interest is $5538.
Step-by-step explanation:
Given : $1,500 invested for 20 days at 6.75%, compounded daily.
To find : The amount of interest ?
Solution :
Applying compound interest formula,
Where, A is the amount
P is the principal P=$1500
r is the interest rate r=6.75%=0.0675 compounded daily
t is the time t=20 days
Substitute the value in the formula,
Therefore, The required amount of interest is $5538.
Answer: D. (-b,0)
applying coordinate geometry practice
the whole quiz >
1. b.
2. a.
3. c.
4. d.
5. c.
6. c.
7. a.
8. d.
9. d.
10. b.
