Answer:
13 cars per hour
Step-by-step explanation:
She can vacuum 104 cars in 8 hours, so divide 104 by 8, 104/8, to get 13. So she can vacuum 13 cars in 1 hour.
This is a 45-90-45 triangle so in order to find the answer we have to multiply the hypotenuse, 6, by the square root of 2 or radical 2. Then multiply top and bottom by radical 2. Then simplify.
9514 1404 393
Answer:
(2x -1) by (x +5)
Step-by-step explanation:
We presume that the dimensions of the parking lot correspond to factors of the polynomial. The factorization is ...
2x^2 +9x -5
= 2x^2 +10x -x -5
= 2x(x +5) -1(x +5)
= (2x -1)(x +5)
Possible dimensions of the parking lot are (2x-1) and (x+5).
Answer:
If Lauren spend 2/3 of her 24-hour computer time doing homework, this means she spent 16 hours doing homework. Each third of the 24 hours is 8 hours, so two thirds would be 16 hours.
Answer:
Kite is a quadrilateral in which two disjoint pairs of consecutive sides are congruent
Given: In kite PQRS
where PR and SQ are the diagonals of Kite respectively as shown in the figure given below.
Given: TQ = 3 cm and TP = 4 cm
Let PR is the main diagonal and SQ is the cross diagonal of kite PQRS as shown in figure, also let T is the intersection point of PQRS.
By Property of Kite, diagonal SQ bisects PR at perpendicular angle i.e, 90 degree.
i,e
Then, in right angle ΔQTP
[Using Pythagoras theorem]
Substitute the given values of TQ and TP we have;

Also, PQ = SP [by definition of kite]
therefore, the side SP = 5 cm.