Answer:
-9
Step-by-step explanation:
This is just -3 * 3
=-9
Part a) <span>How long does it take the jogger to run 1 mile uphill?
we know that
speed=distance/time
speed=5.5 miles/hour-----> r
distance=1 mile------> d
time=?-----> t
d=r*t------> t=d/r
t=1 mile/5.5 mile/hour-------> t=0.182 hour----> t=2/11 hour
the answer Part a) is
0.182 hour
Part b)</span><span>How long does it take the jogger to run 1 mile downhill?
</span>we know that
speed=distance/time
speed=6.5 miles/hour-----> r
distance=1 mile------> d
time=?-----> t
d=r*t------> t=d/r
t=1 mile/6.5 mile/hour-------> t=0.154 hour-----> t=2/13 hour
the answer Part b) is
0.154 hour
Part c) <span>Use your answers to a and b to determine how long, in hours, the full trip will take (1 mile uphill and 1 mile downhill). Give an exact answer expressed as a fraction in simplest terms and then give a decimal approximation correct to three decimal places
total time=0.182+0.154------> 0.336 hour
and
(2/11)+(2/13)----> (2*13+2*11)/(11*13)-----> (26+22)/(143)-----> 48/143 hour</span>
Yes, it is.
<span>Rational numbers are in the form p/q where p and q are both real numbers, and q does not equal to 0.</span>
Answer:
Step-by-step explanation:
Consider triangles AMP and ADC. In these triangles,
- angle A is the common angle, so by reflexive property;
- angles AMP and ADC are congruent as corresponding angles when two parallel lines MP and CD are cut by transversal AD.
Hence, triangles AMP and ADC are similar by AA similarity theorem.
Similar triangles have proportional corresponding sides, thus
so
Consider triangles ACB and PCN. In these triangles,
- angle C is the common angle, so by reflexive property;
- angles ABC and PCN are congruent as corresponding angles when two parallel lines PN and AB are cut by transversal BC.
Hence, triangles ACB and PCN are similar by AA similarity theorem.
Similar triangles have proportional corresponding sides, thus
so
Answer:
Your bakery is 450 square feet
Step-by-step explanation:
If our bakery is 1/10 of a 4,500 square feet shopping plaza then it is also 10% of that shopping plaza since one-tenth of an object is the same as ten percent of that object.
To find a percentage of a number, we can simply multiply that percentage in decimal form by the number!
Here's what it looks like:
.10 * 4,500 = 450
This is also the same as dividing 4500 by 10!