Mathematics : asked on jazzy200076

14.03.2023

Right triangle DEF is shown below
what is the nearest tenth of a meter

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Mathematics

Right triangle DEF is shown below. F E 23° 27.3 meters D What is DF to the nearest tenth of a meter? Select one: 29.7 11.6 10.7 25.1

Step-by-step answer

P Answered by PhD

Options:
A.) 29.7
B.) 11.6
C.) 25.1
D.) 10.7

Answer:
C.) 25.1

Explanation:
in the picture
Options:
A.) 29.7
B.) 11.6
C.) 25.1
D.) 10.7

Answer:
C.) 25.1

Explanation:
in the pict

Options:
A.) 29.7
B.) 11.6
C.) 25.1
D.) 10.7

Answer:
C.) 25.1

Explanation:
in the pict

Mathematics

The height, h, in meters above the ground, of a projectile at any time, t, in seconds, after the launch is defined by the function h(t) = −6t2 + 15t + 2. the graph is shown below. when rounded to the nearest tenth, what is the maximum height reached by the projectile, how long did it take to reach its maximum height, and from what height was the projectile initially launched?

Step-by-step answer

P Answered by PhD

2

The equation h(t) =-6t^2 + 15t + 2

h(t) =-6t^2 + 15t + 2

sets the parabola. You can find the parabola vertex as:

$t_v= \frac{-b}{2a} =- \frac{15}{2\cdot (-6)} = \frac{15}{12}= \frac{5}{4}=1.25$

then

$h( \frac{5}{4} )=-6\cdot (\frac{5}{4} )^2+15\cdot \frac{5}{4} +2= \frac{91}{8} =11.375$

This means that the maximum height is 11.375 m and a projectilereaches this height at 1.25 seconds.

The projectile initially launched at time t=0, so the initial height is h(0)=2 m

Mathematics

The height, h, in meters above the ground, of a projectile at any time, t, in seconds, after the launch is defined by the function h(t) = −6t2 + 15t + 2. the graph is shown below. when rounded to the nearest tenth, what is the maximum height reached by the projectile, how long did it take to reach its maximum height, and from what height was the projectile initially launched?

Step-by-step answer

P Answered by PhD

2

The equation h(t) =-6t^2 + 15t + 2

h(t) =-6t^2 + 15t + 2

sets the parabola. You can find the parabola vertex as:

$t_v= \frac{-b}{2a} =- \frac{15}{2\cdot (-6)} = \frac{15}{12}= \frac{5}{4}=1.25$

then

$h( \frac{5}{4} )=-6\cdot (\frac{5}{4} )^2+15\cdot \frac{5}{4} +2= \frac{91}{8} =11.375$

This means that the maximum height is 11.375 m and a projectilereaches this height at 1.25 seconds.

The projectile initially launched at time t=0, so the initial height is h(0)=2 m

Mathematics

Neil places £2000 in a bank account that pays 1.5% simple interest per year. How much interest will he earn in 6 years?

Step-by-step answer

P Answered by PhD

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

Mathematics

The last time Robert filled up his car with gas, he paid $24.50 for 7 gallons. This time, he needs 15 gallons. If the price is the same, how much will he pay?

Step-by-step answer

P Answered by PhD

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

Mathematics

An ice cream shop offers 5 different flavors of ice cream and 9 different toppings. How many choices are possible for a single serving of ice cream with one topping?

Step-by-step answer

P Answered by PhD

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45

Mathematics

In a parking lot, for every 8 cars there are 7 trucks. What is the ratio of cars to trucks? A)7 : 8 B)8 : 7 C)8 : 15 D)15 : 8

Step-by-step answer

P Answered by PhD

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

Mathematics

If a european swallow flies 15 meters every 1 second how many would kilometers would it fly in 15 minutes

Step-by-step answer

P Answered by PhD

Speed=Distance/time

Here,

distance=15m

time=1sec

speed=15/1=15m/sec

Distance=Speed*time

time=15min=15*60sec=900sec

Distance travelled in 15 min=15*900=13,500m

=13500/1000 km=13.5Km

Mathematics

David is building wooden picture frames. Each frame requires 3/4 feet of wood. If David started with 12 feet of wood and now has 6 feet of wood remaining, how many pictures frames has he built?

Step-by-step answer

P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics

David is building wooden picture frames. Each frame requires 3/4 feet of wood. If David started with 12 feet of wood and now has 6 feet of wood remaining, how many pictures frames has he built?

Step-by-step answer

P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

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