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1 year ago

13

A 17- foot ladder is placed against a vertical wall of a building with the bottom of the ladder standing on level ground 11 feet

from the base of the building. How high up the wall does the ladder reach

1 answer:

Hunter-Best [27]1 year ago

7 0

Answer:

y= $\sqrt{168}$ or about 12.96 ft

Step-by-step explanation:

11^2+y^2=17^2

y^2=168

y= $\sqrt{168}$ or about 12.96 ft

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Kathy is a repair technician for a phone company. each week, she receives a batch of phones that need repairs. the number of pho

SCORPION-xisa [38]

We have equation:
$p=108-23d$

p = number of phones left to repair
108 = initial amount at the start of week
23 = number of phones repaired each day
d = number of days she worked that week

6 0

2 years ago

$750 loan 7% a year three years of no payments how much interest are you paying?

Anastaziya [24]

Answer:

$157.50

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 7%/100 = 0.07 per year,

then, solving our equation

I = 750 × 0.07 × 3 = 157.5

I = $ 157.50

The simple interest accumulated

on a principal of $ 750.00

at a rate of 7% per year

for 3 years is $ 157.50.

5 0

2 years ago

Write the equation of a quadratic function who has the vertex of (4,-7)

timama [110]

Given:

The vertex of a quadratic function is (4,-7).

To find:

The equation of the quadratic function.

Solution:

The vertex form of a quadratic function is:

$y=a(x-h)^2+k$ ...(i)

Where a is a constant and (h,k) is vertex.

The vertex is at point (4,-7).

Putting h=4 and k=-7 in (i), we get

$y=a(x-4)^2+(-7)$

$y=a(x-4)^2-7$

The required equation of the quadratic function is $y=a(x-4)^2-7$ where, a is a constant.

Putting a=1, we get

$y=(1)(x-4)^2-7$

$y=(x^2-8x+16)-7$ $[\because (a-b)^2=a^2-2ab+b^2]$

$y=x^2-8x+9$

Therefore, the required quadratic function is $y=x^2-8x+9$ .

6 0

2 years ago

Ajay bought a fan and a heater for rs 4000. He sold the fan at a profit of a 25% and the heater at a loss of 5%. If he gained 7%

Alborosie

Answer: Heater -Rs 2400; Fan- Rs 1600

Step-by-step explanation:

Given

Ajay bought a fan and a heater for Rs 4000

Suppose the price of fan is x and that of heater is 4000-x

Profit on the fan is $0.25x$

Loss on heater is $0.05\times (4000-x)$

Total profit is 7% i.e. $0.07\times 4000$

$\therefore 0.07\times 4000=0.25x-0.05(4000-x)\\\Rightarrow 280=0.25x-200+0.05x\\\Rightarrow 480=0.3x\\\Rightarrow x=1600$

Thus, the price of heater is $4000-1600=Rs.\ 2400$

Price of fan is $Rs.\ 1600$

Price of heater is $Rs.\ 2400$

8 0

2 years ago

Terry weighs 40kg janice weighs 2 3/4 lg less than terry. what is their combined weight?

Liula [17]

I hope this helps you

Janice 2 3/4= 2.4+3/4=11/4

40.11/4-40=110-40=70kg janice

Terry 40 kg

40+70=110

7 0

3 years ago