All categories

3 years ago

You need to install a bracket for a ceiling tile. You place the foot of a ladder 6 feet

Mathematics

1 answer:

vesna_86 [32]3 years ago

5 0

Answer:

14ft ???

Step-by-step explanation:

You might be interested in

Suppose you are ordering a calzone from D.P. Dough. You want 4 distinct toppings, chosen from their list of 8 vegetarian topping

Diano4ka-milaya [45]

Answer:

1680

Step-by-step explanation:

Number of distinct Toppings wanted = 4

Total number of vegetarian topping = 8

To choose 4 distinct toppings from a total of 8

Using permutation :

nPr : n! (n - r)!

8P4 = 8! / 4!

8P4 = (8*7*6*5)

8P4 = 1680

6 0

4 years ago

If Vector u=(5,-7) and v=(-11,3), 2v-6u=_____ and ||2v-6u||≈_____

Sauron [17]

<h2>Answer:</h2>

$2\vec{v}-6\vec{u}=(-52,48) \\ \\ ||2\vec{v}-6\vec{u}||=75.28}$

<h2>Step-by-step explanation:</h2>

In this problem we have two vectors:

$\vec{u}=(5,-7) \ and \ \vec{v}=(-11,3)$

So we need to find two things:

$2\vec{v}-6\vec{u}$

and:

$||2\vec{v}-6\vec{u}||$

FIRST:

In this case we have the multiplication of vectors by scalars. A scalar is a simple number, so:

$2\vec{v}-6\vec{u} \\ \\ Replace \ \vec{v} \ and \ \vec{u} \ by \ the \ given \ vectors: \\ \\ 2(-11,3)-6(5,-7) \\ \\ Multiply \ each \ component \ by \ the \ corresponding \ scalar:\\ \\ (2\times (-11),2\times 3)+(-6\times 5,-6\times (-7)) \\ \\ (-22,6)+(-30,42) \\ \\ Sum \ of \ vectors: \\ \\ (-22-30,6+42) \\ \\ \therefore \boxed{(-52,48)}$

SECOND:

If we name:

$\vec{w}=2\vec{v}-6\vec{u}$

Then, $||2\vec{v}-6\vec{u}||$ is the magnitude of the vector $\vec{w}$ . Therefore:

$||\vec{w}||=||2\vec{v}-6\vec{u}|| \\ \\ ||\vec{w}||=||(-52,48)|| \\ \\ ||\vec{w}||=\sqrt{(-58)^2+48^2} \\ \\ ||\vec{w}||=\sqrt{3364+2304} \\ \\ ||\vec{w}||=\sqrt{5668} \\ \\ \boxed{||\vec{w}||=75.28}$

5 0

3 years ago

Read 2 more answers

Lisa can paint a wall in four hours. Sissi needs eight hours to paint the wall. How long will it take if they are helped?

never [62]

Answer:

It will take very less time actually. we cannot say accurately because if two girls start to chat they will till next day

4 0

3 years ago

Can someone help me ???

Sphinxa [80]

Rational numbers are whole integers w no fractions. bc the square root of 72 is not a whole number, it is irrational

4 0

3 years ago

Nathan had an infection, and his doctor wanted him to take penicillin. Because Nathan’s father and paternal grandfather were all

Fittoniya [83]

Let events
A=Nathan has allergy
~A=Nathan does not have allergy
T=Nathan tests positive
~T=Nathan does not test positive

We are given
P(A)=0.75 [ probability that Nathan is allergic ]
P(T|A)=0.98 [probability of testing positive given Nathan is allergic to Penicillin]

We want to calculate probability that Nathan is allergic AND tests positive
P(T n A)

From definition of conditional probability,
P(T|A)=P(T n A)/P(A)
substitute known values,
0.98 = P(T n A) / 0.75
solving for P(T n A)
P(T n A) = 0.75*0.98 = 0.735

3 0

3 years ago