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2 years ago

Which figure is a rotation of figure E Figure F Figure G Figure H

Mathematics

1 answer:

Masteriza [31]2 years ago

5 0

Answer:

Below.

Step-by-step explanation:

SO basically. E is our main "Subject:

so let's break this down we know it's not h because it's the same thing. You never specified the angle it's rotated by but it is f.

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What multiplies to negative 90 and adds to negative 5

Schach [20]

Dont mind the sign until fourth step

First step: find divisibles of 90
1,2,3,5,6,9,10,15,18,30,45,90

Second step:find the pairs
1*90,2*45,3*30,5*18,6*15,9*10

Third step: find which one has a difference of 5
None of them is (expand this question more so i can help you)

5 0

3 years ago

What is the volume of a cylinder with a radius of 5 centimeters and height of 2.5 centimeters?

IRISSAK [1]

Answer:

Step-by-step explanation:

The formula for volume of a cylinder is

V = πr²h where r is the radius and h is the height.

We are given r = 5 and h = 2.5, plug those values in and simplify...

V = π(5²)(2.5)

V = π(25)(2.5)

V = 62.5π

7 0

3 years ago

There are 26.2 miles in a marathon.write the number of miles using fraction

Alja [10]

You can write it in two types of fractions:
1) ur answer will be 26 and 2/10 which can be simplified to 26 and 1/5
2) ur answer will be 262/10 which can be simplified to 131/5
The first is the more recommended way of writing your answers.

3 0

3 years ago

There is a single sequence of integers $a_2$, $a_3$, $a_4$, $a_5$, $a_6$, $a_7$ such that \[\frac{5}{7} = \frac{a_2}{2!} + \frac

Nataliya [291]

You have a single sequence of integers $a_2,\ a_3,\ a_4,\ a_5,\ a_6,\ a_7$ such that

$\dfrac{a_2}{2!} + \dfrac{a_3}{3!} + \dfrac{a_4}{4!} + \dfrac{a_5}{5!} + \dfrac{a_6}{6!} + \dfrac{a_7}{7!}=\dfrac{5}{7},$

where $0 \le a_i < i$ for $i = 2, 3, \dots, 7.$

1. Multiply by 7! to get

$\dfrac{7!a_2}{2!} + \dfrac{7!a_3}{3!} + \dfrac{7!a_4}{4!} + \dfrac{7!a_5}{5!} + \dfrac{7!a_6}{6!} + \dfrac{7!a_7}{7!}=\dfrac{7!\cdot 5}{7},\\ \\7\cdot 6\cdot 5\cdot 4\cdot 3\cdoa a_2+7\cdot 6\cdot 5\cdot 4\cdot a_3+7\cdot 6\cdot 5\cdot a_4+7\cdot 6\cdot a_5+7\cdot a_6+a_7=6!\cdot 5,\\ \\7(6\cdot 5\cdot 4\cdot 3\cdoa a_2+6\cdot 5\cdot 4\cdot a_3+6\cdot 5\cdot a_4+6\cdot a_5+a_6)+a_7=3600.$

By Wilson's theorem,

$a_7+7\cdot (6\cdot 5\cdot 4\cdot 3\cdoa a_2+6\cdot 5\cdot 4\cdot a_3+6\cdot 5\cdot a_4+6\cdot a_5+a_6)\equiv 2(\mod 7)\Rightarrow a_7=2.$

2. Then write $a_7$ to the left and divide through by 7 to obtain

$6\cdot 5\cdot 4\cdot 3\cdoa a_2+6\cdot 5\cdot 4\cdot a_3+6\cdot 5\cdot a_4+6\cdot a_5+a_6=\dfrac{3600-2}{7}=514.$

Repeat this procedure by $\mod 6:$

$a_6+6(5\cdot 4\cdot 3\cdoa a_2+ 5\cdot 4\cdot a_3+5\cdot a_4+a_5)\equiv 4(\mod 6)\Rightarrow a_6=4.$

And so on:

$5\cdot 4\cdot 3\cdoa a_2+ 5\cdot 4\cdot a_3+5\cdot a_4+a_5=\dfrac{514-4}{6}=85,\\ \\a_5+5(4\cdot 3\cdoa a_2+ 4\cdot a_3+a_4)\equiv 0(\mod 5)\Rightarrow a_5=0,\\ \\4\cdot 3\cdoa a_2+ 4\cdot a_3+a_4=\dfrac{85-0}{5}=17,\\ \\a_4+4(3\cdoa a_2+ a_3)\equiv 1(\mod 4)\Rightarrow a_4=1,\\ \\3\cdoa a_2+ a_3=\dfrac{17-1}{4}=4,\\ \\a_3+3\cdot a_2\equiv 1(\mod 3)\Rightarrow a_3=1,\\ \\a_2=\dfrac{4-1}{3}=1.$

Answer: $a_2=1,\ a_3=1,\ a_4=1,\ a_5=0,\ a_6=4,\ a_7=2.$

5 0

3 years ago

Write the equation of the line in fully simplified slope intercept form.

bearhunter [10]

Answer:

See below

Step-by-step explanation:

By observation, the line tilts down to the left....negative slope

pick two convenient points, say 0,7 and 2,6

slope = rise/run rise = -1 run = 2

= -1/2

y-axis intercept is 7

y = -1/2 x + 7 That's it .....

8 0

1 year ago