Find a . b if a = 3i + 8j and b= -0.5i - 4j.

Answer:

56.52 cm²

Step-by-step explanation:

Equation = ½ pi r²

So...

= ½ pi r²

= ½×3.14×6×6 (Replace 3.14 in Pi and replace 6×6 in r²)

= 1.57×36

= 56.52 cm²

Pls mark me Brainliest. I need it.

Answer:

2.67857142855

Step-by-step explanation:

every M of cloth costs 0.17857142857rs (10/65=0.17857142857)

So, 15m of cloth costs 2.67857142855rs (0.17857142857*15= 2.67857142855)

Answer:2.7rs

Step-by-step explanation:

First find the cost of one m:

We can set it up as a fraction in the form of cloth (mm)/cost(rs)

=
56m/10rs

let x be the cost in rs of 1m:

1m/x

This is kind of like a ratio where 56/56=1 so therefore 10/56 (because whatever you do to the top you do to the bottom) will give us x or in other words the cost of 1 meter of cloth:

so after dividing both 56 and 10 by 56 we get:

1/0.18 (it would be a longer decimal but always try to round it if you can!)

That mean 1m of cloth costs 0.18 rs

So now let’s apply the same rule as before (treating the fraction as a ratio and doing the same on both top and bottom and let’s apply it again to find the cost of 15 meters!)

1m * 15

————-

0.18 * 15

=

15m

———-

2.7rs

therefore the cost of 15 m is 2.7rs

confirm with your teacher wether they want you to round it or not however.

Hope this helps!

:D

Answer:

what do u mean

Step-by-step explanation:

Answer:

y = 3 + the square root of 2.

Step-by-step explanation:

message me if you have any other math questions

Answer:

120

Step-by-step explanation:

Answer:

88

Step-by-step explanation:

201+201+104+104

=610

610-577

=88

Answer:

(-3,-3) and (0,6)

Step-by-step explanation:

The Solutions are the Points of Intersect

which are (-3,-3) and (0,6)

Answer: (2, 4)

Step-by-step explanation:

This is the point where the graphs intersect.

Answer:

in explanation

Step-by-step explanation:

as the question told you, if there're 5 counselors, there's a maximum for students of 15. and for 15 counselors, there's a maximum for students of 45. we can easily see that every one counselor can only have 3 students. therefore, you should draw each dot with respect to the counselors' amount, but because two points determine one line, all you need to do is draw (5,15), (15,45) and line them from 0 to 50.

Answer:

Exponent rules

[tex]\textsf{product rule: }a^b \times a^c=a^{(b+c)}[/tex]

[tex]\textsf{quotient rule: }a^b \div a^c=a^{(b-c)}[/tex]

[tex]\textsf{power rule: }(a^b)^c=a^{(b \times c)}[/tex]

a) Use product rule:

[tex]3^2 \times 3^x=3^{(2+x)}[/tex]

[tex]\implies 3^{(2+x)}=3^7[/tex]

[tex]\implies 2+x=7[/tex]

[tex]\implies x = 5[/tex]

b) Use quotient rule:

[tex]7^8 \div 7^y=7^{(8-y)}[/tex]

[tex]\implies 7^{(8-y)}=7^6[/tex]

[tex]\implies 8-y=6[/tex]

[tex]\implies y=2[/tex]

c)  Use power rule:

[tex](q^4)^z=q^{(4z)}[/tex]

[tex]\implies q^{(4z)}=q^{12}[/tex]

[tex]\implies 4z=12[/tex]

[tex]\implies z=3[/tex]

[tex]\small\bold{(x – 4)(x + 5) }[/tex]

[tex]\small\bold{ → x(x + 5) -4(x + 5) }[/tex]

[tex]\small\bold{→ x2 + 5x – 4x – 20 }[/tex]

[tex]\small\bold{ → x2 + x - 20 }[/tex]

Option (d) x2 + x - 20 is correct

» Multiply: (x – 4)(x + 5)

— — — — — — — — — —

So,

[tex] \to \: \tt x {}^{2} + 5x - 4x - 20 \\ \tt \: = \underline{ \boxed{ \purple{ \tt{ {x}^{2} + x - 20 }}}}[/tex]

Hence, choice D is correct.

_______________❦︎_______________

Answer:

Step-by-step explanation:

The center of a circle is the midpoint of any diameter. The midpoint of a segment has coordinates that are the average of the coordinates of the segment end points.

The length of the radius is the distance from the center to an end point of a diameter. Alternatively, it is half the length of the diameter.

__

Center = (A +B)/2 = ((7, -5) +(-1, 10))/2 = (6, 5)/2 = (3, 2.5)

Radius = 1/2|AB| = 1/2√((7 -(-1))² +(-5 -10)²) = 1/2√(64 +225) = 1/2√289

= 17/2 = 8.5

The center of the circle is (3, 2.5), and the radius is 8.5 units.

__

Additional comment

The differences of diameter end point coordinates are 8 and 15, suggesting the Pythagorean triple {8, 15, 17} will come into play. It does.

Answer:

Area ≈ 1256 [tex]in^{2}[/tex]

Step-by-step explanation:

The formula to find the area of a circle is [tex]\pi r^{2}[/tex]

the diameter of this circle is 40 inches. The radius is half of that, 20 inches.

[tex]\pi 20^{2}[/tex] = [tex]400 \pi[/tex]

[tex]400\pi[/tex] ≈ 1256

Area ≈ 1256 [tex]in^{2}[/tex]

Answer:

9300

Step-by-step explanation:

The selection of the committee members is an illustration of combination

There are 150150 different ways of selecting the committee

The number of members (n) is:

n = 15

The members on the committee are (r):

r = 4

So, the number of selection is:

[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]

This gives

[tex]^{15}C_4 = \frac{15!}{(15 - 4)!4!}[/tex]

Evaluate the differences

[tex]^{15}C_4 = \frac{15!}{9!4!}[/tex]

Expand

[tex]^{15}C_4 = \frac{15* 14 * 13 * 12 * 11 * 10 * 9!}{9!4!}[/tex]

This gives

[tex]^{15}C_4 = \frac{15* 14 * 13 * 12 * 11 * 10}{4!}[/tex]

[tex]^{15}C_4 = 150150[/tex]

Hence, there are 150150 different ways of selecting the committee

Read more about combination at:

https://brainly.com/question/12468032

Answer:

D)  y = -2x - 6

Step-by-step explanation:

Given:

[tex]\mathsf{slope=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{0--12}{-3-3}=-2}[/tex]

Using the point-slope form of a linear equation: [tex]\mathsf{y-y_1=m(x-x_1)}[/tex]

[tex]\implies \mathsf{y-(-12)=-2(x-3)}[/tex]

[tex]\implies \mathsf{y=-2x-6}[/tex]

Answer:

G=50x+350

Step-by-step explanation:

Answer:

the company made 1900 products

Step-by-step explanation:

add the expenses and profit together to get 30381 and divide it by 15.99 since each item sells for 15.99 and you get 1900 products sold

Answer:

198 sq cm

Step-by-step explanation:

[tex]A(trapezoid) = \frac{1}{ \cancel 2} (21 + 12) \times \cancel{12} \\ \\ =33 \times 6 \\ \\ = 198 \: {cm}^{2} [/tex]

Answer: 198

Step-by-step explanation:

add the bases together which is 12 + 21 = 33 and the heigh is 12 which mean u multiply the base andheight and its 198 because the answer that is not divided has to be divided by 2

Answer:

273

Step-by-step explanation:

Answer:

2 ft³

Step-by-step explanation:

Volume of a box = length × width × height

Length = 1 ft

width = 1 ft

height = 2 ft

Volume = 1 × 1 × 2 = 2 ft³

Answer:

correct answer is : To determine to measure of the unknown angle, be sure to use the total sum of 180°. If two angles are given, add them together and then subtract from 180°. If two angles are the same and unknown, subtract the known angle from 180° and then divide by 2.

Answer:

Step-by-step explanation:

the first one is 2

Answer:

-3,-6

Step-by-step explanation:

(x+x)/2,(y+y)/2=midpoint

(-4+-2)/2,(-2+-10)/2=(-3,-6)

Answer=(-3,-6)

Answer: negative 3 comma and negative 6

Step-by-step explanation:

Answer: The first card is a diamond and the second card is a heart. Both cards are hearts. Let H denote the event that a heart is drawn; let D denote the event that a diamond is drawn. The first card is a diamond and the second card is a heart: The probability of drawing a diamond on the first draw

Step-by-step explanation: