The area of a triangle is 30 square inches.
The base of the triangle is x - 6 inches,
and the height is x + 5 inches.
Find the value of x, and the dimensions of the triangle.
A = 1/2bh

x=
base=
height=

Explanation:

(i)Total number of copies are at Pradnya = 5 dozen

We know that 1 dozen = 12

⇛5×12 = 60

Given copies to Anushka = half of 60

⇛60/2 = 30 copies

Given copies to Prajwala = 1/5 the copies

⇛ (1/5)×60

⇛60/5

⇛12 copies

Total number of given copies = 30+12 = 42

Remaining copies = 60-42 = 18

Answer: Remaining copies = 18

(ii)Let the number of Rs. 10 notes be X

So given that

all are equal in number

So, Number of Rs 20 notes = Number of Rs. 50 notes = Number of Rs. 100 = X

Total number of notes

= X+X+X+X = 4X

Value of Rs. 10 = 10X

Value of Rs. 20 = 20X

Value of Rs. 50 = 50X

Value of Rs. 100 = 100X

Total amount = Rs. 900

⇛10X +20X +50X+100X = 900

⇛180X = 900

⇛X = 900/180

⇛X = 5

Number of Rs. 10 notes = Number of Rs. 20 notes = Answer: number of Rs. 50 notes = Number of Rs. 100 = 5

(iii) Let the number of rows be X

Number of saplings per each row = 47

Total number of saplings of X rows = 47X

According to the given problem,

Total number of saplings purchased by Mangalakaku = 6016

⇛47X = 6016

⇛X = 6016/47

⇛X = 128

Answer: Total number of rows = 128

Answer:

That is an improper fraction

Step-by-step explanation:

When the numerator (the top) is greater than the denominator (The bottom) then the fraction is improper

Hope this helps!

Answer:

Improper fraction

Step-by-step explanation:

Answer:

There are 35 boys in the class.

Step-by-step explanation:

Girls to Boys ratio = 3:7

Total number of students in class = 50

Let total number of girls be '3x' and total number of boys be '7x'

Total number of girls + Total number of boys = Total number of students

3x + 7x = 50

10x = 50

x = 50/10

x = 5

[tex] \therefore [/tex]

Total number of girls = 3 × 5 = 15

Total number of boys = 7 × 5 = 35

Answer:

5.4 as a fraction is 27/5.

Step-by-step explanation:

Learned in 5th grade

Answer:

A. 12 x 3/4

Step-by-step explanation:

Answer:

12 x 3/4

Step-by-step explanation:

Every one week, there is 3/4 used, which is basic multiplication

My Science teacher is named Mrs. Doyle, lol

Answer:

-3

Step-by-step explanation:

I just need 20 characters to help out so yeah

Answer:

8 cm

Step-by-step explanation:

sum the parts of the ratio, 5 + 6 = 11 parts

Divide the length of ribbon by 11 to find the value of one part of the ratio

88 cm ÷ 11 = 8 cm ← value of 1 part of the ratio , then

5 parts = 5 × 8 cm = 40 cm

6 parts = 6 × 8 cm = 48 cm

Then difference between lengths is 48 cm - 40 cm = 8 cm

longer piece is 8 cm longer than shortest piece.

Answer:

  100.9 yards

Step-by-step explanation:

One circuit of the track is a distance of ...

  C = 2πr = 2π(60 yd) = 120π yd.

At Alex's running rate, the distance covered in 20 minutes is ...

  (4 yd/s)(20 min)(60 s/min) = 4800 yd

The number of circuits will be ...

  (4800 yd)/(120π yd/circuit) = 40/π circuits ≈ 12.7324 circuits

The last of Alex's laps is more than half-completed, so the shortest distance to his starting point is 13 -12.7324 = 0.2676 circuits,

That distance is (0.2676 circuits)×(120π yd/circuit) ≈ 100.88 yd

The shortest distance along the track to Alex's starting point is about 100.9 yards.

_____

Additional comment

The exact distance is 120(13π-40) yards. The distance will vary according to your approximation for pi. If you use 3.14, this is about 98.4 yards.

Answer:

360 is the answer

Step-by-step explanation:

hi

have a good day

hope it helps you

thank me later

carryonlearing

Answer:

Step-by-step explanation: 2\frac{u^2}{8}u^4=10\frac{u^3}{9}u

Answer:

Step-by-step explanation:

1. y = 2x

       y = 2*4 = 8  Checks, therefore

y = 20  for x = 10

2. y = 3x

       y = 3*(0.3) = 0.9  Checks, therefore:

y =  3*(1.5) = 4.5  

       y = 3*

3. y = 5/x

       y = 5/(1/2) = 10  Checks, therefore:

       3 = 5/x

x = 5/3

4 v = wu

7*3 = 21  Checks, therefore:

v =  (3/4)*(6) = (18/4) = (9/2)

v = (2/3)wu

v = (2/3)*7*3 = 14 Checks

5 m = Kn/p  [Add the K as a constant that will make m = Knp true at some value of K]

9 = K*2/(1/3)

27 = (K*2)

27 = 2K

K = (3/2)

       m = (3/2) (n/p)

       m = (3/2)*((1/2)/(1/3))

        m = (3/2)*(3/2)

        m = 1

Answer:

the angles are 89.2°, 34.5°, 56.3° and the sides are √26units, √8units, √18units respectively

Step-by-step explanation:

Distance between points (2,5) and (-1,2)

Using the formula, √(X2 - X1)² + (Y2 - Y1)²

= √(-1-2)²+(2-5)²

=√(-3)²+(-3)²

=√9+9

=√18 or 3√2

Distance between points (-1,2) and (4,3)

=√[4-(-1)]²+(3-2)²

= √5²+1²

=√25+1

=√26

Distance between points (2,5) and (4,3)

=√(4-2)²+(3-5)²

=√2²+(-2)²

=√4+4

=√8

Using Cosine rule/formula, C²= A²+B²-2abcosc

Let C be √18, A be √26 and B be √8

√18²=√26²+√8² - 2√26.√8cosc

18= 26+8 - 2√208cosc

18= 34 -2√208cosc

2√208cosc= 34-18

Cosc = 16/2√208

Cosc= 0.5546

c= Cos`¹(0.5547)

c= 56.3°

Using sine rule/formula

Sinc/C= Sina/A=Sinb/B

Sin56.3/√18= Sina/√26

Sina= (0.8320 × √26)/ √18

Sina= 0.9999

a= Sin`¹(0.9999)

a= 89.2

56.3+89.2+b= 180°( sum of angles in a triangle)

145.5 + b =180

b=180-145.5

b= 34.5

Answer:

  g(x) = 24(2^(x-1)) +16

Step-by-step explanation:

A function is stretched vertically by a factor of 'a' by multiplying by 'a'.

  g(x) = 4·f(x) = 4(6(2^(x-1) +4)

  g(x) = 24(2^(x-1)) +16

Answer:

see explanation

Step-by-step explanation:

The perimeter P is the sum of the 4 sides of the rectangle.

The opposite sides of the rectangle are congruent , then

P = 2x + 1 + 2x + 1 + x + x ← collect like terms

P = 6x + 2

Answer:

1270

Step-by-step explanation:

420+300+550

$420+300=720+550=1270

Answer:

39%, 0.42, 11/25

Step-by-step explanation:

First, let's convert the percentage and the fraction into decimals, to make out lives so much easier.

39% = 0.39

11/25 = 0.44

Now, we reorder.

0.39, 0.42, 0.44

Finally, we convert the percentage and the fraction back into their original forms, and adjust the order.

39%, 0.42, 11/25

-hope it helps

Answer:

[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

y = mx + b , "m" is slope and "b" is y-intercept

~~~~~~~~~~~~~

3x - 4y = 7

- 4y = - 3x + 7

y = [tex]\frac{3}{4}[/tex] x - [tex]\frac{7}{4}[/tex] ⇒ m = [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Start by multiplying both sides by cosα:

1 + sinα + (cos²α)/(1+sinα) = 2

sinα + (cos²α)/(1+sinα) = 1

Now multiply both sides by 1+sinα:

sinα + sin²α + cos²α = 1 + sinα

sin²α + cos²α = 1 Q.E.D.

Thats the answer and method i used

Answer:

7,3

Step-by-step explanation:

for every 5 it goes right it goes 4 up. 2,1+5,4=7,3

ans=3x+1

Step by step solution

=3(x+2)-5

=3x+6-5

=3x+1

Answer:

Hence y = (5k -3)/ (1 - k)

.... shown

Answer:

In no b 7 people has represented □

In no c 2 people referred giraffe than dogs

Answer:

(b)Total 8 complete square in given pictogram represented 64 people.

(c) 6 more people preferred giraffes than dogs.

Answer:

1/2

Step-by-step explanation:

12 / 24 = 1/2

Answer:

12/24

Step-by-step explanation:

use the stander rise over run since the rise is 12 it goes over the run which is 24

a) Point O

b) [tex]\overline{OB}[/tex]

c) [tex]\overline{AB}[/tex]

4) arc DE (m)

5) [tex]\overline{DE}[/tex]

6) Semicircle AEB

Answer:

$46.8

Step-by-step explanation:

Price for Super Sports:

$72.5*0.8=$58 (20% discount so price is 80% of original price)

$58+$58*0.065=$61.77 (6.5% sales tax added after discounted price)

$61.77*12=$741.24

Price for Double Dribble:

$54.75+$54.75*0.09=$59.6775≈$59.68 (9% processing fee added to cost; round to 2 decimal places)

$59.68+$5.99=$65.67 (shipping fee)

$65.67*12=$788.04

Difference in price:

$788.04-$741.24=$46.8

If you have questions please ask in the comments; also please give this answer brainliest if you found it useful!

Answers:

[tex]h = -\frac{b}{2a}\\\\k = \frac{-b^2+4ac}{4a}\\\\[/tex]

where 'a' cannot be zero.

=========================================================

Explanation:

The vertex is (h,k)

The x coordinate of the vertex is h which is found through this formula

[tex]x = -\frac{b}{2a}[/tex]

For example, if we had the quadratic [tex]y = 3x^2-6x+5[/tex], then we'll plug in a = 3 and b = -6 to get: [tex]h = -\frac{b}{2a} = -\frac{-6}{2*3} = 1[/tex]

------------

To find the value of k, we plug that h value into the original standard form of the quadratic and simplify.

[tex]y = ax^2+bx+c\\\\k = ah^2+bh+c\\\\k = a\left(\frac{-b}{2a}\right)^2+b\left(\frac{-b}{2a}\right)+c\\\\k = a*\frac{b^2}{4a^2}+\frac{-b^2}{2a}+c\\\\k = \frac{b^2}{4a}+\frac{-b^2}{2a}+c\\\\[/tex]

[tex]k = \frac{b^2}{4a}+\frac{-b^2}{2a}*\frac{2}{2}+c*\frac{4a}{4a}\\\\k = \frac{b^2}{4a}+\frac{-2b^2}{4a}+\frac{4ac}{4a}\\\\k = \frac{b^2-2b^2+4ac}{4a}\\\\k = \frac{-b^2+4ac}{4a}\\\\[/tex]

It's interesting how we end up with the numerator of [tex]-b^2+4ac[/tex] which is similar to [tex]b^2-4ac[/tex] found under the square root in the quadratic formula. There are other ways to express that formula above. We need [tex]a \ne 0[/tex] to avoid dividing by zero. The values of b and c are allowed to be zero.

Answer:

The minimum is at (1,-8). In the equation y = (x – 1)2 – 8, h = 1 and c = 8. So, the x-coordinate of the minimum is the same as the h-value in the equation, and the y-value of the minimum is the opposite of the c-value.

Step-by-step explanation:

plato

Answer:

272×620=168,640

Step-by-step explanation:

If koala airlines carries 272 in average then the answer is 168,640

Answer:

29.32 feet

Step-by-step explanation:

area of a trapezoid = height/2 * (first base + second base)

125.4 = 5.3 / 2 * (18 + second base)

125.4 = 2.65 * (18 + second base)

We want to solve for the second base. To do this, we can start by isolating the (18+second base) by dividing each side by 2.65

47.32 = 18 + second base

subtract 18 from both sides to solve for the second base

29.32 = second base

Answer:

B  (the second number line)

Step-by-step explanation:

[tex]\sqrt{49}[/tex] = 7, so [tex]\sqrt{47}[/tex] would be close to 7

[tex]\\ \sf\longmapsto 2m^2=-200[/tex]

[tex]\\ \sf\longmapsto m^2=-100[/tex]

[tex]\\ \sf\longmapsto m=√-100[/tex]

[tex]\\ \sf\longmapsto m=√100i[/tex]

[tex]\\ \sf\longmapsto m=10i[/tex]