Pens cost 43p and booklets cost £1.85 How much change will I get from £10 if I buy 3 pens and 4 booklets

Answer:

The terminal point is (1, 0) ⇒ D

Step-by-step explanation:

In the unit circle, Ф is the angle between the terminal side and the positive part of the x-xis

In a unit circle

∵ Ф = 2π radians

→ By using the 1st rule above

∴ The terminal point is (1, 0)

Answer:

(1,0)

Step-by-step explanation:

ΔHKJ and ΔLNP are similar triangle due to equal pair of corresponding angles .

Similar triangles are defined as two triangles with the same shape, equal pair of corresponding angles, and the same ratio of the corresponding sides.

Given,

m∠H = 30°

m∠J=50°

m∠P=50°

m∠N=100°

In triangle ΔHKJ

m∠H = 30°

m∠J=50°

m∠K= 180°- (m∠H+m∠J) = 180°-(30°+50°)

m∠K= 100°

In ΔHKJ and ΔLNP,

m∠J = m∠P= 50°

m∠K= m∠N= 100°

According to Angle-Angle (AA) rule, two triangles are said to be similar if two angles in one particular triangle are equal to two angles of another triangle.

Thus, ΔHKJ and ΔLNP are similar triangle due to equal pair of corresponding angles.

Hence, ΔHKJ ~ ΔLNP

learn more about similar triangle

https://brainly.com/question/25882965

Answer: 6[tex]\sqrt{2}[/tex]

Step-by-step explanation: Because the angles are the same, 45 and 45 the other leg of the triangle is also 6.

From there we can use the Pythagorean Theorum to solve for x

6^2+6^2 = 72

so x is [tex]\sqrt{72}[/tex]

which simplifies to 6[tex]\sqrt{2}[/tex]

Answer:

6 rt 2

Step-by-step explanation:

you can use pythagorean theorem (a^2+b^2=c^2)

or since this is a 45, 45, 90 triangle the 2 equivalant sides are equal to each other and the hypotenues is also the legnth of the 2 sides times rt 2

[tex]\left[\begin{array}{ccc}0&-1\\-3&1\end{array}\right][/tex]

-y

-2x + y

- y determinant

__________________________________________________________

[tex]\left[\begin{array}{ccc}2&0\\1&-3\end{array}\right][/tex]

2x

x-3y

- x determinant

__________________________________________________________

[tex]\left[\begin{array}{ccc}2&-1\\1&1\end{array}\right][/tex]

2x -y

x + y

-system determinant

Answer:

See below

Step-by-step explanation:

a) The vertex is (0,2) so the standard form equation is (x-0)^2=4p(y-2). Since p=1/(4a) and a=1/8, then p=1/(4(1/8))=1/(1/2)=2. This makes the equation now x^2=8(y-2). Given the focus point for a vertical parabola is (h,k+p) then the focus point is (0,2+2) which is (0,4)

b) They are both 4 units away

c) I can't solve

d) I can't solve

Answer:

I have provided it below

Step-by-step explanation:

- 8/18 > - 17/27

- 0.444444 > 0.62963

So this inequality is TRUE

Hope this helps!!

Answer:

2:1 I think heheheheeh

Step-by-step explanation:

lol

Answer:

Simple the area is 88

Step-by-step explanation:

Given :

cos x = 1.7/2 .

Also, x is an acute angle.

To Find :

The value of angle x.

Solution :

cos x = 1.7/2

Applying cos inverse both the sides, we get :

[tex]cos ^{-1} (cos\ x ) = cos^{-1} \dfrac{1.7}{2}\\\\x = cos^{-1} \dfrac{1.7}{2}[/tex]

Calculating the value of  [tex]cos ^{-1} \dfrac{1.7}{2}[/tex] from calculator, we get :

x = 31.79°

Therefore, the acute angle x is 31.79°.

Answer:

I think it’s 5/-12

Step-by-step explanation:

Not sure but steps below

Question:

Which two fractions are equal to 2?

A .1/2      B.2/4      C.2/1     D.2/2     E.4/2

Answer:

C.2/1     and E.4/2

Step-by-step explanation:

Required

Determine equivalent of 2

To do this, we simply evaluate each option

A .1/2      

[tex]\frac{1}{2} = 0.5[/tex]

B.2/4      

[tex]\frac{2}{4} = 0.5[/tex]

C.2/1    

[tex]\frac{2}{1} = 2[/tex]

D.2/2    

[tex]\frac{2}{2} = 1[/tex]

E.4/2

[tex]\frac{4}{2} = 2[/tex]

From the calculations above:

Options (c) and (e) are equivalent to 2

15 plus 4 times 2Step-by-step explanation:

38

Answer:

2.5 hrs

Step-by-step explanation:

4x2.5=10

2x2.5=5

10+5=15

:)

Answer:

The answer is 200.

Step-by-step explanation:

The steps are :

[tex] \sqrt[3]{8 \times {10}^{6} } [/tex]

[tex] = \sqrt[3]{8} \times \sqrt[3]{ {10}^{6} } [/tex]

[tex] = {8}^{ \frac{1}{3} } \times {10}^{(6 \times \frac{1}{3} )} [/tex]

[tex] = 2 \times {10}^{2} [/tex]

[tex] = 200[/tex]

9514 1404 393

Answer:

  sometimes true

Step-by-step explanation:

The equation reduces to ...

  x^y·x^z = z^18

  x^(y+z) = z^18

This is not true in general, but is true for specific cases of x, y, and z. For example,

  4^(7+2) = 2^18 . . . . (x, y, z) = (4, 7, 2)

  4^(7+0) ≠ 0^18 . . . . (x, y, z) = (4, 7, 0)

The equation is sometimes true.

Answer:

Slope of 4 is way steeper that 1/3 but they are both positive slopes.

Step-by-step explanation:

Hope this helps. Pls give brainliest.

Answer:

Kian's method is correct.

Step-by-step explanation:

Javine says, "To multiply by 1000, I just add three zeros." He is incorrect.

Kian says, "I times by 10, then times by 10 and times by 10 again. When he multiply 1 by 10, it becomes 10. Then if he again multiply by 10, it becomes 10×10 = 100. And at last when he multiply again 10, it becomes 100×10 = 1000. It means Kian's methods for multiplying by 1000 is correct.

Answer:

69 calories

Step-by-step explanation:

Given that :

Number of calories in 28 grams = 161

9 cashews = 12 grams

Number of calories consumed :

28 grams = 161 calories

12 grams = x

Cross multiply :

28x = 161 * 12

28x = 1932

x = 69 calories

Answer: Q=1.79

Step-by-step explanation: Move 0.63 to the right and add both numbers then calculate it. So Q=1.79

Answer:

c. 14

Step-by-step explanation:

Let the missing y value be y2.

If the data represent a linear function, then:

[tex] \frac{6 - 2}{2 - 1} = \frac{y_2 - 6}{4 - 2} [/tex]

[tex] \frac{4}{1} = \frac{y_2 - 6}{2} [/tex]

[tex] 4 = \frac{y_2 - 6}{2} [/tex]

Multiply both sides by 2

[tex] 4 \times 2 = \frac{y_2 - 6}{2} \times 2 [/tex]

[tex] 8 = y_2 - 6 [/tex]

Add 6 to both sides

[tex] 8 + 6 = y_2 - 6 + 6 [/tex]

[tex] 14 = y_2 [/tex]

The missing value is 14

Answer:

so the equation would be

u+t+h=12

lets break it down

we know that t is equal to

h+ 2

and we know that u is equal to

h+t

okay so first we need to focus on finding one of the units then we can find the next ones

so lets find h first,

with the equations we found h is involved in all of them so we can use them in the equation that equals 12 ( ill make it easier for you and make all of the units equal to their equation including h)

u= h+t

h+2=t

t= h+2

h=h

u= h+h+2

so lets put it together

(h+h+2)+(h)+(h+2)=12

4h+4=12

    -4  -4

4h=8

/4   /4

h=2

okay now using our other equations lets find t and u

h+2=t

2+2=t

4=t

h+t=u

2+4=u

6=u

now lets check our answers

u+t+h

6+4+2=12

10+2=12

12=12

so now that we know the values lets put them into their places in the number

uth

u=6

t=4

h=2

642 is your number

if you need anymore clarification just ask or help with another problem

Step-by-step explanation:

Answer:

33.75 red counters

Step-by-step explanation:

Given the ratio of the  red counters to  blue counters as 5:4. The total ratio will be 5 + 4 = 9

If there are 27 blue counters in the bag, the total amount of counters there will be gotten using the expression;

4/9 * x = 27

x is the total counter in the bag.

4x/9 = 27

4x = 9*27

x = (9*27)/4

x = 60.75

The amount of red counters there will be

red counters = Total - blue counter

red counter = 60.75 - 27

red counter = 33.75 red counters

Answer:

OLD

Step-by-step explanation:

Answer:

4.543 billion years

Step-by-step explanation:

Answer:

i. 33

ii. 1488

iii. 65

Step-by-step explanation:

i. 4x² − 3y² + 5z²

Putting the values x=2, y=-1 and z=2

4(2)² − 3(-1)² + 5(2)²

4×4 − 3×(1)² + 5×(4)

(16) -  (3×1) + (20)

16 -  3+ 20

36 - 3

33

ii. 3x³ − 2x(4yz+5x²)

Putting the values x=2, y=-1 and z=2

[3(2)³ − 2×2(4×(-1)×2 + 5×(2)²)]

[3(8)³ − 2×2(-8 + 5×4)]

[3 ×512 -  2×2(-8 +20)]

[1536 - 4(12)]

[1536 - 48]

1488

iii. 1−4x(yz+3xy)

Putting the values x=2, y=-1 and z=2

[1 - 4 × 2((-1)×2 + 3×2×(-1))]

[1- 8(-2 + (-6))]

[1- 8 (-2 -6)]

[1 - 8(-8)]

[1 +64]

65

Answer:

The Volume is equal to 2x^3-3x^2+2x-3

Step-by-step explanation:

Formula for the volume of a rectangular prism is V=WHL

We know that:

W=x-1

L=x+1

H=2x-3

So, V= (x-1)(x-1)(2x-3)

Simplify

(x^2+1)(2x-3)

2x^3-3x^2+2x-3

Answer:

Answer given in the photo