Work out
2 3/14 + 3 4/14
Give your answer as a mixed number in its simplest form. ​

Answer:

x = 11

Step-by-step explanation:

Given the expression;

5x+2y=67 ...1

x=3y−7 ....2

Substitute 2 into 1

5(3y-7)+2y = 67

15y - 35 + 2y = 67

17y = 67+35

17y = 102

y = 102/17

y =6

Recall that x = 3y - 7

x = 3(6) - 7

x = 18 - 7

x = 11

Hence the value of x is 11

Step-by-step explanation:

This is a familiar conversion problem:

[tex]3.3 \times {10}^{2} lightyears \times \frac{5.9 \times {10}^{12} miles}{1 \: lightyear} [/tex]

[tex] = 1.95 \times {10}^{15} \: miles[/tex]

Answer:

see below

Step-by-step explanation:

3.3 × 10^2  light years

one light year is 5.9 × 10^12 miles

you need to multiple these two values

3.3 × 10^2  light years  ×  5.9 × 10^12 miles/light year =

=     (3.3 × 5.9) × 10^2 × 10^12

=     19.47 × 10^(2 + 12)

=     1.947 × 10^1 × 10^14

=     1.947 × 10^15 miles

Given:

The equation is:

[tex]192=6000\left(0.02\left(\dfrac{8}{5}-4y\right)+0.08y\right)[/tex]

To find:

The value of y.

Solution:

We have,

[tex]192=6000\left(0.02\left(\dfrac{8}{5}-4y\right)+0.08y\right)[/tex]

On simplification, we get

[tex]192=6000\left(0.02\times 1.6-0.02\times 4y+0.08y\right)[/tex]

[tex]192=6000\left(0.032-0.08y+0.08y\right)[/tex]

[tex]192=6000\left(0.032\right)[/tex]

[tex]192=192[/tex]

Since LHS=RHS and the equation is free from the variable y, therefore the given equation is true for all real values of y.

Hence, all real values of y are solutions.

Answer:

88 units

Step-by-step explanation:

The required perimeter is 88 units.

Answer:

15

Step-by-step explanation:

I HOPE IT'S HELP PLZ FOLLOWING ME

Answer:

the answer to the question would be 15

Answer:

15

Step-by-step explanation:

Answer:

25 degrees

Step-by-step explanation:

The angle is acute so it is smaller than 90 degrees so it's 25 degrees.

Answer:

the answer to the question is B

Answer:

the smallest circle one

center => (0,1)

radius = √3 = 1.73

Graph C  best represents the equation x² + (y-1)²=3². The given equation is compared by the standard equation to form a graph.

If a circle O has a radius of r units and its center is at (h, k) in the coordinate plane, then its equation is:

(x-h)^2 + (y-k)^2 = r^2

The given data equation is;

x² + (y-1)²=3²

Compare the standard equation with the given equation, we get;

h=0

k=1

r=3

Graph C  best represents the equation x² + (y-1)²=3².

Learn more about equation of a circle here:

https://brainly.com/question/10165274

#SPJ2

Answer:

[tex]area = (7 \times 1) + (5 \times 1) + (8 \times 1) \\ = 7 + 5 + 8 \\ = 20 \: {m}^{2} [/tex]

Answer:

a.) The classes are successful

b.) The classes might not be successful.

c.) Type 11 error

d.) Yes

E.) No

Step-by-step explanation:

C.)

This means that we failed to reject H0 when it is actually FALSE and in fact the classes are successful , that means mean μ > 100, that is: null hypothesis is False.

D.)

Type 1 error occurs when we incorrectly reject H0 ; that is we rejected H0, when it is true

Here, H0, means the classes aren't successful, hence, incorrectly rejecting H0 means we have committed a type 1 error

E.)

Type 11 error means failing to reject H0

;

Here, H0, means the classes aren't successful,

Hence, if we fail to reject H0 in this scenario, we are right, hence, there is no possibility of making a type 11 error in this scenario

Answer:

[tex]\huge\boxed{\sf h = 26.684\ feet}[/tex]

Step-by-step explanation:

See the attached file along with the solution.

Let the height be h,

base of triangle 1 be x

base of triangle 2 be 100 - x

Using the following trigonometry for both the triangles.

[tex]\displaystyle tan (\theta) = \frac{opposite}{adjacent}[/tex]

For triangle 1:

tan 20 = h / x    ---------------------(1)

For triangle 2:

tan 45 = h / 100 - x  -----------------(2)

Taking Eq. (1)

tan 20 = h / x

Multiply both sides by x

tan 20 * x = h

h = tan (20) * x

h = 0.36397x   -----------------------(3)

Put Eq. (3) in (2)

tan (45) = 0.36397x / 100-x

1 = 0.36397 x / 100 - x

Multiply both sides by 100 - x

100 - x = 0.36397 x

Add x to both sides

100 = 0.36397 x + x

100 = 1.36397 x

Divide both sides by 1.36397

100 / 1.36397 = x

73.315 = x

x = 73.315 feet

Now, Finding h (height):

tan 20 = h / x (Eq. (1))

h = tan (20) * x

h = 0.36397 * 73.315

h = 26.684 feet

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

9514 1404 393

Answer:

Step-by-step explanation:

What to do:

__

When you plot 3 points, A, B, C, you can join them 3 ways: AB, AC, BC. The three line segments make a triangle

Answer:

Wins: 12

Losses: 8

Step-by-step explanation:

60% of 20 is 20 x 0.6 = 12

20 - 12 = 8

Answer:

use this formula

1 no .H^2=p^2+b^2

H^2=8^2+15^2

H^2=64+225

H^2=289

H=[tex]\sqrt{289}[/tex]

H=17

2 no. H^2=P^2+B^2

H^2=20^2+21^2

H^2=400+441

H^2=841

H=[tex]\sqrt{841}[/tex]

H=29

Step-by-step explanation:

Hope this helps u!!

Answer:

pythagoras therom

a) square root 8²+15²=17

b)square root 20²+21²=29

Answer:

364 ft

Step-by-step explanation:

26x14=364

Answer:

8111.5

Step-by-step explanation:

Deduct for thousand eleven hundred and a half from twelve thousand twelve hundred and twelve

Rewriting the above question in figure :

4000 + 100 + 0.5 = 5100.5

12000 + 1200 + 12 = 13212

13212 - 5100.5 = 8111.5

= 8111.5

Answer:

m∠G ≈ 41°

Step-by-step explanation:

The value of angle G will be approximately 41.4 °

The square of a side of a plane triangle equals the sum of the squares of the remaining sides minus twice the product of those sides and the cosine of the angle between them.

c² = a² + b² - 2ab cos[tex]\rm \gamma[/tex]

Here in triangle EFG ,

To find angle G

a = 12

b=10

c=8

8² = 12² + 10² - 2*12*10 cos[tex]\rm \gamma[/tex]

64 = 144 + 100 -240 cos    [tex]\rm \gamma[/tex]

64-244 = -240 cos[tex]\rm \gamma[/tex]

-180 = -240 cos[tex]\rm \gamma[/tex]

180/240 = cos [tex]\rm \gamma[/tex]

3/4 = cos [tex]\rm \gamma[/tex]

Therefore angle G will be approximately 41.4 °

To know more about law of cosine

https://brainly.com/question/17289163

#SPJ2

Answer:

The answer is "ski slope from left to right".

Step-by-step explanation:

It has been shown by the jeweler's value in the standardized residuals, it is clear that a linear relation is not fulfilled between mass and market price.

And you know that a normality test would be violated if a curve exists upon on remainder of a story. Because the constant variance will not be received. That violated the static hypothesis.

There B, C, D, E does have the consistent variance as seen in the figure following the linear hypothesis of equal variances however the curvature is shown by a residual plot that has not fulfilled requirements, but the direct correlation between mass and current value is not fulfilled.

Since the shape is a square pyramid, the base would be 14 by 14. The area of one triangle would be 10 times 14 times 1/2 = 70. 70 times 4 = 280. 14 times 14 = 196

196 + 280 = 476

Final answer = 476

Answer:

Plot a point at (0,5) the plot a point at (1,8) (2,11) etc...

Step-by-step explanation:

Answer:

68.7

Step-by-step explanation:

Hope this helps you out in your journey for the test

Answer:

2+2=4

Step-by-step explanation:

I don't even know why this is a question

Answer:

2+2  is 4 ok tell ur thecher it is four

Step-by-step explanation: lol

Answer:

4

Step-by-step explanation:

Answer:

12 = 2 × 2 × 3

32 = 2 × 2 × 2 × 2 × 2

Greater Common Factor = 2 × 2 = 4