4. Determine all unknown sides and angles to 1 decimal place.
a.
b.
32°
12 cm
30°
38 cm

Answer:

Gloves = 11 pairs

Socks = 4 pairs

Step-by-step explanation:

Given that :

Time taken to knit pair of socks = 3 hours

Time taken to knit pair of gloves = 7 hours

Total time taken to knit 15 pairs of gloves and socks = 89 hours

Let :

number of socks = x and number of gloves = y

x + y = 15 - - - - (1)

3x + 7y = 89 - - - (2)

From (1):

x = 15 - y

Put x = 15 - y in (2)

3(15 - y) + 7y = 89

45 - 3y + 7y = 89

45 + 4y = 89

4y = 89 - 45

4y = 44

y = 44/4

y = 11

From :

x = 15 - y

x = 15 - 11

x = 4

Answer: C

Step-by-step explanation:

To solve for 12, we can use eliminate or substituion to solve our system of equations. Let's use elimination method.

[tex]\left \{ {{3f-2k=10} \atop {-3f-2k=14}} \right.[/tex]

Let's add the equations together. This way, 3f+(-3f)=0

[tex]-4k=24[/tex]                   [divide both sides by -4]

[tex]k=-6[/tex]

Now that we know k, we can plug it into either equation to find f.

[tex]3f-2(-6)=10[/tex]        [multiply]

[tex]3f+12=10[/tex]             [subtract both sides by 12]

[tex]3f=-2[/tex]                    [divide both sides by 3]

[tex]f=-\frac{2}{3}[/tex]

Now that we have f and k, we know that C is the correct answer.

Answer:

(n-2)180

Step-by-step explanation:

Let us assume the number of sides is 'n'.

So,

The SUM of the interior angles of a shape with n sides is given by the formula (n-2)180

Answer:

abcdsStep-by-step explanation:

Answer:

Step-by-step explanation:

first we need to calculate the area of isosceles triangle having sides 48cm, 48cm and 30cm

a = 48

b= 30

Area of isosceles triangle using only sides = ½[√(a^2 − b^2 /4) × b]

= 1/2*30√( 48² - 1/4×30²)

=1/2*30√ (2304 -225)

=684sq cm

cost required to make umbrella= 10*684*5

= 34200

Answer:

The third exterior angle is [tex]103^o[/tex]

Step-by-step explanation:

Given

[tex]\theta = 158^o[/tex]

[tex]\alpha = 99^o[/tex]

Required

The third exterior angle [tex](\beta)[/tex]

The exterior angles of a triangle add up to 360 degrees.

So:

[tex]\theta + \alpha + \beta = 360^o[/tex]

Make [tex]\beta[/tex] the subject

[tex]\beta = 360^o - (\theta + \alpha)[/tex]

Substitute known values

[tex]\beta = 360^o - (158^o + 99^o)[/tex]

[tex]\beta = 103^o[/tex]

Answer:

Step-by-step explanation:

As marked,

In triangle WKQ. In triangle MQK

WK. = MQ. (Given)

WQ. = MK. (Given)

KQ. = KQ. (Common side)

Hence,

As three sides of a triangle are equal so they will be proved by SSS Congruence Condition.

Answer:

(2,1)

Step-by-step explanation:

2x - 2y = 2

5x + 2y = 12

again just add them in this case

7x = 14

x = 2

4 - 2y = 2

-2y = -2

y = 1

Answer:

Y=7

Step-by-step explanation:

x1 y1  x2 y2

-7 7  3 7

(Y2-Y1) (7)-(7)=   0  ΔY 0

(X2-X1) (3)-(-7)=    10  ΔX 10

slope= 0          

B= 7          

Y =0X +7    

Answer:

y = 7

Step-by-step explanation:

(x₁, y₁) = (-7 , 7)   & (x₂, y₂) = (3 , 7)

y-co-ordinate are same for both points. So, the line parallel to x-axis and it's slope =0

A line that is parallel to x-axis and has a y-intercept 'c' has the equation y = c

y = 7

90

6+6=12

12+8=20

20+10=30

30+12=42

42+14=56

56+16+18=90

1+1+2+2+3+3+4+4+5+5+6+6+7+7+8+8+9+9+0+0 would equal to 90 if you break it down.

Hope this helps!

Have a great day :)

Answer:

The Second One

Step-by-step explanation:

It Shows Side Lengths, and the angles for LOM and PON connect at O.

That means they share a similar angle, and between the angle are Sides.

SAS. (Side-Angle-Side)

(I'm not really good at math so i'm sorry if its wrong!)

The square root of 100 is 10.

To check, solve 10 x 10.

Hope this helps! Please mark me as brainliest!

Have a great day!

Answer: Width = 5 inches

Concept:

Here, we need to know the idea of the perimeter.

A perimeter is a path that encompasses/surrounds/outlines a shape.

Perimeter of rectangle = 2 (w + l)

w = width

l = length

If you are still confused, please refer to the attachment below for a graphical explanation.

Solve:

w = w

l = 3w - 2

P = 36 inches

Given formula

P = 2 (w + l)

Substitute the value into the formula

36 = 2 (w + 3w - 2)

Simplify values in the parentheses

36 = 2 (4w -2)

Divide 2 on both sides

36 / 2 = 2 (4w - 2) / 2

18 = 4w - 2

Add 2 on both sides

18 + 2 = 4w - 2 + 2

20 = 4w

Divide 4 on both sides

20 / 4 = 4w / 4

w = 5

Hope this helps!! :)

Please let me know if you have any questions

Answer:

He must sell 1390 carrots

Step-by-step explanation:

30x + 300x/30 = 55500

40x = 55500

x = 1387.5

1387.5

multiply 30 by .3 to get $9 for 30 carrots

Then add $3 to this amount to get $12 dollars.

Divide 555 by 12 to get 46 R3.

Multiply 46 by 30 because its 46 bundles of 30 carrots

Then divide the 3 dollars by .3 for each carrot to get 10 carrots

1380+10 = 1390

Hasib must sell 1390 carrots in order to earn $555.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Given information; Hasib earns 30 cents for every carrot he sells. He earns an extra $3 for every 30 carrots he sells.

So, the equation form;

30x + 300x/30 = 55500

40x = 55500

x = 1387.5

Now, multiply 30 by .3 to get $9 for 30 carrots

Then add $3 + 9 = $12 dollars.

Now, Divide 555/ 12 = 46 R3.

46 x 30  = 1380  because its 46 bundles of 30 carrots

For each carrot to get 10 carrots

1380 + 10 = 1390

Therefore, Hasib must sell 1390 carrots in order to earn $555.

Learn more about equations here;

https://brainly.com/question/10413253

#SPJ2

Answer:

I think Substitution

Step-by-step explanation:

Because x is already solved for in the second equation.

Answer:

She spends $30 in total.

Step-by-step explanation:

Suppose that you buy X units of a given product with a price Y, then the total cost here is X*Y, with this we can solve our problem:

Every week Judy buys:

5 carrots, at $1 each, so she spends 5*$1 = $5 in carrots.

3 bottles of milk at $3, so she spends 3*$3 = $9 in milk bottles.

2 pineapples at $4 each (but the pineapples are at half price, so this week the pineapples cost $4/2 = $2), so she spends 2*$2 = $4 in pineapples.

2 bags of flour at $5 each, so she spends 2*$5 = $10 in flour.

1 giant container of ice cream, she spends $7 on it.

So the total money that she speends is:

$5 + $9 + $4 + $10 + $7 = $35

And she has a coupon for $5 in any order equal to or larger than $25, his order is larger than $25, so she can use the coupon.

So she will spend a total of $35 - $5 = $30

She spends $30 in total.

Answer:

6 - 3x = 4 - X-3 - 2x

-3x+x+2x=4-6-3

0x=-5

No solutions

Given:

The graph of a scatter plot.

To find:

The function that best fits the given points.

Solution:

From the given graph it is clear that the linear function is the best fit for the given points because the points lie on a straight line or near to it.

So, options B and C are incorrect because they represent exponential and quadratic function respectively.

Let as assume the two points on the graph are (0.80,-12.82) and (2,-12.79).

Using this two points, the equation of line is:

[tex]y-(-12.82)=\dfrac{-12.79-(-12.82)}{2-0.80}(x-0.80)[/tex]

[tex]y+12.82=\dfrac{-12.79+12.82}{2-0.80}(x-0.80)[/tex]

[tex]y+12.82=0.025(x-0.80)[/tex]

[tex]y+12.82=0.025x-0.02[/tex]

[tex]y=0.025x-0.02-12.82[/tex]

[tex]y=0.025x-12.84[/tex]

[tex]y=-12.84+0.025x[/tex]

It is the approximate function to the function that is in option A.

Therefore, the correct option is A.

Answer:

Given two equal chords. Since the line from the centre is always equal, thus the lines that bisect the two chords are also equal. X=5

Answer:

here's the answer to your question

Answer:

D) 40

Step-by-step explanation:

To solve the question you can use the knowledge that every triangle has a total of 180 degrees. Two of the angles are known one is 50 and the other is 90. We know one is 90 because of the square around the angle. Then, you can set up an algebraic equation to solve. We know that 50+90+x=180, so solve for x for the final answer of 40.

she left her computer open for 48 hours

Answer:

Step-by-step explanation:

a1=-8

a2=3

D=11

n=-8+11(n-1)

Answer:

50 percent?

Step-by-step explanation:

Answer:

C'(-1,-2), V'(-2,2), N(2,0)

Step-by-step explanation:

Dilation of (1/2) means multipling (1/2) to every coordinate. C'(-1,-2), V'(-2,2), N(2,0).

Answer:

Step-by-step explanation:

2/9 x + 6/7 + 2.35x = -4/5 x.

the like terms are 2/9 x ,  2.35x, and  -4/5 x.

they all have the variable x

Answer:

1/9

Step-by-step explanation:

Answer:

Step-by-step explanation:

See the solution in steps:

Answer:

A =147 cm^2

Step-by-step explanation:

A = pi r^2

The radius is 7 and let pi = 3

A = 3*7^2

A = 3*49

A =147

Answer:

Step-by-step explanation:

In a parallelogram, this one in particular:

KR = RM

JR = RL

We are looking in the end for the length of JR, but that means that we need to solve for x somehow to plug in the expression for JL, and then split that in half. Here's how we're going to go about it. I know that

KM = KR + RM, but since KR and RM are the same length, the equation becomes

KM = 2KR. Filling that in with the expressions I'm given for KM and KR:

3x - 5 = 2(x + 7) and

3x - 5 = 2x + 14 and

x = 19. Now I can find the length of JL:

JL = 4x - 10 so

JL = 4(19) - 10 and

JL = 66

Knowing that JR = RL and JL is 66 units long, JR = RL = 33 units each.