1. Construct the Isosceles triangle from given data below : Altitude = 55mm Perimeter = 135mm​

Answer: a is 7 b is 4

Step-by-step explanation: to get an equation with no solution the equation has to be the same so if a is 7 and b is 4 this will show no solution

Area of triangle formula: 1/2 * base * height.

So with the given information it is not possible for me to find the area. Only perimeter is possible.

The Answer is 15,good look!

Greatest Common Factor of 31 and 45 is :

Answer:

sqrt(90) is irrational

Step-by-step explanation:

sqrt(64) = 8

sqrt(90) = 3 sqrt(10)

sqrt(25) =5

sqrt(169)=13

The only one that is not simplified to an integer is sqrt(90)

sqrt(90) is irrational

Answer:

No

Step-by-step explanation:

A function cannot have two of the same x values (3 and 3)

I hope this helps!

We have ( 4x + 3y ) : ( 3x + 4y ) = 24 : 25

[tex]\\ \sf\longmapsto \: \frac{4x + 3y}{3x + 4y} = \frac{24}{25} [/tex]

[tex]\\ \sf\longmapsto \: 25(4x + 3y) = 24(3x + 4y)[/tex]

[tex]\\ \sf\longmapsto \: 100x + 75y = 72x + 96y[/tex]

[tex]\\ \sf\longmapsto \: 100x - 72x = 96y - 75y[/tex]

[tex]\\ \sf\longmapsto \: 28x = 21y[/tex]

[tex]\\ \sf\longmapsto \: \frac{x}{y} = \frac{21}{28} = \frac{3}{4} [/tex]

Hence ,

[tex]\\ \sf\longmapsto \dfrac{4x+3y}{3x+4y}=\dfrac{24}{25}[/tex]

[tex]\\ \sf\longmapsto 24(3x+4y)=25(4x+3y)[/tex]

[tex]\\ \sf\longmapsto 72x+96y=100x+75y[/tex]

[tex]\\ \sf\longmapsto 96y-75y=100x-72x[/tex]

[tex]\\ \sf\longmapsto 21y=28x[/tex]

[tex]\\ \sf\longmapsto \dfrac{x}{y}=\dfrac{21}{28}[/tex]

[tex]\\ \sf\longmapsto \dfrac{x}{y}=\dfrac{3}{4}[/tex]

[tex]\\ \sf\longmapsto x:y=3:4[/tex]

Answer:  303.870087962229

Simplify ≈303.87

Step-by-step explanation:

Grows 9.5%→r=0.095 Divide by 100

Grows every 2 decades: exponent of t2

(where t is in decades)

Write a function:

f(t)=240(1+0.095) ^t/2 Percent change every 2 decades

52 years→52/10→5.2 decades There are 10 years in a decade

Plug in t=5.2

f(5.2)=240(1+0.095) 5.2/2

Answer:  303.870087962229

≈303.87

Round to the nearest hundredth

Answer:

it will take a total of 8 hours to finish the race

Step-by-step explanation:

6h÷3/4=8

Answer: B

Explanation:  

32 marbles in total.

18 red marbles

4 blue marbles

10 green marbles.

You are asked what part of Osteen's marbles are red?

Probability = number of possible outcomes/total number of out outcomes.

P(Red) = 18/32 = 9/16

Both, 18 and 32 are divisible by 2 which gives 9/16. Since 9/16 cannot be reduced any further, we live it as it is. If you wanted to plug this into a calculator that would give 0.5625 which is 56.25% of Osteen's marbles are red.

P(Blue) = 4/32 = 1/8. 1/8 = 0.125 which 12.5% of his marbles are blue.

P(Green) = 10/32 = 5/16. 5/16= 0.3125 which 31.25 of his marbles are green. When you add 0.5625 + 0.125 + 0.3125 = 1 which is 100%. All probabilities add up to 1.

Hope this elaborate explanation helps.

Answer:

[tex]\huge\boxed{y=\dfrac{4}{3}x-1}[/tex]

Step-by-step explanation:

Let

[tex]k:y=m_1x+b_1\\l:y=m_2x+b_2[/tex]

then

[tex]k\perp l\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\k\ ||\ l\iff m_1=m_2[/tex]

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

We have:

[tex]y=-\dfrac{3}{4}x-3\to m_1=-\dfrac{3}{4}[/tex]

Let

[tex]y=m_2x+b_2[/tex]

Therefore

[tex]m_2=-\dfrac{1}{-\frac{3}{4}}=\dfrac{4}{3}\Rightarrow y=\dfrac{4}{3}x+b_2[/tex]

Substitute

[tex](0,\ -1)\to x=0;\ y=-1[/tex]

[tex]-1=\dfrac{4}{3}\cdot0+b_2\\\\b_2=-1[/tex]

Answer:

The scatter plot is in the picture attached

Answer:

option c.)

Step-by-step explanation:

m∠1 + m∠3 = 180°

Answer:

Step-by-step explanation:

Conclusion:

Therefore, m = 2.5

Hoped this helped.

[tex]GeniusUser[/tex]

Step-by-step explanation:

a ticket for 3 days cost = 35968

cost of 1 ticket = 35967÷3= 11989.33

therefore, 500 tickets cost= 500 x 11989.33

= 5994666.666, approximately 5994667

The slash is an oblique slanting line punctuation mark /. Once used to mark periods and commas, the slash is now most often used to represent exclusive or inclusive or, division and fractions, and as a date separator.

Answer: 13.5 bags

Explanation:

5 3/8 = 43/8

3 5/8 = 29/8

43/8 + 29/8 = 9

9 divided by 2/3 is 13.5

Hope this helps :)

Answer:

[tex]13 \frac{1}{2} [/tex]

Step-by-step explanation:

So first we can add the two snack together

So the

[tex]5 \frac{3}{8} + 3 \frac{5}{8} = 9[/tex]

Once we have that we can say 9÷2/3

And this will give us 13.5 or 13 and a half.

I really hope this helps

Answer:

tans=0.8770580193

Step-by-step explanation:

Answer:

Angle B = 88

Angle C = 44

Step-by-step explanation:

X+48+(X-44)=180

Subtract 48 from both sides

X+48-48+(x-44)=180-48

X+(x-44)=132

2x-44+44=132+44

2x= 176

X=88

Angle A=48

Angle B =88

Angle C=44

(88-44)

88+44+48=180

Answer:

∠A = 48°

∠B = 48°

∠C = 84°

Explanation:

For C, it is parallel to A, so it would be the same sized angle. For context, all angles of a triangle add up to 180°, so you do; ∠A + ∠C and get 96°

Then you do, 180° - 96° to get 84°

So ∠C would be 84°

Answer:

16 minutes

Step-by-step explanation:

First we are going to want to find the area of the window. We then divide that by the amount of area you can wash per minute ( 6 square feet )

So first lets find the area.

We are told that the window is in a shape of a trapezoid.

The area of a trapezoid can be calculated using the formula A = [tex]\frac{a+b}{2} h[/tex]

Where a and b are the base lengths and h is the height

We are told that the length of the bases are 10 ft and 14ft so a and b = 10 and 14. We are also told that the window has a height of 8 so h = 8 .

We then plug these numbers into the formula to find the area

Recall formula: [tex]A=\frac{a+b}{2} h[/tex]

a = 10 , b = 14 and h = 8

plug in these values into formula

[tex]A=\frac{10+14}{2} 8[/tex]

add 10 and 14 to get 24

[tex]A=\frac{24}{2} 8[/tex]

simplify fraction : 24 / 2 = 12

[tex]A=(12)(8)[/tex]

multiply 12 and 8 to get 96.

A = 96 square feet.

To find how long it would take to wash the window we divide the total area of the window by the amount of area that can be washed per minute

Total area of window = 96

Area that can be washed per minute = 6

Time it would take to wash the whole window = 96 / 6 = 16 minutes

Answer: If you roll two fair six-sided dice, the probability that the sum is 5 or lower is 5/18.

Explanation: Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

For an experiment having n number of outcomes, the number of favorable outcomes can be denoted by x

Let ‘x’ be the number on the first dice.

‘Y’ be the number on second dice.

We have to find the probability that the sum is 5 or lower i.e. (x + y) <= 5.

Total number of possible results from two six-sided dice is 6 × 6 = 36.

The possible results that the sum is lower than 4 is (1,1), (1,2), (1,3), (1,4), (2,1), (2,2), (2,3), (3,1), (3,2) and (4,1).

Number of possible results for the sum is 5 or lower is 10.

The probability that the sum is 5 or lower = 10/36

=5/18

Therefore, the probability that the sum is 5 or lower is 5/18.

There are 28 days in 4 weeks.

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

There are 7 days in a week, so to convert weeks to days, we multiply the number of weeks by 7. For example, if we have 2 weeks, we would multiply 2 by 7 to get 14 days.

In this case, we are given 4 weeks and asked to convert it to days. So we multiply 4 by 7 to get:

4 x 7 = 28

Therefore, there are 28 days in 4 weeks.

Learn more about Mathematical operations here:

https://brainly.com/question/20628271

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Answer: 1 cup of water with 1 1/2 teaspoons of powdered drink.

Step-by-step explanation:

I know this, because if 1 cup is 1 1/2 teaspoons of powdered drink, then 2 cups of water would have 3 teaspoons of powdered drink mix, so the second option is out. And, the third option is out because it less than 1 cup of water with 1 1/2 teaspoons of powered drink mix.

Answer:

Table B

Step-by-step explanation:

In order for a set of data to represent a function, there must be a pattern. In Table B , you can see that when you add or subtract 3 from the original input -8 (to get -5 or -11), that the values for -5 and -11 are matching. That signals there is a function.

Answer:

8m

Step-by-step explanation:

Answer:

that would be 24%

Step-by-step explanation:

Now we can see that our fraction is 24/100, which means that 12/50 as a percentage is 24%.

Answer:

24%

Step-by-step explanation:

the fraction form is 24/100, meaning the percentage is 24% put of 100%

Answer:

7.3

Step-by-step explanation:

Answer:

  3, 5, 2, 1, 4

Step-by-step explanation:

In step 2, parentheses are eliminated: distributive property.

In step 3, x is subtracted: subtraction property.

In step 4, 12 is added: addition property.

In step 5, the equation is divided by 17: division property.

__

The properties are listed in the order of statements ...

  3, 5, 2, 1, 4