4a {3а2а +4)- 34 2а- 5) a[3а" (а)
How do I simplify this

Answer:

2x-25<89

x<57

Step-by-step explanation:

2x-25<89

2x<89+25

2x<114

Divide by 2...

x<57

Hope this helped! Please mark brainliest :)

Answer:

The answer is 90cm

Step-by-step explanation:

Hello,

Lateral area = (3+3+3+3)*6=4*3*612*6=72 (cm²)

Bases area= 2*3²=18 (cm²)

Total area= 72+18=90 (cm²)

Answer:

(a) By cosine rule, /PQ/2=202+152−2×20×15×cos145°

= 400+225−600cos145°

= 625+600×0.8192

= 491.52+625

/PQ/2=1116.52⟹/PQ/=1116.52−−−−−−√=33.41

≊33km ( to the nearest whole number)

(b) By sine rule,

sin<QPR15=sin14533.41

sin<QPR=15sin14533.41

sin<QPR=15×0.573633.41=0.2575

<QPR=14.92°

∴ Bearing of Q from P = 25° + 14.92° = 39.92°.

≊40° (to nearest whole number)

Step-by-step explanation:

hope it helps

...

Answer:

[tex]- ab - 8a + 9[/tex]

Step-by-step explanation:

[tex](6ab - 8a + 8) - (7ab - 1) \\ 6ab - 8a + 8 - 7ab + 1 \\ - ab - 8a + 9[/tex]

hope this helps you.

Answer:

-ab - 8a + 9

Step-by-step explanation:

(6ab - 8a + 8) - (7ab - 1) =

= 6ab - 8a + 8 - 7ab + 1

= -ab - 8a + 9

Answer:

7/50 = x/75

x = 10.5

therefore he would run 10.5 miles in 75 minutes

Answer:

In 75 minutes, she runs (7/50) x 75 = 10.5.

She runs 10.5 miles in 75 minutes.

Step-by-step explanation:

Answer:

8 inches

Step-by-step explanation:

Given:

t = 2 ( 2h/32 ) ^1/2 ( or: t = 2 * sqrt ( 2h/32) ).

Step 1: First Player

0.9 = 2 * sqrt( 2h/32 )   / ^2 ( we will square both sides of equation )

0.81 = 4* 2h/32

0.81 = h/4

h 1 = 0.81 * 4 = 3.24 ft

Step 2: Second Player

0.8 = 2 * sqrt( 2h/32 ) /^2

0.64 = 4 * 2 h/32

h 2 = 0.64 * 4 = 2.56 ft

Step 3: Simplify

h 2 - h 1 = 3.24 - 2.56 = 0.68 ft

and since 12 in = 1 ft:

0.68 * 12 = 8.16 in ≈ 8 in.

Answer:

$837.5

Step-by-step explanation:

here given

Principal (P)= $ 1000

Rate. (R)= 16.75%

time. (T)= 5year

we know

Simple interest (S.I)= PTR/100

1000*5*16.75/100

= $837.5

Answer:

5:6 lol

Step-by-step explanation:

The percent of carbon in the 24 gram sample of methane is 75%.

To find the percent of carbon in the sample of methane, you can use the formula:

Percent of Carbon = (Mass of Carbon / Total Mass of Sample) * 100

Given that the mass of carbon in the sample is 18 grams and the total mass of the sample is 24 grams, we can substitute these values into the formula:

Percent of Carbon = (18 grams / 24 grams) * 100

Percent of Carbon = (0.75) * 100

Percent of Carbon = 75%

Therefore, the percent of carbon in the 24 gram sample of methane is 75%.Mass of Carbon: The problem states that the mass of carbon in the sample of methane is 18 grams. This means that out of the total mass of the sample, 18 grams is specifically attributed to carbon.

Total Mass of Sample: The total mass of the sample is given as 24 grams. This represents the combined mass of all the elements present in the sample, including carbon and hydrogen.

Percent Calculation: To find the percentage of carbon in the sample, we use the formula: (Mass of Carbon / Total Mass of Sample) * 100. This formula calculates the fraction of carbon relative to the total mass of the sample and converts it to a percentage.

Learn more about percentage here:

https://brainly.com/question/24877689

#SPJ8

Answer: 24

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Thanks to the given angle, we can say that the triangle formed by tracing another height has two congruent legs

So

x = 9 + 7 = 16

y = √2 * 9^2 = 9√2

Answer:

A

Step-by-step explanation:

Completing the rectangle formed by legs 9 and 7 , gives us a right triangle on the left.

Using the sine ratio and the exact value sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{9}{y}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

y = 9[tex]\sqrt{2}[/tex]

Using the tan ratio in the right triangle and the value tan45° = 1 , then

tan45° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{9}{adj}[/tex] = 1

adj = 9

Then

x = 9 + 7 = 16

Answer:

Graph C

Step-by-step explanation:

Each graph has the same slope and points, but only C works for this inequality- since you’re looking for less than or equal to, and only graphs b and c show less than, you know it’s one of those. From there you know it’s less than or equal to, so you want the full line, not dotted, since dotted represents that those values are excluded from the solution.

Answer:

yes , k = 9

Step-by-step explanation:

The equation of a proportional relationship is

y = kx ← k is the constant of proportion

To find k divide both sides by x

[tex]\frac{y}{x}[/tex] = k

Check each ordered pair in the table

k = [tex]\frac{18}{2}[/tex] = 9

k = [tex]\frac{45}{5}[/tex] = 9

k = [tex]\frac{63}{7}[/tex] = 9

Thus the relationship is proportional with k = 9

Answer:

b + 24

Step-by-step explanation:

b and 24 would be b + 24

Answer:

Step-by-step explanation:

volume =triangular area× length

=1/2×6×3×14

=126 ft³

Answer:

About 126 ft cubed

Answer:

[tex]P(Atleast\ 1) = 0.9999992[/tex]

Step-by-step explanation:

Given

[tex]p = 3\%[/tex] --- rate of hard disk drives failure

[tex]n = 4[/tex] --- number of hard disk drives

See comment for complete question

Required

[tex]P(Atleast\ 1)[/tex]

First, calculate the probability that the none of the 4 selected is working;

[tex]P(none) = p^4[/tex]

[tex]P(none) = (3\%)^4[/tex]

[tex]P(none) = (0.03)^4[/tex]

Using the complement rule, the probability that at least 1 is working is:

[tex]P(Atleast\ 1) = 1 - P(none)[/tex]

This gives:

[tex]P(Atleast\ 1) = 1 - 0.03^4[/tex]

[tex]P(Atleast\ 1) = 0.9999992[/tex]

Answer:

$1.70

Step-by-step explanation:

To figure out how much each apple costs, divide $1.50 by the quantity of apples (6). The answer to that is $0.25, so multiply it by the two apples to get $0.50.

For the oranges, divide $3 by 5. The answer for that is $0.60. Multiply that by the two oranges to get $1.20.

Then, add $0.50 to $1.20 to get a total of $1.70

Answer:

$1.70

Step-by-step explanation:

We know that you can buy 6 apples for $1.50 and 5 oranges for $3.00. So let's look at the cost for one individual apple first.

To find the amount/apple we can divide $1.50 by 6. Here's another way to look at it:

Assume A is cost per apple.

6A = $1.50

6A/6 = $1.50/6

A = $0.25

Now to find the amount for 2 apples, you want to multiply the amount it costs for one apple by 2, because you are multiplying the quantity by 2 as well.

A= $0.25

A *2 = $0.25 * 2

2A = $0.50

So for two apples, it is 50 cents.

We can use a similar process for oranges but with a different price and quantity.

Assume R is cost per orange.

5R = $3.00

5R/5 = $3.00/5

R = $0.60

To find the amount for two oranges we multiply the cost by two.

R = $0.60

R*2 = $0.60*2

2R = $1.20

Finally, we want the total amount for apples AND oranges so we find the sum.

$0.50 + $1.20 = $1.70

Answer:

6 yds

Step-by-step explanation:

If we label the shorter side as x, the longer side can be represented as 2x + 2. Now, we can write an equation to model the situation. The area of a rectangle is the sides multiplied by each other:

84 = x(2x + 2)

84 = 2x^2 + 2x

Since all terms are divisible by two, we can divide both sides by it:

42 = x^2 + x

We can write the quadratic equation in standard form:

x^2 + x - 42 = 0

Now, we can factor. We are looking for numbers that multiply to -42 and add to 1. These numbers are 7 and -6. Factored the equation would be written as followed:

(x + 7)(x - 6) = 0

Using the zero-product property, we can obtain two equations and solve them:

x + 7 = 0

x  = -7

x - 6 = 0

x = 6

Since the side of a rectangle can't be negative, the answer must be 6 yds.

Answer:

64

Step-by-step explanation:

2x2x2x2x2x2 = 64

Answer:

2.5 * 10⁷

Step-by-step explanation:

Answer:

25,000,000

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]sin^2 \ x + sin ^2 \ x + 2cos^ 2\ x = 2\\\\2sin^2 \ x + 2 cos^2 \ x = 2\\\\2 ( sin^2 \ x + cos^2 \ x ) = 2 \\\\2 \times 1 = 2 \\\\2 = 2 \\\\LHS = RHS \\\\Hence \ proved.[/tex]

Answer:

See Explanation

Step-by-step explanation:

(For Diagram please find in attachment)

Since DE∥BC

∴ By Basic Proportionality Theorem,

AD/DB  = AE/EC

​ Since it is Given, AD=DB

∴ AE/EC  =1

∴ AE=EC  (Proved)

Answer: In the end, she has $5400 in total, so she must gain $400 on her investment.

Step-by-step explanation:

8% is 0.08 >>> add 1 to it = 1.08

5000*1.08 = 5400

or the other way to do this is 5000*0.08 = 400 and then 5000+400=5400

Hope this helps!

Answer:

you are posting unvisibile photo pls fix it

Step-by-step explanation:

Step-by-step explanation:

number of bags=8bags

which is the fruits=apples and bananas

total number of apples and bananas bag = 4 bag of each

Answer:

You already post your answer!

Step-by-step explanation:

Maybe you should get two points in order to find midpoint and endpoint!

or you should give other information!

Answer:

every single angle is 90°

Step-by-step explanation:

remember that,

4 angles will form if two lines intersect and the sum of those 4 angles is 360°

we are given the sum of 3 angles i.e 270

so one of the angles should be

[tex] \displaystyle {360}^{\circ} - {270}^{\circ}[/tex]

simplify substraction:

[tex] \displaystyle {90}^{\circ}[/tex]

therefore since one of the angles is 90° the intercepting lines are Perpendicular as a result every single angle formed by the two intercepting lines is 90°

Answer:

90°

Step-by-step explanation:

We know that sum of angle around a point is 360° . Here its already given that sum of three Angles out of 4 is 270°

Therefore :-

Measure of remaining one angle ,

Therefore the measure of the fourth angle is 90°