re-arrange the formula to solve for h :
A=bh
2

Answer:

[tex]x\leq 76[/tex]

Step-by-step explanation:

Let x = unknown number

[tex]\implies \dfrac89 \times (x-4)\leq 64[/tex]

[tex]\implies \dfrac{8(x-4)}{9}\leq 64[/tex]

Multiply both sides by 9:

[tex]\implies 8(x-4)\leq 576[/tex]

Expand brackets:

[tex]\implies 8x-32\leq 576[/tex]

Add 32 to both sides:

[tex]\implies 8x\leq 608[/tex]

Divide both sides by 8:

[tex]\implies x\leq 76[/tex]

Let the number be x

[tex] \sf \frac{8}{9} (x - 4) \leqslant 64[/tex]

Note that

Solve the equation for x ~

[tex] \sf \: x - 4 \leqslant 72[/tex]

[tex] \sf \: x \leqslant 72 + 4[/tex]

[tex] \boxed{ \tt \: x \leqslant 76}[/tex]

Answer:

x = -8, x = 8

Step-by-step explanation:

|x| = 8

The absolute value turns the negative value inside the positive.

When given an absolute value like this, there are two cases.

If the absolute value is equal to something greater than 0, it has two solutions. If less than 0, it has no solutions. If it is equal to 0 it has 1 solution.

Since 8 is greater than 0, there are two solutions.

On solution is the positive version, one is the negative

So:

-Chetan K

Solution:

Note that:

This can lead to two solutions:

Rotating and translating the triangle are illustrations of transformations

The ordered pairs for A', B' and C' are (-1, -8), (2, -7) and (-4, -5)

The coordinates of the pre-image of the triangle are:

A = (1, 3)

B = (-2, 2)

C = (4, 0)

When the triangle is rotated 180 degrees, the rule of transformation is:

(x,y)→(−x,−y)

So, we have:

A' = (-1, -3)

B' = (2, -2)

C' = (-4, 0)

When the triangle is translated 5 units down, the rule is:

(x,y)→(x,y-5)

So, we have:

A' = (-1, -8)

B' = (2, -7)

C' = (-4, -5)

Hence, the ordered pairs for A', B' and C' are (-1, -8), (2, -7) and (-4, -5)

Read more about transformation at:

https://brainly.com/question/4289712

Replace x. Solve then find the scale.

2 x 3^5 = 486

2 x 3 ^6 = 1,458

scale = 1458/486 = 3

answer: f(x) increases by a factor of 3

Answer: 45.1

Step-by-step explanation:

The area of the figure is about 45 square cm.

A triangle is a polygon with 3 sides.

Given the quadrilateral ABCD.

The sum of the interior angles of a triangle is 180°, therefore,

44° + 38° + m∠C = 180°

m∠C = 180° - 44° - 38°

m∠C = 98°

Now, using the sine law in triangle BDC, it follows:

sin44°/ BC = sin98°/10

BC = (10·sin44°)/ sin98°

BC ≈ 7

The area of a triangle is half the product of its two sides and the sine of the included angle, therefore, the area of triangle BDC is:
A₁ = (1/2)× 10×7× sin38°

A₁ = 21.5

Now, in triangle ABD,

cos55° = AD/10

AD = 10 cos55°

Similarly,

sin55° = AB/10

AB = 10sin 55°

Hence, the area of the triangle ABD is:

A₂ = (1/2) × (10 cos55°) ×(10sin 55°)

A₂ = 23.5

Therefore, the total area of the figure is:

A = A₁ + A₂

A = 21.5 + 23.5

A = 45.0

Hence, the area of the figure is about 45 square cm.

Learn more about triangles here:

https://brainly.com/question/2773823

#SPJ2

I'm no expert at this I looked up some of these so on some that don't feel right, PLS look them up.

Question 1.

A.

Question 2.

A.

Question 3.

B.

Question 4.

C.

Question 5.

A.

Question 6.

D.

Question 7

C.

Question 8

B.

Question 9.

A.

Question 10.

B.

Answer:

Step-by-step explanation:

The decrease is found by multiplying the original amount by the percentage decrease:

  $6600 × 28.5% = $6600 × 0.285 = $1881

Jose's account decreased by $1881.

__

The remaining value is the original amount, less the amount of decrease.

  $6600 -1881 = $4719

At the end of last year, Jose had $4719 in his investment account.

[tex]\huge\sf\blue{Solution:-}[/tex]

Here is a Parallelogram RSTU.

Given,

Height = 16.5 inches

Base = 15.3 inches

★Area of Parallelogram is = Base × Height

So, Area = 15.3 × 16.5 => 252.45 inches² or 252.5 inches²

________________________________________

Answer:

252.5

Step-by-step explanation:

{Be careful}

The area: [tex]15.3\times16.5\times\frac{1}{2}\times2[/tex]

[tex]=252.5[/tex] inches²

I hope this helps you

:)

1.9 and 0.7 because you have to add 0.6 and 1.3 to get one of the numbers and you have to subtract 0.6 from 1.3 to get the other number

Answer:

12 x 22 = 264 so that would be 264 - 246 = 18

The answer is 18 square feet.

Step-by-step explanation:

You'll need to simplify 18/264, then divide that number into 18/264 such as 18/264 divided by 2/2 or 3/3.

I hope I helped! ^-^

Answer:

117

Step-by-step explanation:

supplementary angles should add up to 180, and 117+63=180!

hope that helps :))

Answer:

117

Step-by-step explanation:

the supplement of 63 degrees is the angle measurement that makes is a straight line (180)

so 180-63=117

so your answer would

117 degrees

Answer:

The area of rectangle is sq mi

hope its help

Answer:

add 23 plus 67

Step-by-step explanation:

hieo thanks again

Answer:

The first is 12

The second is 25.35

Step-by-step explanation:

The second is confusing so sorry if I got that wrong

Please give brainelest

Answer:

7 minutes = 3.5 miles

Step-by-step explanation:

Firstly,you have to divide 10 to 5 then you get 2 mins 1 mile.After that,you must divide 7 to 2 then you get 3.5 miles. Hope this will help you!

Answer: Choice C

This is conducting a simple random sample (SRS) which is often the most effective way to form a sample. The other methods have some kind of bias to them, which means the sample won't represent the population.

Answer:

20

Step-by-step explanation:

firstly let's find out the side lengths of the triangle using formula

[tex]length \: = \: \sqrt{(y₂-y1) + ( y₂-y1)}[/tex]

length of AB

[tex] \sqrt{( - 6 - 2) {}^{2} + ( - 4 - 1) {}^{2} } = \sqrt{89} [/tex]

length of AC

[tex] \sqrt{( - 6 - 2) {}^{2} + (1 - 1) {}^{2} } = 8[/tex]

length of BC

[tex] \sqrt{( - 6 - ( - 6)) {}^{2} + (1 - ( - 4)) {}^{2} } = 5[/tex]

Now we have all three side lengths:

a =√89 b = 8 and c = 5

using this formula to find the semi perimeter where a, b and c are the side lengths, input them in

[tex]s \: = \: \frac{a + b + c}{2} [/tex]

[tex]s = \frac{ \sqrt{89} + 8 + 5 }{2} = \frac{13 + \sqrt{89} } {2} [/tex]

Use heron's formula

[tex]area = \sqrt{s(s - a)(s - b)(s - c)} [/tex]

[tex]area = \sqrt{ \frac{13 + \sqrt{89} }{2}(\frac{13 + \sqrt{89} }{2} - \sqrt{89})( \frac{13 + \sqrt{89} }{2} - 8)(\frac{13 + \sqrt{89} }{2} - 5 } = 20[/tex]

area = 20

Answer:

89,820,057,600.

Step-by-step explanation:

For the number of ways 5 cards can be taken from a standard 52 card deck, there are 52 choices for the first card. After the first card is chosen, there are 51 choices remaining for the second card. Following this pattern, you will the total number of ways the 5 cards can be chosen being 52 x 51 x 50 x 49 x 48 = 311,875,200. Or, you can also use the permutation of 52 cards taken 5 at a time which is 52!/(52 – 5)! = 311,875,200.

Hence, the total number of outcomes for all the above is 8 x 36 x 311,875,200 = 89,820,057,600.

Answer:

4x³ +2x² + 2x

Step-by-step explanation:

1- Determine the sign

2- Combine like terms

Answer:

$16.5

Step-by-step explanation:

Let one bag of dog food be x. 3x is equal to 8.25, and we are trying to figure out what 6x is. 6x is double 3x, so we need to double 8.25, which is 16.5.

Answer:

16.5

Step-by-step explanation:

8.25+8.25 =16.25 because 8.25 is 3 bags of food it says.

Check the picture below.

These are just sketches, you should polish them yourself. In analogy to relations, I will write aFb to mean the statement f(a) = b.

(a) aFa, so f(a) = a. This is the definition of the identity function.

(b) aFb => bFa, so f(a) = b and f(b) = a. Therefore f(f(a)) = a by substitution, and hence f^2 is the identity function.

(c) aFb and bFc => aFc. So f(f(a)) = c, and f(a) = c. Thus f(c) = c, which is the identity. Make sure you sort out the im(F) stuff when you clean this up.

Answer:

[tex]h(x)=-5x^2+10x-2[/tex]

Step-by-step explanation:

[tex]h(x) = -5 (x - 1)^2 + 3\\\\\implies h(x) = -5 (x - 1)^2 + 3\\\\\implies h(x)=-5(x^2-2x+1)+3\\\\\implies h(x) = -5x^2+10x-5+3\\\\\implies h(x)=-5x^2+10x-2[/tex]

I don't have ideas about it

Answer:

D

Step-by-step explanation:

When we simplify the numbers below:

|-5.1| = 5.1

[tex](-2)^{3}[/tex] = -8

[tex]-\sqrt{24}[/tex] = -4.8

[tex]\sqrt{24}[/tex]= 4.8

[tex]-\sqrt{60}[/tex] = -7.7

When we line the decimals from least to greatest we get:

-8, -7.7, -4.8, 4.8, 5.1

Leaving D the correct answer

[tex](-2)^{3},-\sqrt{60},-\sqrt{24}, \sqrt{24}, |-5.1|\\[/tex]

Answer:

He has 7 ¾ gallons of lemonade left

Answer:

3.72

Step-by-step explanation:

If you do 1.2 x 3.1 you get 3.72

Answer:

a = 200 + 0.253 * 50 = 212.65

So the value of height that separates the bottom 60% of data from the top 40% is 212.65. And rounded would be 212.

Step-by-Step Explanation:

The normal distribution is a "probability distribution that is symmetric around the mean, demonstrating that data near the mean occur more frequently than data distant from the mean."

The Z-score is defined as "a numerical measurement used in statistics of a value's relationship to the mean (average) of a set of values, expressed in standard deviations from the mean."

Let X be the random variable that represents how a loan officer scores credit applications from a population, and we know that the distribution for X is provided by:

X ~ N (200,50)

Where u = 200 and o = 50

And the best way to solve this problem is using the normal standard distribution and the z score given by:

Z = x - u/o

For this part we want to find a value a, such that we satisfy this condition:

P (X > a) = 0.40 (a)

P (X<a) = 0.60 (b)

In this example, both conditions are equal.

The z value that meets the criterion with 0.60 of the area on the left and 0.40 of the area on the right is z=0.253, as shown in the attached figure. P(Z0.253)=0.60 and P(z>0.253)=0.4 in this scenario.

Using the prior condition (b), we get:

P (X < a) = P (X-u/a < a - u/o) = 0.6

P (Z < a-u/o) = 0.6

But we know which value of z satisfy the previous equation so then we can do this:

z = 0.253  < a -200/50

And if we solve for a we got

a = 200 + 0.253 * 50 = 212.65

So the value of height that separates the bottom 60% of data from the top 40% is 212.65. And rounded would be 212.7.  

Answer:

48 in

Step-by-step explanation:

use Pythagorean Theorem to find x:

12²+16²=x²

144+256=x²

x²=400

x=20

12+16+20=48