Solve for the variable: a-9=-5

Step-by-step explanation:

xz = 10

XY = 26

let ZY = x

xyz is a right angle triangle

XY^2 = xz^2 + zy^2

26^2 = 10^2 + x^2

676 = 100 +x^2

√576 = x^2

x = 24

hence ZY = 24

The surface area of the solid is 281 ft².

Given that, a solid figure made of a rectangular prism and a square pyramid,

We need to find its surface area,

To find the same, we will find the lateral surface area of square pyramid, and total surface area of rectangular prism,

So,

Surface area = 2×side×slant height + 2(length·width+width·height+height·length)-base area of the square pyramid,

= 2×5×5 + 2(4·12+12·5+4·5)-5²

= 50+256-25

= 281 ft²

Hence the surface area of the solid is 281 ft².

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Based on the percent of red paint, Casho's purple paint will be redder than Isaiah's.

To determine whose purple paint will be redder based on the percent of red paint, we need to compare the ratios of red paint to the total paint used by Isaiah and Casho.

Isaiah's Ratio:

Isaiah mixes 3 cups of blue paint and 7 cups of red paint, making a total of 3 + 7 = 10 cups of paint.

To calculate the percent of red paint, we divide the amount of red paint (7 cups) by the total amount of paint (10 cups) and multiply by 100 to get the percentage:

Red paint percentage for Isaiah = (7 cups / 10 cups) * 100 = 70%

Casho's Ratio:

Casho mixes 4 cups of blue paint and 13 cups of red paint, making a total of 4 + 13 = 17 cups of paint.

To calculate the percent of red paint, we divide the amount of red paint (13 cups) by the total amount of paint (17 cups) and multiply by 100 to get the percentage:

Red paint percentage for Casho = (13 cups / 17 cups) * 100 = 76.47% (rounded to two decimal places)

Comparing the percentages, we can see that Casho's purple paint will be redder because Casho's paint has a higher percentage of red paint (76.47%) compared to Isaiah's paint (70%).

Therefore, based on the percent of red paint, Casho's purple paint will be redder than Isaiah's.

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Answer:

56 because 5 times 40 is 20 and the total of the rectangular prism is 76

Answer:

x < 7

Explanation:

Given the following sides of a triangle

s1 = 3

s2 = 4

Reqquired

Third side x (hypotenuse)

Using the pythagoras theorem;

x^2 = s1^2 + s2^2

x^2 = 3^2 + 4^2

x^2 = 9+16

x^2 = 25

x = \sqrt{25}

x = 5

Since x is equal to 5, this means we can say that the values of x is less than 7 (x < 7) based on the option

Answer:

I don't understand your question.

Step-by-step explanation:

Please make it clearer.

The required angle m BAC = 45°.

In triangle ABC.
AC represents the foreman’s line of sight to the top of the landfill.
Landfill height is =BC

The triangle is geometric shape which includes 3 sides and sum of interior angle should not grater than 180°

According to conditions angle b = 90°

The sum of angles of a triangle= 180°

That is a + b + c = 180

Therefore, c = a
        a = (180 - b)/2

           = (180 - 90) / 2
           = 90 / 2
           = 45 degrees.

Thus, the required angle m BAC = 45°

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Answer:

m BAC = 35°

Step-by-step explanation:

Answer:

100'000'000'000'000

(trillion gaxies in the universe)

Step-by-step explanation:

10×10^10= 10(10'000'000'000)=100'000'000'000

(hundred billion stars in milky way)

100'000'000'000'000'000'000'000 (hundred sextillion stars in universe)

100'000'000'000'000'000'000'000 / 100'000'000'000= 100'000'000'000'000

(trillion gaxies in the universe)

1. There are two performance obligations in a contract to buy a pair of SunBoots from Clarks Inc: Delivery of Sunboots and Discount Coupon.

2. The journal entry to record the revenue for the sale of 1,000 pairs of SunBoots when Clarks cannot estimate the standalone selling price of a pair of SunBoots sold without a coupon is as follows:

Debit Cash $70,000

Credit Sales Revenue $65,800

Credit Deferred Revenue from Discount Coupon $4,200

(To record the sale of 1,000 pairs of SunBoots, including the discount coupon.)

Performance obligations refer to distinct goods and services agreed to be provided in a contract between the two parties.

Performance obligations arise because each separate goods or services benefit the customer distinctly from others.

In accounting for the revenue or costs, efforts should be geared toward recognizing the activity as soon as they bestow or transfer economic benefits to the buyer.

Selling price per pair = $70

Discount coupon = 30%

Estimated percentage of customers who will utilize the coupon = 20%

The number of SunBoots sold = 1,000

Cash $70,000 Sales Revenue $65,800 Deferred Revenue from Discount Coupon $4,200 ($70,000 x 30% x 20%)

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Answer: Before Tax Price: $363.99

Sale Tax: 9.00% or $32.76

After-Tax Price: $396.75

Answer:

the relative growth rate k = ln( 8 )

Step-by-step explanation:

Given the data in the question;

Initial population = 61 cells

which divides into two cells every 20 minutes;

Now.

dy/dt = ky

where y(t) = y(0) \(e^{kt\)

y(t) is the population of bacteria

t is time in hours

y(0) is initial population

we know that, Initial population y(0) = 61

time t = 20 min = ( 20 / 60 )hr = 1/3 hr

so, y(1/3) = 2( 61 ) = 122

Now,

y(t) = y(0) \(e^{kt\)

y(1/3) = 61 \(e^{k\frac{1}{3}\)

122 = 61 \(e^{k\frac{1}{3}\)

divide both sides by 122

2 = \(e^{k\frac{1}{3}\)

ln(2) = k × 1/3

k = 3ln(2)

k = ln( 2³ )

k = ln( 8 )

Therefore, the relative growth rate k = ln( 8 )

Answer:

B

Step-by-step explanation:

In the attached file

Answer:

A. ∆ABD ≅ ∆CDB by the SAS Postulate.

Step-by-step explanation:

You know lines AB and DC are congruent because of the lines on each. Additionally, angles B and D are congruent for the alternative interior angles rule and they also are marked as congruent in the image. Finally, DB is congruent to DB because of the reflexive property. So you have two sides and the included angle, this makes the SAS postulate true.

Answer:

the answer is A

Step-by-step explanation:

Answer:

3.99s + 15.20 = 95.00

Step-by-step explanation:

you would put 's' next to the 3.99 because that's what your multiplying or having more than 1 of, then you would add the 15.20 because it's just a one time delivery fee.

Answer:

The answer is 20

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form: s≥20

Interval Notation: [20,∞)

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Answer:

It is not a integer, it is a rational number

Answer: No, this isn't. An integer is any whole number, positive or negative. Having extraneous digits to the right of the decimal other than zero, radicals or any fractions are excluded from being considered an integer. Integers, for example, are 2, 85, -923, etc. Hope this helps!

Step-by-step explanation:

Answer:

\(x = -\frac{Hy + K}{A}\)

Step-by-step explanation:

Step 1: Add -Hy to both sides.

Step 2: Divide both sides by A.

Answer:

A.

Step-by-step explanation:

The vertical line test is a way of finding out if a relation is a function.

Graph the relation.

Then imagine a vertical line moving from left to right over the graph of the relation.

If the vertical line intersects at most one point of the graph in any position you place the vertical line, then the relation is a function.

This function passes the vertical test since it never intersects more than one point on the vertical line at a time.

Answer: A.

The required ordered pair (x,y) = (3,4) is a solution to the given equation -x+2y=5.

To determine an ordered pair that is a solution to the equation -x+2y=5, we can first solve for y in terms of x by moving all of the terms that contain x to one side of the equation and all of the terms that do not contain x to the other side. We can do this by adding x to both sides of the equation:

-x + 2y = 5

x + (-x) + 2y = 5 + x

2y = 5 + x

Next, we can divide both sides of the equation by 2 to solve for y in terms of x:

2y = 5 + x

y = (5 + x)/2

Now that we have solved for y in terms of x, we can plug in any value of x that we choose to find the corresponding value of y.

For example, if we plug in x = 3, we get:

y = (5 + 3)/2

y = 8/2

y = 4

Therefore, the ordered pair (x,y) = (3,4) is a solution to the equation -x+2y=5.

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Answer:

C)  I, III, IV, II

Step-by-step explanation:

Convert each number into a decimal:

\(\textsf{I.} \quad \dfrac{58}{67}=0.86567...\)

\(\textsf{II.} \quad 0.58\%=\dfrac{0.58}{100}=0.0058\)

\(\textsf{III.} \quad 58\%=\dfrac{58}{100}=0.58\)

\(\textsf{IV.} \quad 5.8\%=\dfrac{5.8}{100}=0.058\)

Comparing the tenths of all the numbers, 8 is the biggest tenth, so 58/67 is the largest number.

The next biggest tenth is 5, so 58% is the next largest number.

The two remaining numbers have zero tenths, so compare their hundredths. 5 is the largest hundredth, so 5.8% is the next largest number.  Therefore, 0.58% is the smallest number.

Therefore, the given set of numbers in order from greatest to least is:

Answer:

c) I, III, IV, II

Step-by-step explanation:

Values of l, ll, lll & lV respectively,

→ 58/67, 0.58%, 58%, 5.8%

→ 0.87, 0.0058, 0.58, 0.058

Arranging them in descending order,

→ 0.87 > 0.58 > 0.058 > 0.0058

→ 0.87, 0.58, 0.058, 0.0058

→ l, lll, lV, ll

Hence, the option (c) is correct.

Step-by-step explanation:

The coordinates and vertices

which reflected over the y- axis are

r(-2,0) , s(2,-3) , and t(2,3).

The Value of CD from the second equation into the first equation:2AC = AB + OC + OD⇒ 2AC = AB + AB (By substituting OC = OA and OD = OB)⇒ 2AC = 2AB⇒ AC Therefore, AC is Congruent to c .

Since AC and BD bisect each other at O, we can say that AO = OC and BO = OD.

We need to prove that AC = CD.To do this, we can use the segment addition postulate which states that if a line segment is divided into two parts, the length of the whole segment is equal to the sum of the lengths of the two parts.

Let us draw a diagram to represent the given information:From the diagram, we can see that:AO + OB = AB (By segment addition postulate)OC + OD = CD (By segment addition postulate)AO = OC (Given)BO = OD (Given)

Now, we can substitute the values of AO and OC as well as BO and OD into the equations above:AO + OB = AB ⇒ OC + OB = AB (Substituting AO = OC)OC + OD = CDNow, we can add both equations:OC + OB + OC + OD = AB + CD ⇒ 2(OC + OD) = AB + CDWe know that OC = AO and OD = BO.

Therefore, we can write:2(AO + BO) = AB + CDSince AO = OC and BO = OD, we can write:2(OA + OD) = AB + CDNow, substituting AO = OC and BO = OD, we can write:2AC = AB + CD

Finally, we can substitute the value of CD from the second equation into the first equation:2AC = AB + OC + OD⇒ 2AC = AB + AB (By substituting OC = OA and OD = OB)⇒ 2AC = 2AB⇒ AC

Therefore, AC is congruent to c .

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Answer:

D. X > 43

Step-by-step explanation:

You do not know the number of waffle cones sold yesterday, so let's make that the X.

The question says "sold more than 43" so we need an X and a 43.

But which sign to use?

The question says "more than 43" so that means X is bigger

The alligator > wants to eat the bigger number, so you use:

X > 43

Answer:

x > 43

Step-by-step explanation:

Given:

Height of the cylindrical pillar = 9 cm

Volume = 324π cm³

Recall,

Area of the circle (Base of the cylindrical pillar):

Volume of a cylinder:

In other words, the formula for the pillar's volume will be:

Where,

r = radius

h = height of the pillar

Thus, we get:

ANSWER: 36π cm²

Answer:

12:38

3:8

24:44

Step-by-step explanation:

al the numbers are multiples equally

Answer:

3:8

Step-by-step explanation:

i dont know how

how i just know

Work Shown:

x = total length

12.5% of x = 0.125x = 25 cm

0.125x = 25

x = 25/(0.125)

x = 200 cm

This is equivalent to 2 meters. I'll keep the final answer in cm to keep the units consistent.