Question is done below. Just multiple sqrts inside of each other.

Answer:

∠Q≅∠F

Step-by-step explanation:

Two triangles are said to be congruent if all the three sides of the triangles are equal and all the three angles are equal.

Given that: In triangle DEF, DE=8 in., DF=23 in., and ∡D=16°. In triangle PQR, PQ=23 in., PR=8 in., and ∡P=16°.

Hence we can say that ΔDEF is congruent to ΔPQR. According to the side-angle-side (SAS) triangle congruence theorem: If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Therefore:

DF = PQ, DE = PR, EF = RQ, ∠D = ∠P, ∠E = ∠R and ∠F = ∠Q

Answer:

its d

Step-by-step explanation:

the number 30 is not listed in the problem there that is info that is not there

Answer:

Hello,

|FD|=15

Step-by-step explanation:

Since the triangles are similar, the bissects are also.

k*35=21 ==> k=21/35

k*25=|FD|

|FD|=(21/35)*25=15

Answer: 584 yds

Step-by-step explanation:

3mi-3mi=0

1622-1038=584yds

Answer:

1942

Step-by-step explanation:

31072 / (2^4) = 31072

Hope This Helped

Question

What is 131072 divided by 2 to the power of 4?

Solution in steps:

Answer:

The 46th term of the sequence is 324.

We have,

To find the 46th term of the sequence, we need to determine the pattern or rule that generates the terms.

Since the difference between consecutive terms is a constant value of 7, we know that this is an arithmetic sequence with a common difference

of 7.

To find the 46th term, we can use the formula for the nth term of an arithmetic sequence:

a(n) = a(1) + (n - 1) d

where a(1) is the first term, d is the common difference, and n is the term number we want to find.

Using the given information, we have:

a(1) = 9

d = 7

n = 46

Plugging these values into the formula, we get:

a (46) = 9 + (46 - 1)7

a (46) = 9 + 45 (7)

a(46) = 9 + 315

a(46) = 324

Therefore,

The 46th term of the sequence is 324.

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The probability of getting a number greater than 5 is = 1/6

Option (b) is correct.

The number of ways of achieving success. the total number of possible outcomes. For example, the probability of flipping a coin and it being heads is ½, because there is 1 way of getting a head and the total number of possible outcomes is 2 (a head or tail). We write P(heads) =0.5.

Die with numbers; 1,2,3,4,5,6

A number greater than 5 on the dice

A number greater than 5 is,6 out of which only one Number appears while throwing dice

So, using the formula :

probability(number greater than 5)= favorable outcome/ total number of outcomes

The probability of getting a number greater than 5 is = 1/6

The complete question is -

The probability of getting a number greater than 5 in throwing a die is

a) 1/3

b) 1/6

c) 3/4

d) 2/3

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Answer:

Your answer is 5/18

Step by step Explanation:

8/9 × 16/5

When we divide it becomes reverse so,

8/9 × 5/16 = 5/18.

Answer:

D, E and F

calculating the volume of regular bodies like prims works by multiplication alone.

you need some addition for surface area and for more complicated bodies that when the volume can't be calculated in one step

Answer:

(0,2)

(3,0)

Step-by-step explanation:

Answer:

d) 1/12

Step-by-step explanation:

Answer:

thank you sm!

Step-by-step explanation:

I hope you have a good day / night ^^

☁️☁️☁️☁️☁️☁️☁️☁️☁️☁️☁️☁️☁️☁️

The answer to the equation −0.22x + x − 0.33x is 0.11x.

The answer is 0.11x. To solve this, we can start by rearranging the terms of the equation. The equation can be written as:

−0.22x + x − 0.33x = −0.22 + 0.33x

We then subtract x from both sides of the equation, resulting in:

−0.22x − x = −0.22 + 0.33x − x

We then combine like terms on the left side of the equation, resulting in:

−1.22x = −0.55

Finally, we divide both sides of the equation by -1.22 to solve for x, resulting in:

x = 0.11

Therefore, the answer is 0.11x.

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Complete question

What is the value of -0.22+−0.33−0.22x+x−0.33x?

Q 1.

Total Candles to Pack = 142

Already Packed = 3 box with 8 candles in each, that is 3 * 8 = 24 candles

From 142, 24 has already been packed. So, the remaining candles for packing is:

142 - 24 = 118 candles

Answer: 118 candles

Answer:

73

Step-by-step explanation

Okay, here we have this:

Considering the provided graph, we are going to find the requested measure, so we obtain the following:

Let us remember that a rectangle besides having the properties of a parallelogram also stands out because it has congruent diagonals. So considering this we have:

BD=EC

EF=BF

EF=22

Finally we obtain that EF is equal to 22 units.

The 0.0035 hr⁻¹ first-order degradation rate constant in the 40 °C, 1.0 mg/ml solution, where R = 1.987 cal/mol/degree and 2,000 cal/mol activation energy indicates;

a. The rate constant for first-order degradation of N₂O₂ at room temperature is approximately 4.12595 × 10⁻² hr⁻¹

A first order reaction is one that has a rate that varies linearly with the concentration of one reactant

The given parameters are;

Temperature of the solution = 40°C

T₁ = 40 °C + 273.15 = 313.15 K

The rate constant, K₁ = 0.00351 hr⁻¹

Concentration of the solution = 1.0 mg/ml

Activation energy, Eₐ = 2000 Cal/mol

R = 1.987 cal/mol/degree

The formula by which the rate constant can be found is presented as follows;

\(log\dfrac{k_2}{k_1} =\dfrac{E_a}{2.303\times R} \times \dfrac{T_2-T_1}{T_1\cdot T_2}\)

a. Room temperature = 25 °C

T₂ = 25 °C + 273.15 = 298.15 K

Therefore;

\(log\dfrac{k_2}{0.00351} =\dfrac{2000}{2.303\times 1.987} \times \dfrac{313.15-298.15}{313.15 \times 298.15}\)

\(k_2=0.00351 \times 10^{\left(\dfrac{2000}{2.303\times 1.987} \times \dfrac{313.15-298.15}{313.15 \times 298.15}\right)} \approx 4.12595\times 10^{-2}\)

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Answer:

224

Step-by-step explanation:

360.-136.

Answering the presented question, we may conclude that This greater expressions scale makes it easier to see the variations between the ratings of the three college students in a extra correct and informative way.

In mathematics, an expression is a collection of integers, variables, and complex mathematical (such as arithmetic, subtraction, multiplication, division, multiplications, and so on) that describes a quantity or value. Phrases can be simple, such as "3 + 4," or complicated, such as They may also contain functions like "sin(x)" or "log(y)". Expressions can be evaluated by swapping the variables with their values and performing the arithmetic operations in the order specified. If x = 2, for example, the formula "3x + 5" equals 3(2) + 5 = 11. Expressions are commonly used in mathematics to describe real-world situations, construct equations, and simplify complicated mathematical topics.

The difference in look between the two charts is due to the choice of the scales on the x and y-axes. In the left chart, the y-axis starts offevolved at 800 and has a range of only 200 points, whilst the x-axis starts offevolved at 1300 and has a vary of 200 points. This compressed scale makes the variations between the ratings of the three students appear larger than they absolutely are.

On the other hand, the proper chart has a y-axis that starts at zero and has a vary of 800 points, whilst the x-axis begins at 1200 and has a range of 800 points. This greater expanded scale makes it easier to see the variations between the ratings of the three college students in a extra correct and informative way.

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Answer:

-35

Step-by-step explanation:

In the number line, -35 comes before -64 and -35 is nearer to zero than -64. so -35 is your ans.

Thanks.

Answer:

Step-by-step explanation:  40000 is closer than 39000 to 39760 and therefore is the closest thousand to 39760.

Answer:

x ≈ 5.4 feet

Step-by-step explanation:

using Pythagoras' identity in the right triangle

the square on the hypotenuse x is equal to the sum of the squares on the other 2 sides.

horizontal leg = 5 units = 5 feet

vertical leg = 2 units = 2 feet

Then

x² = 5² + 2² = 25 + 4 = 29 ( take square root of both sides )

x = \(\sqrt{29}\) ≈ 5.4 feet ( to the nearest tenth of a foot )

Answer:

5040

Step-by-step explanation:

7*6*5*4*3*2*1=5040

The correct number of different 7-person committees that can be made is,

⇒ 5,040

A combination is a technique to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Given that;

7 students from a class of 10 are going to be chosen to be on the dance committee.

Hence, the number of different 7-person committees that can be made is,

⇒ 7!

⇒ 7 × 6 × 5 × 4 × 3 × 2 × 1

⇒ 5,040

Thus, The correct number of different 7-person committees that can be made is,

⇒ 5,040

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a. It represents the spread of the middle 50% of the data.

b. At least 50% of the students scored between 80 and 86.

c. Overall, we can say that the Math 6 class had a range of test scores, with some students performing very well and others performing less well.

How evenly distributed the middle 50% of the data is is determined by the interquartile range. In order to calculate it, the first quartile is subtracted from the third quartile.

A. The interquartile range (IQR) in a box-and-whisker plot is the distance between the first quartile (Q1) and the third quartile (Q3) of the data. It represents the spread of the middle 50% of the data.

B. To determine what percent of the students got 80% or higher, we need to find the upper fence, which is defined as 1.5 times the IQR above Q3. From the box-and-whisker plot, we can see that Q3 is approximately 86 and Q1 is approximately 71. Therefore, the IQR is 86 - 71 = 15. The upper fence is 1.5 * 15 + 86 = 108.5.

Looking at the plot, we can see that there are no data points above 100, so we can safely assume that no students scored above 100%. The highest score is 94, which is within the whiskers of the box-and-whisker plot. Therefore, we know that the percent of students who scored 80% or higher is between the percent of students who scored 80% or higher and the percent of students who scored 94% or higher.

From the plot, we can see that the median is approximately 80 and the third quartile (Q3) is approximately 86. This means that at least 50% of the students scored between 80 and 86. Additionally, we know that the maximum score is 94, so we can say that at least some students scored higher than 86. However, we don't know how many students scored between 86 and 94.

C. Based on the interquartile range, we can say that the middle 50% of the students scored between approximately 71 and 86. This suggests that there is a significant amount of variability in the test scores, as the range is quite wide. Additionally, we know that at least some students scored above 86, but we don't have enough information to determine how many or how high their scores were. Overall, we can say that the Math 6 class had a range of test scores, with some students performing very well and others performing less well.

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Answer:

The monthly fee is $25, plus the installation fee

Step-by-step explanation:

685 - 85 = 600

1 yr = 12 months

so 24 months

600 / 24 = 25

Answer:

this list

Step-by-step explanation:

1×12000=12000

2×6000=12000

3×4000=12000

4×3000=12000

5×2400=12000

6×2000=12000

8×1500=12000

10 ×1200=12000

12 ×1000=12000

Answer:

Hello,

Answer is (x+1)(x+3)(2x+1)

Step-by-step explanation:

\(p(x)=2x^3+9x^2+10x+3\\p(-1)=2*(-1)^3+9*(-1)^2+10*(-1)+3=-2+9-10+3=0\\p(x)\ is\ divisible\ by\ (x+1)We\ arrange\ to\ put\ a\ factor\ of\ x+1\\\\2x^3+9x^2+10x+3\\\\=2x^3+2x^2+7x^2+7x+3x+3\\\\=2x^2(x+1)+7x(x+1)+3(x+1)\\\\=(x+1)(2x^2+7x+3)\\\\=(x+1)(2x^2+6x+x+3)\\\\=(x+1)(2x(x+3)+1(x+3))\\\\=(x+1)(x+3)(2x+1)\\\)

Answer:

x = 58 degrees

Step-by-step explanation: