A triangular prism has bases that are equilateral triangles. Which statements are true about the surface area of the triangular prism? Choose all that apply. A all three rectangular faces have the same surface area
B the surface area of each rectangular face is 66cm2
C the combined surface area of both bases is greater than the surface area of one rectangular face
D the surface area of one base is 15.6cm2

Trig ratios can only be used on right triangles with acute measures.

If given an angle and there are adjacent and opposite sides, then use tan(opposite/adjacent)

If given an angle and there is an adjacent side and a hypotenuse, then use cosine(adjacent/hypotenuse)

If given an angle and there is an opposite and adjacent side, then use sin(opposite/hypotenuse)

A common mnemonic device used to memorize the trig rules is SOH-CAH-TOA

Trig ratios refer to the ratios of sides of a right triangle expressed about an angle. These include sine (sin), cosine (cos), and tangent (tan), as well as their reciprocals cosecant (csc), secant (sec), and cotangent (cot). They are fundamental in many real-world applications, including engineering, navigation, and physics.

The trigonometric ratios are ratios of sides of a right triangle. Specifically, we have the following respected relations between angles and sides: Sine (sin) is the ratio of the length of the side opposite the angle to the length of the hypotenuse. Cosine (cos) is the ratio of the length of the adjacent side to the length of the hypotenuse. Tangent (tan) is the ratio of the opposite side's length to the adjacent side's length. This is also equivalent to sin/cos. Respective reciprocal ratios are: cosecant (csc), secant (sec), and cotangent (cot).

These trig ratios allow us to determine distances, angles, and other aspects within a right triangle or representation of a circle.

For example, suppose we have a right triangle where the angle A is 30°, and the hypotenuse (the side opposite the right angle) is 10. In that case, we can determine the length of the opposite side by using the sin ratio, which is sin(30°) = Opposite/Hypotenuse. Solving, we get Opposite = sin(30°) * 10.

How do these trig ratios apply to real-world examples? Consider a ladder leaning against a wall, creating a right triangle with the ground. With the angle made at the ground and the length of the ladder, we can figure out how high up the ladder reaches on the wall using sin or how far from the base of the ladder's base should be placed using cos.

In conclusion, understanding trig ratios is an essential part of trigonometry and has numerous practical applications in real life, from construction and engineering to navigation and physics.

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Answer:

10

Step-by-step explanation:

1 gallon = 4 quarts

1.5 gallon = 1.5 * 4 quarts = 6 quarts

2 quarts + 2 quarts + 6 quarts = 10 quarts

Answer:

3

Step-by-step explanation:

first turn 9 and 3/4 and make it inproper fraction wich is 27/4

then divide them

Answer:

a

Step-by-step explanation:

Answer:

rational

Step-by-step explanation:

Any rational number can be expressed in the form

[tex]\frac{a}{b}[/tex] where a, b are integers

- 16 can be expressed as

[tex]\frac{-16}{1}[/tex] ← - 16 and 1 are integers

Hence - 16 is rational

Answer:

N\77777

Step-by-step explanation:

Answer:

N\77777

Step-by-step explanation:

Answer: The correct answer is the third choice.

Step-by-step explanation: In order to solve this problem you need to calculate the range of each of the options presented. In order to do this you need to calculate the difference between the highest number and the lowest number. In the third option the lowest number is $942 and the highest number is $1,593. $1,593 - $942 = $651.

The prices my friend found are $942, $1593, $1220, $980.

Range is the difference between the highest and lowest values of a set of observations. Range is a measure of variation.

Range = highest value - lowest value

In order to determine the prices found, we have to determine the range of each option.

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Answer:

[tex]y = x^2 + 6x + 8[/tex]

Step-by-step explanation:

The equation can be written using information from the graph. The vertex of the parabola is (-3,-1). Use the vertex form [tex]y = a(x-h)^2 + k[/tex] by substituting h = -3 and k = -1. The equation becomes [tex]y = a(x--3)^2 + -1[/tex]. It simplifies to [tex]y = a(x+3)^2 - 1[/tex]. To find a, substitute the point (x,y) on the graph into the equation and solve for a. Substitute x = -2 and y = 0.

[tex]0 = a(-2+3)^2 - 1[/tex]

[tex]0 = a(1)^2 - 1[/tex]

[tex]0 = a - 1[/tex]

[tex]1 = a[/tex]

So the equation is [tex]y = (x+ 3)^2 - 1[/tex]. Convert to standard form by distributing the parenthesis and combining like terms.

[tex]y = (x+ 3)^2 - 1\\y = x^2 + 3x + 3x + 9 - 1\\y = x^2 + 6x + 8[/tex]

no, if the each item only occurs once the set will not have a mode. Mode is an item that occurs more number of times in a distribution.

Answer: No

Step-by-step explanation: Unlike the mean and median of a data set, it's completely possible for a data set to have no mode. Remember, the mode is the number that appears most frequently in a data set.

I'll show you an example of a data set that has no mode.

In the image provided, you will see that each of the numbers appear only once. In this situation, we would just write no mode.

Answer:

[tex]\large\boxed{C.\ 9x^3+11x^2}[/tex]

Step-by-step explanation:

[tex]9x^3+8x^2+3x^2\qquad\text{combine like terms}\\\\=9x^3+(8x^2+3x^2)\\\\=9x^3+11x^2[/tex]

Answer:

[tex]400\ cards[/tex]

Step-by-step explanation:

Let

x------> amount of baseball cards Isaac had before he sold

we know that

[tex]14.5\%=14.5/100=0.145[/tex]

so

[tex]0.145x=58[/tex]

Solve for x

[tex]x=58/0.145[/tex]

[tex]x=400\ cards[/tex]

I would say the answer is A

To find the portion of the beaker filled, consider the total volume of the beaker and the volume up to which it is filled. Perform division and multiply by 100 to get the percentage filled.

To determine the portion of the beaker filled, one must first understand the metrics of a beaker. A beaker is a cylindrical container with a flat bottom used to measure liquids. The scale etched on the side of the beaker represents the volume it contains. Suppose the total volume from the bottom up to the line of liquid is 300 mL and the total capacity of the beaker is 500 mL. By performing a simple division, 300 mL divided by 500 mL=0.6. Therefore, approximately 60% of the beaker would be filled. This is an approximate measure and for more accuracy, one should use a graduated cylinder.

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Answer:

A=672 m²

Step-by-step explanation:

a²+b²=c² (to find h)

14²+b²=50²

196+b²=2,500

b²=2,304

√b²=√2,304

b=48

h=48

(base×height)÷2

(28×48)÷2

1,344÷2

A=672 m²

Answer:

x=12

Step-by-step explanation:

Let's solve your equation step-by-step.

3x−x+3+x−5−x=x+10

Step 1: Simplify both sides of the equation.

3x−x+3+x−5−x=x+10

3x+−x+3+x+−5+−x=x+10

(3x+−x+x+−x)+(3+−5)=x+10(Combine Like Terms)

2x+−2=x+10

2x−2=x+10

Step 2: Subtract x from both sides.

2x−2−x=x+10−x

x−2=10

Step 3: Add 2 to both sides.

x−2+2=10+2

x=12

Answer:

x= 12

Step-by-step explanation:

Cancel xx on both sides.

3x-x+3-5-x=103x−x+3−5−x=10

3x-x+3-5-x3x−x+3−5−x to x-2x−2.

x-2=10x−2=10

3 Add 22 to both sides.

x=10+2x=10+2

10+210+2 to 1212.

x=12x=12

47. 12388980384689 would be the exact circumference of a circle witha  diameter of 15 inches :)

Answer: f(-2)= -12

Step-by-step explanation:

f(-2)= 3*2(-2)

f(-2)= 3*(-4)

f(-2)= -12

They wrong the real answer here is 3/4

Answer: Charles Darwin : the father of modern biology. AFP. Charles Darwin , born 200 years ago, put man in his place by including him in the long history of the evolution of species, denying the belief of a divine creation and founding modern biology.

Step-by-step explanation:

the spread of the middle data is called the interquartile range and the left and right twenty five percent data are both called the twenty five percent quartiles

HOPE THIS HELPS

The Interquartile Range (IQR) is the spread of the middle 50% of data. It is found by subtracting the first quartile (Q1) from the third quartile (Q3). A larger IQR indicates more variability within the dataset.

Interquartile Range (IQR)

The spread of the middle 50% of data in a dataset is known as the Interquartile Range (IQR). It is a measure of statistical dispersion and part of the five-number summary commonly used in descriptive statistics. To calculate it, you subtract the first quartile value (Q1) from the third quartile value (Q3). This range covers the middle 50 percent of the data, indicating where the bulk of the values fall and providing a sense of variability. An example based on given data can illustrate where Q1 is at 64.5 and Q3 is at 70, thus the IQR is 70 - 64.5 = 5.5. A larger IQR indicates more variability within the middle portion of the dataset. It is used alongside other descriptive statistics like the median, range, and standard deviation to provide a comprehensive understanding of the data's distribution.

Answer:

acd

Step-by-step explanation:

please give brainly

The Answer is 1, 4, and 5 hope this helps.

A prism is a solid figure that has two parallel congruent sides that are called bases that are connected by the lateral faces that are parallelograms.

Answer:

a prism

Step-by-step explanation:

ap3x

Answer:

D

Step-by-step explanation:

Since the ordered pairs are linear then the slope m between corresponding points will be equal.

To calculate m use the slope formula

m = ( y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (6, 7) and (x₂, y₂ ) = (2, 5)

m = [tex]\frac{5-7}{2-6}[/tex] = [tex]\frac{-2}{-4}[/tex] = [tex]\frac{1}{2}[/tex]

Repeat with (x₁, y₁ ) = (6, 7) and (x₂, y₂ ) = (k, 11)

m = [tex]\frac{11-7}{k-6}[/tex] = [tex]\frac{1}{2}[/tex], that is

[tex]\frac{4}{k-6}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

k - 6 = 8 ( add 6 to both sides )

k = 14 → D

Answer:

x=31

Step-by-step explanation:

4+ sqrt (x+5) = 10

Subtract 4 from each side

4 -4+ sqrt (x+5) = 10-4

sqrt(x+5) = 6

Square each side

(sqrt(x+5))^2 = 6^2

x+5 = 36

Subtract 5 from each side

x+5-5 = 36-5

x = 31

Answer:  b. 31

Step-by-step explanation:

[tex]4+\sqrt{x+5}=10\\\\\sqrt{x+5}=6\\\\(\sqrt{x+5})^2=(6)^2\\\\x+5=36\\\\x=31\\\\\\Check:\\4+\sqrt{(31)+5}=10\\\\4+\sqrt{36}=10\\\\4+6=10\ \checkmark[/tex]

Answer:

(6550)

Step-by-step explanation:

You can put this solution on YOUR website!

Call the number of hardcover and paperback books, h and p.

Thus  

h + p = 8 and the value equation is

4h + 2p = 26

Now multiply the top one by four and subtract from the second one...we get

4h + 2p = 26

-(4h + 4p = 32)

----------------

-2p = -6

p = 3 so that

h = 5   x +  y = 8,    (1)

4x + 2y = 26,   (2)

where x and y are the numbers of hardcover and softcover books respectively.

To solve, multiply the equation (1) by 2 (both sides) and then distract it from the equation (2). You will get

4x - 2x = 26 - 16,   or

2x = 10,   or   x = 5 - the number of hardcover books purchased.

Then from the equation (1) you get y = 3.

Check. 4*x + 2*3 = 4*5 + 2*3 = 26. OK.

Answer:

y=2x

Step-by-step explanation:

Attached, is a picture with all the work!

Answer:

b on edg 2021

Step-by-step explanation:

Answer:

A:Choose the loan with the lowest Annual Percentage Rate (APR).

Step-by-step explanation:

i got it right on imagine math

Answer:

a. 3⁄10 + 6⁄10 = 9/10

b. 1⁄3 + 1⁄4 + 1⁄6 = 3/4

c. 5⁄6 – 3⁄6 = 1/3

d. 2⁄3 – 6⁄10 = 1/15

e. 4⁄10 × 3⁄7 = 6/35

f. 1⁄6 × 6⁄15 = 1/15

g. 1⁄8 ÷ 4⁄9 = 9/32

h. 1⁄5 ÷ 3⁄4 = 4/15

Step-by-step explanation:

a. 3⁄10 + 6⁄10

= 3*1 + 6*1 / 10

= 3+6/10

= 9/10

b. 1⁄3 + 1⁄4 + 1⁄6

since denominators are different we take LCM of 3,4,6 which is 12

= 1*4 + 1*3 + 1*2 / 12

= 4+3+2/12

= 9 ÷ 3 / 12 ÷ 3

= 3 / 4

c. 5⁄6 – 3⁄6

= 5 - 3 / 6

= 2 ÷ 2 / 6 ÷ 2 = 1/3

d. 2⁄3 – 6⁄10

LCM of 3 and 10 is 30

= 2 * 10 - 6 * 3 / 30

= 20 - 18 / 30

= 2 ÷ 2 / 30 ÷ 2 = 1/15

e. 4⁄10 × 3⁄7

= 12 ÷ 2 / 70 ÷ 2 = 6/35

f. 1⁄6 × 6⁄15

= 6 ÷ 6/90 ÷ 6 = 1/15

g. 1⁄8 ÷ 4⁄9

= 1/ 8 * 9/4

=9/32

h. 1⁄5 ÷ 3⁄4

=1/5 * 4/3

= 4/15

a)

[tex]\dfrac{9}{10}[/tex]

b)

[tex]\dfrac{3}{4}[/tex]

c)

[tex]\dfrac{1}{3}[/tex]

d)

[tex]\dfrac{1}{15}[/tex]

e)

[tex]\dfrac{6}{35}[/tex]

f)

[tex]\dfrac{1}{15}[/tex]

g)

[tex]\dfrac{9}{32}[/tex]

h)

[tex]\dfrac{4}{15}[/tex]

a)

[tex]\dfrac{3}{10}+\dfrac{6}{10}[/tex]

Now, this expression could also be given by:

[tex]=\dfrac{6+3}{10}\\\\=\dfrac{9}{10}[/tex]

b)

[tex]\dfrac{1}{3}+\dfrac{1}{4}+\dfrac{1}{6}[/tex]

On taking the least common multiple of the denominator we have:

[tex]L.C.M\{3,4,6\}=12[/tex]

Hence, we have:

[tex]=\dfrac{1\times 4+1\times 3+1\times 2}{12}\\\\=\dfrac{4+3+2}{12}\\\\=\dfrac{9}{12}\\\\=\dfrac{3\times 3}{3\times 4}\\\\=\dfrac{3}{4}[/tex]

c)

[tex]\dfrac{5}{6}-\dfrac{3}{6}[/tex]

Now, this expression could also be given by:

[tex]=\dfrac{5-3}{6}\\\\=\dfrac{2}{6}[/tex]

which on reducing to the lowest terms is given by:

[tex]=\dfrac{1}{3}[/tex]

d)

[tex]\dfrac{2}{3}-\dfrac{6}{10}[/tex]

on reducing the second term we have:

[tex]=\dfrac{2}{3}-\dfrac{3}{5}[/tex]

Now on simplifying the expression we have:

[tex]=\dfrac{2\times 5-3\times 3}{15}\\\\=\dfrac{10-9}{15}\\\\=\dfrac{1}{15}[/tex]

e)

[tex]\dfrac{4}{10}\times \dfrac{3}{7}[/tex]

We know that:

[tex]\dfrac{4}{10}=\dfrac{2}{5}[/tex]

Hence, we have:

[tex]=\dfrac{2}{5}\times \dfrac{3}{7}\\\\=\dfrac{6}{35}[/tex]

f)

[tex]\dfrac{1}{6}\times \dfrac{6}{15}[/tex]

which on simplifying gives:

[tex]=\dfrac{1}{15}[/tex]

g)

[tex]\dfrac{\dfrac{1}{8}}{\dfrac{4}{9}}[/tex]

which is further written as:

[tex]=\dfrac{1\times 9}{4\times 8}\\\\=\dfrac{9}{32}[/tex]

h)

[tex]\dfrac{\dfrac{1}{5}}{\dfrac{3}{4}}[/tex]

which is given by:

[tex]=\dfrac{1\times 4}{3\times 5}\\\\=\dfrac{4}{15}[/tex]

Answer:

Step-by-step explanation:                         1

Note that y = sec x is equivalent to y = ----------

                                                                  cos x

Also note that the range of the cos x function is [-1, 1], which means that there is no x value for which sec x has a zero.  

Answer:

The correct answer option is a) y =2.

Step-by-step explanation:

We are given the following equation and we are to find the solution of this equation:

[tex] | 1 0 - 5 y | = 2 0 [/tex]

Here, the expression [tex]10-5y[/tex] is given in a modulus, which means that its value cannot be negative.

[tex] 1 0 - 5 y = 2 0 [/tex]

[tex] -5 y = 2 0 - 1 0 [/tex]

[tex] -5 y = 1 0 [/tex]

Ignoring the negative sign because of mod.

[tex]y=\frac{10}{5}[/tex]

y = 2

The equation |10-5y| = 20 has two solutions, which are y = -2 and y = 6. These solutions are obtained by considering the two possible scenarios due to the absolute value.

The equation provided is |10-5y| = 20. To solve the equation, we need to consider the absolute value conditions separately. Since absolute value represents distance, it can be equal to the positive or negative of the number within the absolute value. Therefore, we have two cases to solve:

10 - 5y = 20

10 - 5y = -20

Solving the first case:

-5y = 20 - 10
-5y = 10
y = -2

Solving the second case:

-5y = -30
y = 6

Thus, the solutions to the equation are y = -2 and y = 6.

Answer:

[tex]\boxed{\bold{3x+8}}[/tex]

Step By Step Explanation:

Remove Parenthesis: (a) = a

[tex]\bold{x+5+2x+3}[/tex]

Group Like Terms

[tex]\bold{x+2x+5+3}[/tex]

Combine Similar Elements: [tex]\bold{x+2x=3x}[/tex]

[tex]\bold{3x+5+3}[/tex]

Add: [tex]\bold{5+3=8}[/tex]

[tex]\bold{3x+8}[/tex]

➤ [tex]\boxed{\bold{Mordancy}}[/tex]

Answer:

3x + 8

Step-by-step explanation:

x + 5 + 2x + 3

You have to add like terms. You can't add x and 5 or 2x and 3.

x + 2x is like 2x + 2x, so 3x

5 + 3 is 8, so 3x + 8 is the answer.