A pyramid with a slant height 4.6 in whose triangular base measures 8 in on each side.Each altitude of the base measures of 6.9 in

Answers

Answer 1

Answer:

82.8 in²

Step-by-step explanation:

The surface area a triangular based pyramid :

Base area + 1/2(perimeter * slant height)

Base = 8 inches ; Slant height = 4.6 inches ; altitude of base measure = 6.9 inches

Base area of triangle :

1/2 * base * height

1/2 * 8 * 6.9

4 * 6.9

Base area = 27.6 in²

The perimeter, P = sum of sides ; (s1 + s2 + s3

P = 8 + 8 + 8 = 24 in

Hence,

Surface area = 27.6 in² + 1/2(24*4.6)

Surface area = 27.6 in² + (12 * 4.6) in²

Surface area = (27.6 + 55.2)

Surface area = 82.8 in²

A Pyramid With A Slant Height 4.6 In Whose Triangular Base Measures 8 In On Each Side.Each Altitude Of

Related Questions

help please need done today

Answers

Answer:

77 ft.

Step-by-step explanation:

7*8+7*3=77

it is 77 feet i’m sure

Which statement is true? Only some rectangles are parallelograms. Parallelograms have 2 pairs of parallel sides. Therefore, only some rectangles have 2 pairs of parallel sides. All rectangles are parallelograms. Parallelograms have exactly 1 pair of parallel sides. Therefore, all rectangles have exactly 1 pair of parallel sides. Only some rectangles are parallelograms. Parallelograms have exactly 1 pair of parallel sides. Therefore, only some rectangles have exactly 1 pair of parallel sides. All rectangles are parallelograms. Parallelograms have 2 pairs of parallel sides. Therefore, all rectangles have 2 pairs of parallel sides.

Answers

Answer:

STATEMENT NO. 4 IS CORRECT.

Step-by-step explanation:

Because every rectangle has two pair of parallel lines so it can be called a parallelogram.

Arrange the matrices in increasing order of their determinant values.

Answers

Answer:

c, a, b

Step-by-step explanation:

Given

See attachment for matrices

(a)

[tex]D = \left[\begin{array}{cc}\cos\theta &\sin\theta\\ -\sin\theta& \cos\theta\\\end{array}\right][/tex]

The determinant of the matrix is:

[tex]|D |= (\cos\theta * \cos\theta - \sin\theta *- \sin\theta)[/tex]

[tex]|D | = \cos^2\theta + \sin^2\theta[/tex]

Using trigonometry ratio, we have:

[tex]|D | = 1[/tex]

(b)

[tex]\left[\begin{array}{ccc}2&0\\0&2\end{array}\right][/tex]

The determinant of the matrix is:

[tex]|D| = 2 * 2 - 0 * 0[/tex]

[tex]|D| = 4 - 0[/tex]

[tex]|D| = 4[/tex]

(c)

[tex]\left[\begin{array}{ccc}0&i\\-i&0\end{array}\right][/tex]

The determinant of the matrix is:

[tex]|D| = 0 * 0 -(-i * i)[/tex]

[tex]|D| = 0 +i^2[/tex]

[tex]|D| = i^2[/tex]

In complex numbers

[tex]i^2 = -1[/tex]

So:

[tex]|D| = -1[/tex]

So, the order of the determinants is: c, a, b

Help please I don’t understand

Answers

Answer: 2/3

Step-by-step explanation:

there are 24 pets total (count all of the dots on the plot)

16 students have 2 or more pets (count the dots from point 2 until 6)

your fraction is 16/24

16/24 is 2/3 simplified

hope this helps

What is every way to write a ratio?​

Answers

Answer:

Step-by-step explanation:

AN Example of every way to write a ratio is:

3 to 63:63/6  

which one you choose will depends on the problem or situation

What is the value of X in the triangle shown?

Answers

Answer:

Step-by-step explanation:

take 45 degree as reference angle

using sin rule

sin 45=opposite/hypotenuse

1[tex]\sqrt{2}[/tex]=x/16

x=16/[tex]\sqrt{2}[/tex]

x=8[tex]\sqrt{2}[/tex]

please help!! 20 points. if you guess or just comment something to take points i will have you reported and make sure your account gets banned, thanks! i want a explanation pls

Answers

Answer:

x=5

Step-by-step explanation:

to find volume: length x width x height

the first rectangular prism volume: 15*5*5= 375 in³

because they have the same volume, you would set the other rectangular prism equal to 375: 25*3*x=375

75*x=375

divide both sides by 75: x=5

HELP ME THANKS +×+

Applying the Pythagorean theorem, Find the measure of the hypotenuse of a right triangle with legs of 11 inches and 60 inches.​

Answers

Answer:

[tex]hypotenuse = \sqrt{ {height}^{2} + {adjacent}^{2} } \\ = \sqrt{ {11}^{2} + {60}^{2} } \\ = \sqrt{3721} \\ = 61 \: inches[/tex]

hypotenuse=

height

2

+adjacent

2

=

11

2

+60

2

=

3721

=61inches

A Skateboard is reduced 25%
in price in a sale. The old price
was $122. Find the new price.​

Answers

Answer: 30.5

Step-by-step explanation:

The skateboard is $30

1) Is it a function?
Please help

Answers

yes it’s a function

Answer:

Yes it is a function

Hope its help you

A movie theater has 85 seats. One rainy day in the summer, all seats were sold and the ticket income was $121. If adult tickets cost $3 and children tickets cost $1, how many children were in the audience?

Answers

Answer:

children = 67

Step-by-step explanation:

two equations can be derived from this question

x + y = 85 equation 1

3x + y = 121 equation 2

where x = number of adults

y = number of children

subtract equation 1 from 2

2x = 36

x = 18

substitute for x in equation 1

y = 85 - 18 = 67

Given the triangle below find the measure of ZF and ZD.
D
20
E
F
17
ZF-
ZD=

Answers

Answer: angle f is 31.788 and angle d is 58.212

Step-by-step explanation:I need one more brainliest for next rank I’d appreciate it

A movie theater designs two bags to hold 250 cubic inches of popcorn each.
Find the height of each bag.


Pleaseee helpp

Answers

Answer:

5 inches

Step-by-step explanation:

Well two bags hold 250 cubic inches, which means one bag will hold 125 cubic inches.

Then you cube route 125 because its cubic inches.

[tex]\sqrt[3]{125}[/tex] = 5

So I would think its five inches but I may be wrong <3

Camille goes to sleep at 8:30 pm and wakes up at 6:00 am. How long does Camille sleep?

Answers

Answer:

9. 5 Hours

Step-by-step explanation:

8:30 AM to 12:00 PM = 3.5 hours

12:00 PM to 6:00 PM = 6 hours

Total = 6 + 3.5 = 9.5 hours  

Hope this answer helps you :)

Have a great day

Mark Brainliest

What is the area of the shaded sector

Answers

Answer:

Area = 634.21 square metre

Step-by-step explanation:

Area of shaded region = Area of the circle - Area of the sector

[tex]Area \ of \ the \ circle = \pi r^2 = 225 \pi\\\\Area \ of \ the \ sector = \pi r^2 \frac{ \theta}{360} = \pi \times 225 \times \frac{37}{360}[/tex]

[tex]Area \ of \ shaded \ region = 225 \pi - (225 \pi \times \frac{37}{360})[/tex]

                                   [tex]= 225 \pi (1 - \frac{37}{360})\\\\= 225 \pi \times 0.89722\\\\=634.21 m^2[/tex]

634.21 if I’m correct let me know if it works!

Beatrice made 7 2/3 cups of lemonade for her lemonade stand. Later, she made 10 3/5 more cups of lemonade. How many cups of lemonade did she make in total?

A: 17 4/15
B: 17 5/8
C: 18 4/15
D: 5/8

Answers

Answer:

C: 18 4/15

Step-by-step explanation:

7 2/3 + 10 3/5

Convert fractions so that they share a common denoninator:

7 10/15 + 10 9/15

17 19/15

18 4/15

Liz earns a salary of $2,100 per month, plus a commission of 3% of her sales. She wants to earn at least $2,900 this month. Enter an inequality to find amounts of sales that will meet her goal. Identify what your variable represents. Enter the commission rate as a decimal

Answers

Answer:

x≥26667

Step-by-step explanation:

let x= her sales

so the money she gets from her sales is .03x

if we wants at least 2900 we can write

2100+.03x≥2900

Solve for x

.03x≥800

x≥26666.6667

round up (because you can make a fraction of a sale) to get

x≥26667

Dilate the figure by the scale factor. Then enter
the new coordinates.
K= 7
A(-3,2)
(4.2)B
C(-1,-1)
A' ([?], [])
B' ([], []).
C'([], []).

Answers

Answers:

A ' ( -21, 14 )B ' ( 28, 14 )C ' ( -7, -7 )

=========================================

Explanation:

The scale factor is k = 7. This tells us to multiply each coordinate, of each point, by the scale factor to get the dilated points.

For example, point A is at (-3, 2) and moves to A ' (-21, 14) after multiplying the x,y coordinates by 7. The same applies for points B and C as well.

The dilation rule can be written as [tex](x,y) \to (7x, 7y)[/tex]

As a result of the dilation, triangle A'B'C' has sides that are 7 times longer compared to the corresponding sides of triangle ABC.

Example: side AB = 7 units, side A'B' = 49 units

Which statement make correctly uses limits determine a vertical asymptote of G(x)=-7(x-5)^2(x+6)/(x-5)(x+5)

Answers

Answer:

There is a vertical Asymptote at x = 5 because [tex]\lim_{x \to 5^{-} } G(x) = \infty\\lim_{x \to 5^{+} } G(x) = -\infty[/tex]

There is a vertical Asymptote at x = -5 because [tex]\lim_{x \to -5^{-} } G(x) = \infty\\\lim_{x \to -5^{+} } G(x) = -\infty[/tex]

Step-by-step explanation:

The exact question is as follows :

Given - G(x) = -7(x-5)^2(x+6)/(x-5)(x+5)

To find - Which statement make correctly uses limits determine a vertical Asymptote of G(x)

Solution -

Vertical Asymptotes are vertical lines which correspond to the zeroes of the denominator of a rational function.

Here the given function is the rational function

Denominator of G(x) = (x - 5)(x + 5)

So,

Put denominator = 0, we get

(x - 5)(x + 5) = 0

⇒x = 5, -5

∴ we get

G(x) has vertical Asymptotes at x = 5 and x = -5

Now,

At  x= 5

[tex]\lim_{x \to 5^{-} } G(x) = \infty\\\lim_{x \to 5^{+} } G(x) = -\infty[/tex]

And

At x = -5

[tex]\lim_{x \to -5^{-} } G(x) = \infty\\\lim_{x \to -5^{+} } G(x) = -\infty[/tex]

∴ we get

There is a vertical Asymptote at x = 5 because [tex]\lim_{x \to 5^{-} } G(x) = \infty\\lim_{x \to 5^{+} } G(x) = -\infty[/tex]

There is a vertical Asymptote at x = -5 because [tex]\lim_{x \to -5^{-} } G(x) = \infty\\\lim_{x \to -5^{+} } G(x) = -\infty[/tex]

Answer:

Step-by-step explanation: A

Kendall makes candles and sells them online. To make an Essential Elegance candle, she adds
3 drops of lavender and 6 drops of vanilla to a bowl of unscented wax. To make a Garden
Glory candle, she adds 4 drops of lavender and 10 drops of vanilla to the bowl instead. Which
candle has a greater ratio of lavender to vanilla?

Answers

Answer:

Essential Elegance Candle

Step-by-step explanation:

Ratios are Lavender:Vanilla

For the Essential elegance candle the ratio is 3:6 which can be simplified to 1:2 whereas the Glory Candle is 4:10 which can be simplified to 2:5 on either one the vanilla is the bigger number but in terms of ratio it would be the essential elegance since 1/2>2/5

Jina has scored 79, 85, 89 and 68 on her previous four tests. What score does she need on her next test so that her mean is 80?

Answers

Answer:

79

Step-by-step explanation:

79, 85, 89, 68 have a mean of 80.25 according to calculator.net. the number itself Is close to the number you want, in this case 80, i input 80, but it gave me a score of 80.2, so i tried again with 81, it gave me a score of 80.4, so the third attempt was successful with 79 being the input and 80 the output

calculator.net is approved on my school computer so there is a chance it is on yours as well.

A rope has a density and thickness such that a 3.25-centimeter-long segment of it weighs 61.40 grams. There are 28.3495 grams in an ounce and 2.54 centimeters in an inch. How many ounces would a 19.45 inch length of the same rope weigh

Answers

Answer: [tex]32.909\ \text{ounce}[/tex]

Step-by-step explanation:

Given

3.25 cm long segment of rope weighs [tex]61.40\ gm[/tex]

Using unitary method

1 cm of a segment measures

[tex]\dfrac{61.40}{3.25}=18.892\ gm[/tex]

[tex]1\ cm\equiv 18.892\ gm[/tex]

converting cm to inch and gm to ounce

[tex]\dfrac{1}{2.54}\ in.\equiv \dfrac{18.892}{28.3495}\ \text{ounce}\\\\1\ in.\equiv \dfrac{18.892}{28.3495}\times 2.54\ \text{ounce}\\\\1\ in.\equiv 1.692\ \text{ounce}[/tex]

for 19.45 in., weight is

[tex]\Rightarrow 19.45\ in.\equiv 1.692\times 19.45\\\\\Rightarrow 19.45\ in\equiv 32.909\ \text{ounce}[/tex]

Answer:

✅ C. 32.92 oz

i got it right⬇

Renee wrote the pattern shown below. What is the rule for following Renee's pattern? 23, 47, 95, 191 A. multiply by 2 B.multiply by 2, add 1 C.multiply by 2, add 2 D.multiply by 2, subtract 1

Answers

Answer:

B. Multiply by 2, add 1

explanation:

23× 2 = 46 + 1 = 47

47 × 2 = 94 + 1 = 95

95 × 2 = 190 + 1 = 191


e) If A = {x:xis a letter in the word 'MATHEMATICS'}, list the members and find
n (A).

Answers

Given :

If, A = { x : x is a letter in the word 'MATHEMATICS' } .

To Find :

The members of A and find  n (A).

Solution :

We have given a set, A = { x : x is a letter in the word 'MATHEMATICS' } .

Now, we know in set theory recurring element is written once only i.e all unique elements should be there in the set.

So,

A = { M, A, T, H, E, I, C, S }

Now, number of element in set A is 8.

Therefore, n(A) = 8 .

price of a
the
of a microwave
Loven was marked down
from $187.50 to $150.00.
what
was the percent
decrease in price.

Answers

Answer:

20%

Step-by-step explanation:

$187.50 - 20% = $150.00

y>-4x+5 and y>2x-7, how to graph it?

Answers

Answer:

Graph.

y>−4x+5 and y>2x−7

Step-by-step explanation:

Kane rolls a dice and flips a coin at the same time. What is the probability he rolls a 2 or lower and the coin lands on heads?

Answers

Answer:

The probability he rolls a 2 or lower and the coin lands on heads is 16.66%.

Step-by-step explanation:

Since Kane rolls a dice and flips a coin at the same time, to determine what is the probability he rolls a 2 or lower and the coin lands on heads the following calculation must be performed:

Given = 6 sides = 2/6

Coin = 2 sides = 1/2

2/6 x 1/2 = X

0.333 x 0.5 = X

0.1666 = X

0.1666 x 100 = 16.66

Therefore, the probability he rolls a 2 or lower and the coin lands on heads is 16.66%.

what is the volume of a cone with a radius of 13cm and diameter 24cm?

Answers

4247.43327 Or short 4247.4!

Step-by-step explanation:

Please Help! Answer full step by step.

Triangle ABC has vertices A(- 3, - 4), B(16, - 2) and C(13, - 10) . Show algebraically that ABC is a right angled triangle.

Answers

Triangle ABC has the three sides AB, BC, and AC.

Let's find the slope of each line. We'll use the slope formula

Let's start with the slope of line AB.

A = (-3, -4) = (x1,y1)

B = (16, -2) = (x2,y2)

m = slope

m = (y2-y1)/(x2-x1)

m = (-2-(-4))/(16-(-3))

m = (-2+4)/(16+3)

m = 2/19

The slope of line AB is 2/19. I'll keep it in fraction form.

We'll use this later, so let p = 2/19.

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

Repeat those steps to find the slope of BC

B = (16, -2) = (x1,y1)

C = (13, -10) = (x2,y2)

m = (y2-y1)/(x2-x1)

m = (-10-(-2))/(13-16)

m = (-10+2)/(13-16)

m = -8/(-3)

m = 8/3

The slope of line BC is 8/3.

Let q = 8/3 so we can use it later.

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

Now find the slope of line AC.

A = (-3, -4) = (x1,y1)

C = (13, -10) = (x2,y2)

m = (y2-y1)/(x2-x1)

m = (-10-(-4))/(13-(-3))

m = (-10+4)/(13+3)

m = -6/16

m = -3/8

The slope of line AC is -3/8

Let r = -3/8.

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

To recap everything so far, we have

p = slope of line AB = 2/19q = slope of line BC = 8/3r = slope of line AC = -3/8

We can see that,

p*q = (2/19)*(8/3) = 16/57q*r = (8/3)*(-3/8) = -1p*r = (2/19)*(-3/8) = -6/152 = -3/76

Of those slope multiplications, q and r multiply to -1 is what we should focus on. If two slopes multiply to -1, then their lines are perpendicular. This applies to any perpendicular lines where neither line is vertical, and neither is horizontal.

The fractions 8/3 and -3/8 are negative reciprocals of one another. We flip the fraction and flip the sign from positive to negative, or vice versa. This is another way to see we have perpendicular slopes.

So in short, we've shown that BC and AC are perpendicular, and therefore triangle ABC is a right triangle.

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

To solve this problem a completely different way, we could follow this outline:

Step 1) Find the length of each side AB, BC, and AC. Use the distance formula. Step 2) Apply the pythagorean theorem converse. If you can show a^2+b^2 = c^2 is true, then the triangle with sides a,b,c is a right triangle, where c is the longest side (hypotenuse) opposite the right angle.

Through step 1, you should find that,

AB = sqrt(365)BC = sqrt(73)AC = sqrt(292)

Let a = sqrt(73), b = sqrt(292), c = sqrt(365). You should find that a^2+b^2 = c^2 is a true statement based on those values, and therefore we have a right triangle. The longest side is AB = sqrt(365), making angle C to be the 90 degree angle. The diagram is shown below. I used GeoGebra to make the diagram.

Which is the solution of the system of equations shown in the graph?

Answers

It’s (5,-7) because on the x axis it’s 5 and on the y axis it’s-7

Answer:

(5, -7).

Step-by-step explanation:

Solution is the point of intersection.

(5, -7).

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