The prism shown has a volume of 35cm³
Work out h, the height of the triangular cross section.

Answer:

width = 3 cm

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = length × width

given A = 27 and length = 9 , then

9 × width = 27 ( divide both sides by 9 )

width = 3 cm

❝ Area of a rectangle is ❞ = ❝ Length × Width ❞

✠ Given terms :

➺ Area = 27 cm²

➺ length = 9 cm

✠ Now, let's assume the width to be ❝ x cm ❞ and proceed to find its value using given relation ~

[tex]\qquad \: \twoheadrightarrow\sf Area = L × B [/tex]

[tex]\qquad \: \twoheadrightarrow\sf 27 = 9 × x [/tex]

[tex]\qquad \: \twoheadrightarrow \sf x = 27 ÷ 9[/tex]

[tex]\qquad \: \twoheadrightarrow \sf \: x = 3 \: cm[/tex]

✠ Therefore, The width of the rectangle = 3 cm

[tex]\qquad\qquad \qquad\huge \dag  \normalsize\sf\boxed{\underline{ǤríʍɌεαƿєr}} \: \huge \dag[/tex]

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Answer: 1.8 units

Step-by-step explanation:

Answer:

MAYBE IF YOU STUDIED YOU'D KNOW THE ANSWER

Step-by-step explanation:

Answer:

y=2

Step-by-step explanation:

6y+8=20

6y=12

y=12÷6

y=2

Hope this helps! :)

Answer:

y = 2

Step-by-step explanation:

[tex]\mathrm{Add\:}4\mathrm{\:to\:both\:sides}[/tex]

[tex]3y-4+4=6-2y+4[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]3y=-2y+10[/tex]

[tex]\mathrm{Add\:}2y\mathrm{\:to\:both\:sides}[/tex]

[tex]3y+2y=-2y+10+2y[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]5y=10[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}5[/tex]

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

[tex]\mathrm{Simplify}[/tex]

y = 2

~Learn with Lenvy~

Answer:

y = 2

Step-by-step explanation:

Rearrange terms

3y -4 = -2y +6

Add 4 to both side

3y -4 +4 = -2y +6+4

Simplify

3y = -2y + 10

Add 2y to both sides

3y +2y = -2y + 10 +2y

Simplify

5y = 10

Divide both sides by the same factor

5y/5 = 10/5

Simplify

y = 2

[RevyBreeze]

Answer:

16.8

Step-by-step explanation:

Hope this helps

Using an exponential function, it is found that he must spend $118,214 in 11 years to keep the same standard of living.

An increasing exponential function is modeled by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

His current cost of living is of $50,700, which increases by 8% yearly, hence A(0) = 50700, r = 0.08, and the equation is:

[tex]A(t) = A(0)(1 + r)^t[/tex]

[tex]A(t) = 50700(1 + 0.08)^t[/tex]

[tex]A(t) = 50700(1.08)^t[/tex]

After 11 years, the cost will be given by:

[tex]A(11) = 50700(1.08)^{11} = 118214[/tex]

More can be learned about exponential functions at https://brainly.com/question/25537936

Answer:

C. Ankur found that the quotient of a positive number and a negative number is positive

Step-by-step explanation:

Given the expression that is solved by Ankur as shown;

[tex]15 \frac{1}{3} \div(-4\frac{2}{3} )[/tex]

We were told that Ankur got 3. Let us evaluate to see ankurs error.

change to improper fraction first

[tex]= 15 \frac{1}{3} \div(-4\frac{2}{3} )\\= \frac{46}{3} \div \frac{-14}{3} \\= \frac{46}{3} \times \frac{-3}{14} \\= \frac{-46}{14}\\ = -3.28[/tex]

Note that from the calculation the quotient of a positive number to a negative number returns a negative number. Based on Ankur's answer, he got a postive value which is one of his errors. He found out that the quotient of a positive number and a negative number is positive which is wrong.

Hence the correct option is C

Answer:

Step-by-stepAnkur found that the quotient of a positive number and a negative number is negative

Step-by-step explanation:

Given that:

Quotient of 15 and one-third divided by (negative 4 and two-thirds) = 3

Mathematically,

( 15 1/3) ÷ (-4 2/3) = 3

Here,

Dividend = 15 1/3 (positive)

Divisor = - 4 2/3 (negative)

Dividing a positive Dividend by a negative Divisor will always give a negative quotient

Hence,

15 1/3 = 46 / 3

-4 2/3 = - 14 / 3

46/3 ÷ - 14/3

= 46/3 * -3 / 14

Ankur must have either forgotten or neglected the negative sign in the divisor explanation:

so the answer is b

Answer

4

~~~~~~~~~~~~~~~~~~~~~~~

Yeah it's 4 again double check!

The new price of the lens once it goes on sale is $389.35.

Given that,

[tex]= \$599 - (35\% of \$599)\\\\[/tex]

= $389.35

Learn more about the price here: https://brainly.com/question/25300841?referrer=searchResults

Hey there!

Equation: 60m = h

Goodluck and enjoy ^_^

Answer:

What is the rest of the question? There isn't enough information.

Step-by-step explanation:

Answer:

Check the image

Step-by-step explanation:

Hope this helps!

Answer:

The solution for the system of equations is

x=2,y=−2

Explanation:

4x−3y=14.....equation (1)

y=−3x+4.....equation (2)

Solving by substitution

Substituting equation 2 in equation 1

4x−3⋅(−3x+4)=14

4x+9x−12=14

13x=14+12

13x=26

x=2

Finding y by substituting x in equation 1

4x−3y=14

4⋅2−3y=14

8−3y=14

8−14=3y

3y=−6

y=−2

Answer:X=−4x/3−21

                 y=4x/3+7

Step-by-step explanation:

Answer:

do u have a picture of it ?

Answer:

No graphs are visible to choose from...

Step-by-step explanation:

Step-by-step explanation:

Let the base be x and the perpendicular be y.

It is given that, one leg of a right triangle is twice as long as the other leg,

y = 2x ...(1)

Hypotenuse, H = 5 cm

We can use Pythagoras theorem as follows :

[tex]H^2=B^2+P^2[/tex]

Putting all the values,

[tex]5^2=x^2+(2x)^2\\\\25=x^2+4x^2\\\\25=5x^2\\\\x^2=5\\\\x=\sqrt{5}\ cm[/tex]

So, the base is [tex]\sqrt5\ cm[/tex]. No, to find the value of y put x in equation (1). So,

[tex]y=2x\\\\=2\sqrt{5} \ cm[/tex]

Hence, the measure of the shorter leg is [tex]\sqrt{5} \ cm[/tex]

Answer:

x= 35.2344 °

Step-by-step explanation:

Sides:

a = 2.6 m

b = 2.12368 m

c = 1.5 m

Angles:

A = 90 °

B = 54.7656 °

C = 35.2344 °

Other:

P = 6.22368 m

s = 3.11184 m

K = 1.59276 m2

r = 0.511838 m

R = 1.3 m

C = angle C

a = side a

b = side b

c = side c

P = perimeter

s = semi-perimeter

K = area

r = radius of inscribed circle

R = radius of circumscribed circle

AAS is Angle, Angle, Side

Given the size of 2 angles and 1 side opposite one of the given angles, you can calculate the sizes of the remaining 1 angle and 2 sides.

Use the Sum of Angles Rule to find the other angle, then

use The Law of Sines to solve for each of the other two sides.

Answer:

10.30%

Step-by-step explanation:

7/68

x 100% = 10.2941176471%

Answer:

5

Step-by-step explanation:

Answer:

The radius of the circle is 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

s(r(4)) = 13

Step-by-step explanation:

Substitute and calculate:

s(r(4)) = 13

Answer:

1

Step-by-step explanation:

You find a number that divides 7 to equal 19.

[tex]\tt \dfrac{19}{7}=2\dfrac{5}{7}[/tex]

Answer:

Let's order the units because it can help us better;

_______     _______ = ________ , next we solve for x;

375/125 = x/50

x = 150

The equation can have no solution or as many solutions as possible

Terrence's conclusion that the equation has infinitely many solutions is false

The equation is given as:

101 - 6+ 2 = 4(3x - 1) - 2

Open the bracket

101 - 6+ 2 = 12x - 4 - 2

Collect the like terms

12x = 101 - 6+ 2 + 4 + 2

Evaluate the like terms

12x = 103

Divide both sides by 12

x =103/12

The above shows that the equation has one solution

Hence, Terrence's conclusion that the equation has infinitely many solutions is false

Read more about equation solutions at:

https://brainly.com/question/7784687

Answer:

look at explanation, i got it on ed.

Step-by-step explanation:

Start by choosing two data points. Calculate the difference between the second y value and the first y value. Then divide that by the difference between the second x value and the first x value.

Answer:

Start by choosing two data points. Calculate the difference between the second y value and the first y value. Then divide that by the difference between the second x value and the first x value.

Step-by-step explanation:

Answer:

y = - 2x - 4

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 6 - 2x = - 2x + 6 ← is in slope- intercept form

with slope m = - 2

y = - 10x - 4 ← is in slope- intercept form

eith y- intercept c = - 4

then

y = - 2x - 4 ← is the equation of the required line

Step-by-step explanation:

slope of y=6-2x=> -2 as it is in the form (y=mx+c )

y intercept of y=-10x-4=-4(as it in the form y=mx+c ,c is intercept made by y-axis)

so equation of line having-4 as y intercept and slope as -2 will be given by (intercept slope form):

that is y=mx+c

=> y= -2x-4=> 2x+y+4=0 is equation of required line

Answer:

X=6

Step-by-step explanation:

5x+1=31

-1 from each side

5x=30

divide both sides by 5

x=6

m∠ ( 5x + 1 )° will be equal to m∠31° because they both are vertically opposite angles.

Which means :-

[tex]5x + 1 = 31[/tex]

[tex]5x = 31 - 1[/tex]

[tex]5x = 30[/tex]

[tex]x = \frac{30}{5} [/tex]

[tex]\color{red}x = 6[/tex]

Therefore , m∠ ( 5x + 1 )° = 31° and the value of x = 6 .

Fist : 3

then

second : x (-3) = - 9

third : x (-3) = 27

x (-3) = - 81

the 15 term ?

first one = 3 x (-3)⁰

second one = 3 x (-3)¹

third one = 3 x (-3)²

so n one = 3 x (-3)ⁿ⁻¹

then the 15th one = 3 x (-3)¹⁴

Check the picture below.

Answer:

B

Step-by-step explanation:

This is correct because we already know that the two sides are congruent and that we have one more side we need to prove congruent. Well, it is congruent because it's just lined up next to each other, so they're equal which is BD=DB. This would make it so it would be SSS and the two triangles are congruent.

Please let me know if you need further explanation.