What is the base of a triangle with a height of 14 cm and an area of 42 square cm?

Answers

Answer 1

Answer:

[tex]6cm[/tex]

Step-by-step explanation:

[tex]area = \frac{1}{2} \times base \times height \\ 42 = \frac{1}{2} \times b \times 14 \\ 42 = \frac{14b}{2} \\ 42 = 7b \\ \frac{42}{7} = \frac{7b}{7} \\ base = 6cm[/tex]

hope this helps

Answer 2

Answer:

6

Step-by-step explanation:


Related Questions

The graph shows the relationship between daily caffeine
consumption and resting heart rate for some adults.
Which phrases describe the relationship between heart
rate and daily intake of caffeine? Select two options.
Effects of Caffeine
negative correlation
180
increasing heart rate
constant correlation
Resting Heart Rate (bpm
positive correlation
decreasing heart rate
1 2 3 4 5 6 7 8 9 10
Total Coffee Intake (Cups)

Answers

Answer:

A and B. increasing heart rate and positive correlation

Step-by-step explanation:

The heart rate increases as they drink more cups of coffee and because the both sets of data are increasing in the same direction, it's positive correlation.

Hope my answer helps and isn't too short <3

Answer: B AND D

Step-by-step explanation:

Solve for n. 11(n – 1) + 35 = 3n plz help

Answers

[tex]answer \\ = - 3 \\ solution \\ 11(n - 1) + 35 = 3n \\ or \: 11n - 11 + 35 = 3n \\ or \: 11n + 24 = 3n \\ or \: 11n - 3n = - 24 \\ or \: 8n = - 24 \\ or \: n = \frac{ - 24}{8} \\ n = - 3 \\ hope \: it \: helps[/tex]

What is the slope of the line shown?

Answers

Answer:

1/2

Step-by-step explanation:

The slope is one half, because every time x increases by 1, y increases by 1/2. You can find the slope using the rise over run strategy. You choose a point, and you also choose the point to the right of the point you first chose. You then count how many units up and to the right the right point is.

Its Up/Right.

This version of rise over run however only works when the line is going up.

A standard six-sided die is rolled three times. Use multiplication to determine the probability that a one or two appears on the second roll, and an odd number appears on the third roll

Answers

Answer:

1/6

Step-by-step explanation:

Since we don't care what appears on the first roll

P( outcome) = 1

Second roll

P(1 or 2) = number of 1 or 2 / total number of outcomes

              =2/6 = 1/2

Third roll

odd numbers 1,3,5

P( odd number)= number of odd numbers/ total

                          =3/6 =1/2

P( outcome, 1or 2, odd)  = P( outcome) *P(1 or 2) *P( odd number)

                                       = 1* 1/3 * 1/2

                                       = 1/6

A runner moves west with an initial velocity of 4 m/s. She accelerates 3 m/s2 for 30 seconds. The runner’s final velocity is m/s.

Answers

Answer:94m/s

Step-by-step explanation:

Using the formula:

v=u+at

Where v= final velocity (the unknown)

u= initial velocity (4m/s)

a= acceleration (3m/s)

t= time (30seconds)

v=4+(3*30)

= 4+90

= 94m/s

A rectangle has a length of 6 inches, and a width
of 4 inches. What is the area of this rectangle

Answers

Answer:

length times width so.... 24

Divide 40 kg in the ratio 3:2.

Answers

Answer:

24:16

Step-by-step explanation:

to find 1 part = 40/5 (you add the total of the ratio: 3+2)

so 8 and then times 8 by 3 and 8 by 2 to get the parts

Answer:

24 and 16

Step-by-step explanation:

First find the number of parts: 3+2 = 5.

then, divide 40 by 5 to find how much is available for each part. This way, you get 8.

Then to find the value for each section of the ration, multiply eight by the corresponding side.

8 x 3 = 24

8 x 2 = 16

Hope this helps.

Please mark brainiest

Select all the equations where y=10equals, is a solution.
Choose 2 answers:



A
y+11=22


B
8=18-y


C
60=6y


D
y/5=4

E
10y=20

Answers

Answer:

B and C

Step-by-step explanation:

A. y + 11 = 22         →  subtract 11 from both sides:

    y = 11

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

B. 8 = 18 - y           →  subtract 18 from both sides:

    -10 = -y              →  divide both sides by -1:

     10 = y

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

C. 60 = 6y             →  divide both sides by 6:

    10 = y

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

D. [tex]\frac{y}{5}[/tex] = 4                  →  multiply both sides by 5:

   y = 20

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

E. 10y = 20            →  divide both sides by 10:

     y = 2

Need help with this
Pls!! Show work

Answers

Answer:

a) S_tot 320 cm²  (cube), 282.743339 cm²  (cylinder) thus the cube is  a greater surface area.

b) V = 300 cm³ (cube) V = 314.159265 cm³ (cylinder) thus the cylinder has a greater volume.

Step-by-step explanation:

First solve for the cube:

length l = 10 cm

width w = 10 cm

height h = 3 cm

diagonal d = 14.4568323 cm

total surface area Stot = 320 cm²

lateral surface area S_lat = 120 cm²

top surface area S_top = 100 cm²

bottom surface area S_bot = 100 cm²

volume V = 300 cm³

Agenda: l = length

w = width

h = height

d = diagonal

S_tot = total surface area

S_lat = lateral surface area

S_top = top surface area

S_bot = bottom surface area

V = volume

Formulas for a rectangular prism or cube:

Volume of Rectangular Prism:

V = lwh

Surface Area of Rectangular Prism:

S = 2(lw + lh + wh)

Space Diagonal of Rectangular Prism:  

d = √(l² + w² + h²)

_______________________________

Second we solve for the cylinder

radius r = 5 cm  d/2 = 10/2 = 5 cm

height h = 4 cm

volume V = 314.159265 cm³

lateral surface area L = 125.663706 cm²

top surface area T = 78.5398163 cm²

base surface area B = 78.5398163 cm²

total surface area A = 282.743339 cm²

In Terms of Pi π

volume V = 100 π cm³

lateral surface area L = 40 π cm²

top surface area T = 25 π cm²

base surface area B = 25 π cm²

total surface area A = 90 π cm³

Agenda:

Agenda: l = length

w = width

h = height

d = diagonal

S_tot = total surface area

S_lat = lateral surface area

S_top = top surface area

S_bot = bottom surface area

V = volume

Cylinder Formulas in terms of r and h:

Calculate volume of a cylinder:

V = πr²h

Calculate the lateral surface area of a cylinder (just the curved outside):

L = 2πrh

Calculate the top and bottom surface area of a cylinder:

T = B = πr²

Total surface area of a closed cylinder is:

A = L + T + B = 2πrh + 2(πr²) = 2πr(h+r)

find the value of each trigonometric ratio. Part 1​

Answers

Answer:  [tex]\bold{2)\ sin\ C=\dfrac{20}{29}\qquad 3)\ tan\ A=\dfrac{8}{15}\qquad 4)\ tan\ Z=\dfrac{4}{3}}[/tex]

Step-by-step explanation:

[tex]2) \sin C=\dfrac{\text{side opposite of}\ \angle C}{\text{hypotenuse of triangle}}=\large\boxed{\dfrac{20}{29}}\\\\\\3) \tan A=\dfrac{\text{side opposite of}\ \angle A}{\text{side adjacent to}\ \angle A}=\large\boxed{\dfrac{8}{15}}\\\\\\4) \tan Z=\dfrac{\text{side opposite of}\ \angle Z}{\text{side adjacent to}\ \angle Z}=\dfrac{40}{30}\quad \rightarrow \large\boxed{\dfrac{4}{3}}[/tex]

Can anyone help me with 9th-grade geometry?

Answers

Answer:

See below.

Step-by-step explanation:

From the given info the 2 triangles are isosceles with AE = FR and ET = RP because the 2  sets of base angles are equal.

As the base angles are congruent  m < E = m < R.

So the are  2 triangles are congruent by SAS,  ASA and AAS.

Please help! Correct answer only please! I need to finish this assignment by today.
On her recent free-throw attempts, Norma made 24 shots and missed 58 shots. What is the experimental probability that Norma will miss her next free-throw attempt?

Simplify your answer and write it as a fraction or whole number.

P(miss) =

Answers

Answer:

58 / (24 + 58) = 29/41

Step-by-step explanation:

For what values (cases) of the variables the expression does not exist: b/a+b

Answers

Answer:

The expression b/(a +b) does not exist when a = -b or b = -a

Step-by-step explanation:

The expression b/(a + b) does not exist if the denominator a + b = 0.

So, a = - b or b = -a.

So, the expression b/(a + b) does not exist when a = -b or b = -a.

When a = -b values, the denominator a + b = -b + b = 0. This will make the expression b/(a + b) = b/0 = ∞ which undefined or does not exist.

When b = -a values, the denominator a + b = a + (-a) = a - a = 0. This will make the expression b/(a + b) = -a/0 = -∞ which undefined or does not exist.

So the expression b/(a +b) does not exist when a = -b or b = -a

The equation x2 − 9 = 0 has real solution(s).

Answers

Answer:

The roots are real and unequal (3, -3)

Step-by-step explanation:

x²-9=0

ax²+bx+c=0

Comparing we get,

a= 1

b= 0

c = -9

Determinant: b²-4ac

= 0² - 4(1)(-9)

= 36>0

D > 0

Therefore, the equation has real and unequal roots.

Algebraic identity:

x² - a² = (x-a)(x+a)

Using this identity

x²-9 = (x+3)(x-3)

Roots are 3 and -3 which are real and not equal to each other

Hope this answer helps you ..

Answer:

2 real solutions

Which equation represents the graphed function? A)-3x+2=y B)-2/3x+2=y C)3/2x-3=y D) 2x-3=y

Answers

Answer:

C) 3/2x-3=y

Step-by-step explanation:

-3 because that is the Y-intercept and 3/2 is the slope of the line. Y= mx +b is the formula and m is the slope and b is the y intercept.

The equation of given graph is y = [tex]\frac{-3}{2} x - 3[/tex]

Concept:The general equation of straight line is y = m x + x, where
m = slope of line and c =  y intercept

How to solve the given question?Here, the slope of line , [tex]m = \frac{-3 - 0}{2-0} = \frac{-3}{2}[/tex]Y intercept, c = -3∴ the equation of the graphed line, y = [tex]\frac{-3}{2} x - 3[/tex]

Learn more about line here:

https://brainly.com/question/13763238

#SPJ2

help ASP plaz i need help

Answers

Answer:

isoceles right triangle

Step-by-step explanation:

the two lines shows their equal length and its at a 90 degrees angle so its a  isoceles right triangle

no solution for 6x-3x+4-2x

Answers

Answer:

4+x

Step-by-step explanation:

you combine your like terms so you take 6x-3x and you end up with 3x than you take that 3x and subtract the 2x from it so you are left with just x so that would be 4+x

PLEASE HELP IT IS URGENT How do you find CF?

Answers

Answer:

CF = 12

Step-by-step explanation:

∠ CDF = ∠ ABD = 45° ( alternate angles )

Using the sine ratio in right triangle CDF and the exact value

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{CF}{CD}[/tex] = [tex]\frac{CF}{12\sqrt{2} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

[tex]\sqrt{2}[/tex] CF = 12[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{2}[/tex] )

CF = 12

Find the surface area of the polyhedra
pls!! show how you got the surface area ​​

Answers

Answer:

164 cm.

Step-by-step explanation:

First, I solved for the bottom and top. 10 times 3 is 30. Then I doubled it because it's the same answer for the bottom and top. I got 60.

Next I solved for the sides. 4 times 3 is 12. Then I doubled it because it's the same answer for both sides. I got 24.

Lastly I solved for the front and back. 10 times 4 is 40. Then I doubled it because it's the same answer for both the front and back. I got 80.

After all this, I added everything together. 60 + 24 + 80 = 164.

Sorry, I'm not the best at explaining things.

a cookie recipe calls for 10 cups of milk. Magdahas already put in 7.3 cups. How many more cups does she need to put in?​

Answers

Answer: 2.7 cups of milk

Explanation: 10-7.3=2.7, therefore, Magdahas needs 2.7 more cups of milk.

The scatter plot shows the number of oranges picked, in hundreds, in relation to the number of lemons harvested, in hundreds, by several farms.​

Answers

Complete Question:

The scatter plot shows the number of oranges picked, in hundreds, in relation to the number of lemons harvested, in hundreds, by several farmers.

According to the plot, which value is the best estimate of the correlation coefficient of the data?

A. -0.2 B. -0.9 C. 0.9 D. 0.2

*See attachment for the scatter plot.

Answer:

C. 0.9

Step-by-step explanation:

The scatter plot given in the graph attached shows a relation between oranges picked and the number of lemon that is harvested as the line slopes in an upward direction. This suggest a positive correlation coefficient, because as the variable on the Y-axis increases, the variable on the X-axis also increases in the same direction. Hence, our correlation coefficient would be a positive value.

Also, the correlation coefficient would be close to 1, because the points on the scatter plot seem clustered and aligned along the line slope.

Therefore, the best estimated value for the correlation coefficient would be C. 0.9.

What equation is equivalent to 3(a+4)-5(a-2)=22?

Answers

Answer:

a = 0

Step-by-step explanation:

=> 3(a+4)-5(a-2) = 22

Opening Brackets

=> 3a+12-5a+10 = 22

=> 3a-5a+12+10 = 22

=> -2a+22 = 22

Subtracting 22 to both sides

=> -2a = 0

Dividing both sides by -2

We get,

=> a = 0

Answer:

a = 0

Step-by-step explanation:

3(a+4)-5(a-2)=22

3a+12-5a+10=22

-2a+22=22

Subtract 22 from both sides

-2a=0

Multiply both sides by -1

2a= -0

2a=0

Divide both sides by 2

a=0

Hey I just realized my answer is really similar to Ujalakhan01's so sorry if it seems like I copied them.

Samuel received $250 as prize money for winning the St. Peterson High School Badminton Tournament. The money was deposited in a special scholarship account that offered an annual interest of 1.8% compounded semiannually. The amount he will have in the accoutnt after t years can be calculated using the expression below. Use the given expression to complete the statements below. The expression is the of the amount initially deposited and the of one and the rate of increase raised to the number of .

Answers

Complete Question

Samuel received $250 as prize money for winning the St. Peterson High School Badminton Tournament. The money was deposited in a special scholarship account that offered an annual interest of 1.8% compounded semiannually. The amount he will have in the accoutnt after t years can be calculated using the expression below.

[tex]250(1+\frac{0.018}{2})^{2t}[/tex]

Use the given expression to complete the statements below.

The expression is the___(Product , Sum  , Quotient , Square) of the amount initially deposited and the____(Quotient , Product , Difference , Sum)  of one and the rate of increase raised to the number of ___.(Compounding Periods , Years, Months)

Answer:

ProductSumCompounding Periods

Step-by-step explanation:

For an amount invested at compound interest at a rate of r% with period for t years,

Amount [tex]=P(1+\frac{r}{k})^{tk}[/tex]

Comparing with the given expression: [tex]250(1+\frac{0.018}{2})^{2t}[/tex]

Period =2

Rate =0.018

Total Compounding Period =2 X t, where t=Number of years

Therefore:

The expression is the Product of the amount initially deposited and the Sum of one and the rate of increase raised to the number of Compounding Periods .

Gordon and Malachy win some money and share it in the ratio 6:1. Gordon gets £25 more than Malachy. How much did they get altogether?

Answers

Answer:

£ 35

Step-by-step explanation:

Ratio = 6 : 1

Gordon's share = 6x

Malachy's share = x

6x - x = 25

5x = 25

x = 25/5

x = 5

Gordon's share = 6x = 6*5 = 30

Malachy's share = x = 5

Total money they get = 30 + 5 = £35

solve the following equation 2x-7/4=x+3/3

Answers

Answer:

x=11/4

Step-by-step explanation:

2x-7/4=x+3/3

2x-7/4=x+1

-x         -x

x-7/4=1

 +7/4  +7/4

x=11/4

Plzzzzz i need help fast

Answers

Answer:mode is 0

`

Step-by-step explanation:mode is the most repeated value

Answer is: No mode

I totally agree with the person above.

126/21 The simplest form

Answers

[tex] \dfrac{126}{21} = \dfrac{2 \times 3 \times 3 \times 7}{3 \times 7} = 6[/tex]

Answer: 6

What force is exerted on a test charge of 3.25 E−5 C, if it is placed in an electric field of magnitude 1.40 E4 N/C? Remember to identify all data (givens and unknowns), list equations used, show all your work, and include units and the proper number of significant digits to receive full credit.

Answers

Answer:

0.46 newtons

Step-by-step explanation:

For these kinds of problems, you can employ the formula

[tex]E=\dfrac{F}{q}[/tex]

where E represents the field in N/C, F represents the force in newtons, and q represents the charge in coulombs. You can therefore set up the following equation:

[tex]1.4\times 10^4 N/C=\dfrac{F}{3.25\times 10^{-5}C} \\\\[/tex]

[tex]F=(1.4\times 10^4 N/C) \times (3.25 \times 10^{-5} C)=4.6 \times 10^{-1} N[/tex] (following sig figs)

Hope this helps!

Answer:

your answer is 1.50 E4 N/C

Step-by-step explanation:

Geckos are lizards with specialized toe pads that enable them to easily climb all sorts of surfaces. a research team examined the adhesive properties of 7 tokay geckos. below are their toe-pad areas (in square centimeters, cm2). 5.6 4.9 6.0 5.1 5.5 5.1 7.5 what is the value of the sample variance? _____ cm2 answer

Answers

Answer: 0.6763 cm∧2

Step-by-step explanation: Variance is one of the measures of dispersion which is the the second central moment in probability. It is defined as a measure of by how much the values in a data set differs from the mean of the values. Thus it is the average of the squares of the deviations from the mean as this ensures that both the negative and positive deviations do not cancel each other out.

The sample variance would be calculated as follows:

Population size is 7 (5.6 4.9 6.0 5.1 5.5 5.1 7.5)

Mean: Sum of samples / population size ;

(5.6 4.9 6.0 5.1 5.5 5.1 7.5) / 7 = 5.67

Applying the formula for variance: [ Summation (x - mean) ] / population size =( |5.6 - 5.67| + |4.9 - 5.67| + |6.0 - 5.67| + (|5.1 - 5.67|) * 2 + | 5.5 - 5.67| + |7.5 - 5.67|) / 7 = 0.6763 cm^2

Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(2, 1)B(5, 1),C(5, 6), and D(2, 6). Given these coordinates, what is the length of side AB of this rectangle?

Answers

Answer:

The legnth of side AB would be 3 units

Step-by-step explanation:

First, you would determine that both point A and point B would have the same y-coordinate of 1.   Then you would determine the difference between the x values of points A and B.  Since 5 (the x-value for B) minus 2 (the x-value for A) is 3, the legnth of side AB would be 3 units.

Step-by-step explanation:

I recommend using Desmos to quickly graph things (it's much faster than doing it yourself, I use it often. You can graph points and everything).

The picture ends up looking like the attachment I have below.

This is now a simple subtraction.

A is at 2 on the x-axis and B is at 5.

5-2=3

Answer:

3 units

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