The height of a triangle is 5 more than double the base length. If the height of the triangle is 74mm, what is the base length of the triangle

Answers

Answer 1

Answer:

height = 5+2xbase

74 = 5+2xbase

subtract 5 from both sides

69 = 2xbase

divide both sides by 2

34.5mm = base length


Related Questions

29. A number divided by 8 gives answer 27, remainder 4. Find the number.


Answers

Answer:

220

Step-by-step explanation:

Divisor • Quotient + Remainder = Dividend

The divisor is 8, the quotient is 27, the remainder is 4.

27 • 8 = 216; 216+ 4= 220 (Don’t forget that multiplication is commutative, so 8 & 27 can swap places!) 220 is the number that when divided by 8 gives 27 remainder 4.

In simpler way

Dividend = divisor × quotient + remainder.

Divisor = 8, quotient = 27, remainder = 4.

Dividend = (8×27)+4,

= 216+ 4

= 220

The number is 220.

For proof

 

If a sample proportion is 0.55, which of the following could be a 90% confidence interval for the population proportion? Select all that apply.
(a) Lower bound: 0.50; Upper bound: 0.60 (b) Lower bound: 0.53; Upper bound: 0.59 (c) Lower bound: 0.52; Upper bound: 0.58 (d) Lower bound: 0.60; Upper bound: 0.70 (e) Lower bound: 0.45; Upper bound: 0.60​

Answers

Answer:

The correct options are a and c.

Step-by-step explanation:

Confidence interval:

A confidence interval is given by the sample proportion plus/minus the margin of error. This means that the confidence interval is symmetric, that is, the difference between the upper bound and the sample proportion has to be the same as the difference between the sample proportion and the lower bound.

Sample proportion is 0.55

So options for the confidence interval are:

Lower bound - upper bound

0.54 - 0.56

0.53 - 0.57(which means that option b is wrong)

0.52 - 0.58(which means that option c is right)

...

0.5 - 0.6(which means that option a is right).

The correct options are a and c.

The confidence interval is the range of value between which the true population proportion would lie given a certain margin of error. Hence the correct options are A and C

Hence, the upper and lower boundary would the same error value above and below the mean proportion.

Evaluating the options given :

Error below = 0.50 - 0.55 = -0.05

Error above = 0.60 - 0.55 = 0.05

Error below = 0.53 - 0.55 = -0.02

Error above = 0.59 - 0.55 = 0.04

Error below = 0.52 - 0.55 = -0.03

Error above = 0.58 - 0.55 = 0.03

Error below = 0.60 - 0.55 = 0.05

Error above = 0.70 - 0.55 = 0.15

Error below = 0.45 - 0.55 = -0.10

Error above = 0.60 - 0.55 = 0.05

Therefore, the only options with equal margin of error, above and below the mean are options A and C.

Learn more : https://brainly.com/question/15111061

I need to figure out what the slope is.

Answers

9514 1404 393

Answer:

  2

Step-by-step explanation:

The slope formula is useful for this.

  m = (y2 -y1)/(x2 -x1)

  m = (-2 -(-6))/(3 -1) = 4/2 = 2

The slope of the line is 2.

What is 4 nickels to 2 dollars

Answers

Answer: b

Step-by-step explanation:

Answer:

How many nickels make a 2 dollars?

40 nickels

50 per penny roll or 40 nickels to complete a $2 roll, the denominations can become less self-explanatory the higher the face value and physical thickness of a coin

What is the surface area?

Answers

Answer:

212

Step-by-step explanation:

hope you will understand

Evaluate the following multiplication expression: -2(11)​

Answers

Answer:

the answer is negative 22

Step-by-step explanation:

-2 x 11 = -22

What is the volume of the right rectangular prism 

Answers

Answer:

432

Step-by-step explanation:

V=length×width×height

= 8×6=48

=48×9=432

Answer:

[tex]432{mm}^{3} [/tex]

Step-by-step explanation:

[tex]9mm \times 6mm \times 8mm = 432 {mm}^{3} [/tex]

Write the slope-intercept equation of this line.

when the answers are

A. y=-2x-3
b. y=2x-5
c. y=-1/2x-5
d.y=-1/2x-3

Answers

Answer:

[tex]y=-\frac{1}{2} x-3[/tex]

Step-by-step explanation:

Hi there!

Slope intercept form: [tex]y=mx+b[/tex] where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope

The slope of a line is the same as its [tex]\frac{rise}{run}[/tex], or in other words, the number of units the line moves upwards over the number of units the line moves to the right.

In the graph, we can see that for every 2 units it moves right, it moves down 1 units. Therefore, our slope is [tex]-\frac{1}{2}[/tex]. This is negative since it is traveling downwards.

Plug [tex]-\frac{1}{2}[/tex] into [tex]y=mx+b[/tex] as m:

[tex]y=-\frac{1}{2} x+b[/tex]

2) Determine the y-intercept

In the graph, we can see that the line crosses the y-axis when y is equal to -3. Plug -3 into [tex]y=-\frac{1}{2} x+b[/tex] as b:

[tex]y=-\frac{1}{2} x-3[/tex]

I hope this helps!

D

Used desmos graphing calculator

What is m∠G to the nearest tenth? A right angle triangle EFG. The length of EF is 28.2 and GF is 45.8. Angle GFE is given as 90 degrees.

Answers

Answer:

31.6°

Step-by-step explanation:

The triangle given us a right angled Triangle

We solve the above question using the trigonometric function of Tangent

The formula is given as:

tan θ = opp/adj

θ = m∠G = ?

Opposite = EF is 28.2

Adjacent = GF is 45.8

tan θ = 28.2/45.8

θ = arc tan (28.2/45.8)

θ = 31.621459805°

Approximately

m∠G = 31.6°

This recipe makes 2 portions of fajitas.
Carly has 500 g of chicken, 500 g of peppers, 85 g of onion, 35 g of spice mix and 10 tortillas.
How much more of each ingredient will she need to make 6 portions by following this recipe?

Recipe: Serves 2
200 g chicken
250 g peppers
30 g onion
10 g spice mix
4 tortillas

Answers

Answer:

200G

Step-by-step explanation:

Could someone help me

Answers

Answer: I think it is T,F,T,T hope this helped

plz make brainly

Step-by-step explanation:

I need to finish this but im confused :(​

Answers

Answer:

basically, with each value of x, you replace it by x on the equation

Step-by-step explanation:

y=1/3(12)

y=4

--------

y=1/3(3)

y=1

--------

y=1/3(18)

y=6

-------

hope this helped!

The volume of a sphere is 5000x m . What is the surface area of the sphere to the nearest
square meter?

Answers

Answer:

Step-by-step explanation:600

A parasail is at a height of 441 feet (or 0.083 miles) above sea level. The earth's radius is 3959 miles find the distance to the horizon to the parasail.


If you answer this can you please explain how to do it? I'm confused and just want to learn, but I don't understand how to solve it!

Answers

Answer:

The distance to horizon is 25.64 miles for the parasail.

Step-by-step explanation:

The distance to horizon for a given height is given as

[tex]d=\sqrt{2hR}[/tex]

Here

d is the distance to horizonh is the height of the observer which is given here as 0.083 milesR is the radius of Earth which is given as 3959 miles

So the distance becomes

[tex]d=\sqrt{2hR}\\d=\sqrt{2\times 0.083\times 3959}\\d=\sqrt{657.194}\\d=25.6357 \text{ miles}\\d=25.64\text{ miles}[/tex]

So the distance to horizon is 25.64 miles for the parasail.

Two less than five times a number is equal to 10 more than seven times the number. What is the number?

Answers

Answer:

x = -6; the number is -6!

Step-by-step explanation:

This is a somewhat wordy question, but it is actually easy to solve once you write it down!

It should look like this:

[tex]5x-2=7x+10[/tex]

See? It's simple! Now we just solve from there.

[tex]5x-2=7x+10\\-2x-2=10\\-2x=12\\x=-6[/tex]

Have a nice day fam! Spread the love <3

a play station costs $500, but you want to only pay $450. How much discount in percents do you want?

Answers

Answer:

You only want a 10% discount...

500 - 450 = 50  

50/500 = 1/10 = .1 = 10%

Answer:

10%

Step-by-step explanation:

450 of 500 is 90%

so you would ask for a 10% discount.

The number 31.5 is 37.5% of what number?
A. 69
B. 84
C. 315
D. 375

Answers

Answer: B

Step-by-step explanation:

What is C= 5/9 F−32)
Btw / (like in 5/9) is a way I use fractions c:

Answers

Answer:

f = 9c 5 + 288/5

Step-by-step explanation:

A can of soda contains 12 ounces of soda. What is the amount in milliliters (mL)? Conversion Factor: 1 ounce = 29.6 milliliters A. 2.47 mL B. 24.7 mL C. 355.2 mL D. 3552 mL

Answers

Answer:

The answer is C: 355.2 mL.

Step-by-step explanation:

12*29.6=355.2. I hope this helps! Have a great rest of your day!

what is the domain of the function given below f(x)= log(x+5)-2

Answers

Answer:

Domain:  

(

5

,

)

,

{

x

|

x

>

5

}

Range:  

(

,

)

,

{

y

|

y

R

}

Step-by-step explanation:

Which of the following is not true when using the confidence interval method for testing a claim about μ when σ is​ unknown? Choose the correct answer below. A. The​ P-value method and the classical method are not equivalent to the confidence interval method in that they may yield different results. B. The​ P-value method, the traditional​ method, and the confidence interval method are equivalent and yield the same results. C. For a​ two-tailed hypothesis test with a 0.05 significance​ level, one must construct a​ 95% confidence interval. D. For a​ one-tailed hypothesis test with a 0.05 significance​ level, one must construct a​ 90% confidence interval.

Answers

Answer:

The​ P-value method and the classical method are not equivalent to the confidence interval method in that they may yield different results ( A )

Step-by-step explanation:

The False statement about using the confidence interval method when testing a claim about  μ when  σ is​ unknown is ; The​ P-value method and the classical method are not equivalent to the confidence interval method in that they may yield different results

This is because sometimes the values gotten from the p-value and confidence interval differs and this occurs mostly when the sample size is very small.

PLS HELP FOR 78 POINTS AND PLS NO POINTLESS LINKS

Answers

Answer:

1. 12.9

2. 14

Step-by-step explanation:

11, 18, 7, 14, 5, 16, 14. 18

Added Together it is 103.

Divided by 8, it is around 12.9

5, 7, 11, 14, 14, 16, 18, 18

Answer:

12.9 and 14

Step-by-step explanation:

Given data:

11, 18, 7, 14, 5, 16, 14, 18

Mean is the average:

(11 + 18 + 7 + 14 + 5 + 16 + 14 + 18)/ 8 = 12.875 ≈ 12.9

Put the data in the ascending order, the median is the average of the two middle numbers when number of data is even:

5, 7, 11, 14, 14, 16, 18, 18Median is 14 as both middle numbers are same

On Monday a local hamburger shop sold a combined total of 390 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Monday?

Answers

Answer:

Hamburgers + Cheeseburgers= 390

Hamburgers= x

Cheeseburgers= 2x

2x+x= 390

3x=390

x=130

Hamburgers sold= 130

What is the value of x and y?

Answers

Answer:

Step-by-step explanation:

[tex]\frac{x}{42}=tan 30=\frac{1}{\sqrt{3} }\\x=\frac{42}{\sqrt{3} } \times \frac{\sqrt{3}}{\sqrt{3}} =14\sqrt{3} \\\frac{42}{y} =\cos ~30=\frac{\sqrt{3}}{2} \\y=\frac{84}{\sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}} =\frac{84 \sqrt{3}}{3} =28 {\sqrt{3}}[/tex]

-2a + 5b + 6a + 8b combine like terms​

Answers

Answer:

4a + 13b

Step-by-step explanation:

-2a + 5b + 6a + 8b

combine like terms:

4a + 13b

Answer:

4a+13b

Step-by-step explanation:

-2a+6a+5b+8b. group like terms

4a+13b

PLS ANSWER FAST WILL GIVE BRANLIEST

Answers

Answer:

m<RTS=63

m<PTQ=27

Step-by-step explanation:

8x-17=5x+13

x=10

5(10)+13=63

8(10)-17=63

<RTQ=<UTQ

90-63=27

consider the triangle​

Answers

The answer to the question is 30

Malik is using a cookbook to make a recipe, but he cannot find his
measuring cups! He has, however, found a tablespoon. Inside the
back cover of the cookbook, it says that 1 cup = 16 tablespoons.
Determine how he could use the tablespoon to measure out the
following ingredients. Show each step of your solution.
• 2 cups of flour
• 12 cup sunflower seeds
• 194 cup of oatmeal in

Answers

Answer:

a. Given a number of tablespoons, find the number of cups:

1. Since he needs 2 cups, he can use 2×16=32 tablespoons.

2.Since he needs 1/2 cup, he can use 1/2×16=8 tablespoons.

He needs 1 1/4 cups. 1 cup is 16 tablespoons. 1/4 cup is 1/4×16=4 tablespoons. So altogether he needs 16+4=20 tablespoons.Given a number of cups, find the number of tablespoons:

I already found that 20 tablespoons is 1 1/4 cups. So for 28 tablespoons I need an additional 8 tablespoons, or an additional 1/2 cup. 1 1/4+1/2=1 3/4, so 28 tablespoons gets him 1 3/4 cups. (Alternatively, we might say that 1 tablespoon is 1/16 cups. 1/16×28=28/16, which we can rewrite as 1 12/16 or 1 3/4.)

I notice that to convert from tablespoons to cups, I always divide by 16. 6÷16=6/16, which we can write as 1 3/8. (Alternatively, 1 tablespoon is 1/16 cups. 1/16×6=6/16, which we can rewrite as 1 3/8.)

Step-by-step explanation:

Which table contains only values that satisfy
the equation y = 1.5x + 4
A
B
х
у
y
0
4
10
4
2
17
2
55
4
10
4
17
6
13
6
8.5
C
D
х
у
х
у
0
0
0
0
2
17
2.
4
10
4
5.5
Need H
16
13
0

Answers

Answer:

Table A

[tex]y = 1.5x + 4 \\ table \: A \: satisfies \: the \: equation[/tex]

Anyone know wat 792 divided by 5 is?

Answers

Answer:

158.4 i think

Step-by-step explanation:

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