The base of a triangle is 4 cm greater than the height the area is 30 cm² find the height and the length of the base

Answers

Answer 1

Answer:

answer is 15 cm²

plz give me the brainliest

Answer 2

Answer:

height = 6 cm

Base  = 10 cm

Step-by-step explanation:

Let height  = h cm

Base           = h + 4

Area of triangle  = 30 cm²

       [tex]\frac{1}{2}bh = 30\\\\\frac{1}{2}*( h + 4) *h = 30\\[/tex]

Multiply the equation by 2

(h + 4) * h = 30*2

h*h + 4*h = 60

h² + 4h = 60

h² + 4h - 60 = 0

Product = -60

Sum  = 4

Factors = 10, (-6)

h² + 10h - 6h - 6 * 10 = 0

h(h + 10) - 6(h + 10) = 0

(h +10)(h - 6) = 0

{Ignore h + 10 = 0 because measurements will not be in negative}

h - 6 = 0

    h = 6 cm

    b = 6 + 4 = 10 cm


Related Questions

kx^2+k=8x-2xk

Find the range of values of k- there are two distinct roots.

I’m pretty sure you need to use the discriminate but i’m stuck so pls could somebody show me step by step

Answers

Answer:

i cant understans the quedtoion its worng bro

Dennis has made a purchase of $50,000

Answers

Really? On what? Man thats a lot of money.

9a + 8 - 20-3-50
Answer

Answers

Answer:

9a-65

Step-by-step explanation:

simply write 9a+(add the remaining numbers all together)

Choose an equivalent expression for 10^6 divided by 10^4

10^2
10^3
10^10
10^24

Answers

Answer:

10^2

Step-by-step explanation:

When dividing by powers you subtract the exponent, so 6-4

Answer:

stuff and stuff

Step-by-step explanation:

solve...

16= k/11
help

Answers

Answer:

k = 176

Step-by-step explanation:

16 = [tex]\frac{k}{11}[/tex]

11 × 16 = [tex]\frac{k}{11} *11[/tex]

176 = k

Answer:

k = 176

Step-by-step explanation:

16 = k/11

16x11  = k/11 x 11

176 = k

Jill is factoring the expression 13 x y minus 52 y. Her work is shown below.

Factors of 13 x y: 1, 13, x, y
Factors of 52y: 1, 2, 26, 52, y
GCF: y
Factored expression: y (13 x minus 52)

Which best describes the accuracy of Jill’s solution?
Jill’s solution is accurate.
Jill omitted a factor pair, which affected the GCF and factored expression.
Jill made an error when determining the GCF from her list of factors.
Jill made an error when writing the factored expression.

Answers

Answer:

the answer is the last choice

Answer:

d

Step-by-step explanation:

A recent telephone poll of 1000 randomly selected adults revealed that 2 in 10 adults believe there has been progress in finding a cure for cancer in the last 28 years. Describe the​ population, sample, population​ parameters, and sample statistics.

Answers

Answer:

Explained below.

Step-by-step explanation:

A population is the set of all the data that can be collected and from which a smaller set of data is drawn for further examination. A population may denote to a group of individuals, articles, trials or measurements. A population can thus be called as a collection of information regarding subjects combined together by a common characteristic.

In this case, the population consists of all people in the country.

A sample denotes a smaller, controllable form of a larger cluster. It is a subset comprising of the characteristics of a bigger population. Samples are used in statistical experiments when the population under consideration is too large for the test to include all the members.

In this case, the sample consists of 1000 randomly selected adults.

A parameter is a valuable element of statistical analysis. It denotes the characteristics that are used to define a given population. It is used to define a particular attribute of the population. For instance, population mean, population standard deviation, population proportion and so on.

In this case, the population​ parameter is the proportion of adults who believe there has been progress in finding a cure for cancer in the last 28years.

A statistic is the value of the characteristics that are computed using this sample. For instance, sample mean, sample standard deviation, sample proportion and so on.

In this case, the sample statistic is the 0.20 proportion of adults believe there has been progress in finding a cure for cancer in the last 28 years.

The population of Afghanistan is growing at a rate of 1.3% per year. In 2014 there were 30 million people in Afghanistan. The population (in millions) of Afghanistan x years after 2014 can be approximated by the function
f(x)=30(1.013)^x

a. Use the function to predict the population in Afghanistan in 2024.
b. Use the function to predict the population in Afghanistan in 2100.
c. Use the function to predict when (during what year) the population of Afghanistan will reach 50 million. (Feel free to use the online equation solver and/or grapher for this one.)

Answers

I’m gonna go with answer B

If 1 inch = 2.54 centimeters, how many inches are in 328 centimeters? Round to the nearest hundredth.

Answers

Answer:

2.54 cm in 1 inch......how many inches in 51.78 cm...

51.78 / 2.54 = 20.4 inches <==

or this way...

2.54 / 1 = 51.78 / x....2.54 cm to 1 in = 51.78 cm to x inches

cross multiply

(2.54)(x) = 51.78)(1)

2.54x = 51.78

x = 51.78 / 2.54

x = 20.4 inches <==

Step-by-step explanation:

Answer:

129.134 rounded will be 129.1

Step-by-step explanation:

HOPE THIS HELPS :)

The graph shows the speed of sally the sloth. How long would it take Sally to travel 9 feet

Answers

Answer:

dude wheres the choices

Step-by-step explanation:

Which of these equations represents the graph below?


y = 2x + 3



y = 3x - 2



y = 3x + 2



y=2x - 3

Answers

y=2x-3

Explanation: y=mx+b
b is where the slope going over the y axis which is -3. mx is the slope which is rise over run, the line rises 2 and goes over 1 making it y=2x-3

X intercept for -3x+10

Answers

Answer:

(10/3, 0)

Step-by-step explanation:

(10/3, 0)



how this helps

An ice cream factory makes 310 quarts of ice cream in 5 hours. How many quarts can they make per hour?

Answers

62 quarts per hour.

310/5
310 divided by 5 is 62 so you’re answer would be 62 quarts per hour :)

Simplify 3r(4r-5s)+2r(-6r-9s)

Answers

Answer:

-33rs

Step-by-step explanation:

First, distribute in the first part of the equation.

3r(4r-5s)=12r-15rs

Now, distribute in the first part of the equation.

2r(-6r-9s)=-12r-18rs

Combine this together.

12r-15sr-12r-18rs

Combine like terms. (12r and -12r will cancel out to 0.)

-33rs

Hope this helps! Have a wonderful day ^^

Answer:

[tex]\boxed {-33rs}[/tex]

Step-by-step explanation:

Simplify the expression:

[tex]3r(4r - 5s) + 2r(-6r - 9s)[/tex]

-Use Distributive Property:

[tex]3r(4r - 5s) + 2r(-6r - 9s)[/tex]

[tex]12r^{2} - 15rs - 12r^{2} - 18rs[/tex]

-Combine both [tex]12r^{2}[/tex] and [tex]-12r^{2}[/tex]:

[tex]12r^{2} - 15rs - 12r^{2} - 18rs[/tex]

[tex]-15rs - 18rs[/tex]

-Then, combine both [tex]15rs[/tex] and [tex]18rs[/tex]:

[tex]-15rs - 18rs[/tex]

[tex]\boxed {-33rs}[/tex] (final answer)

Solve the equation 3(x + 4.5) = 36.

If you get stuck, use the diagram. first one and with an explanation will get brainllest

Answers

Answer:

.75

Step-by-step explanation:

there is prof

rewrite the function f(x)=3(x-1)^2+9 in the form f(x)=ax^2+bx+c

Answers

Answer:

f(x) = 3x² - 6x + 12

General Formulas and Concepts:

Order of Operations: BPEMDAS Expand by FOIL (First Outside Inside Last) Standard Form: f(x) = ax² + bx + c Vertex Form: f(x) = a(bx + c)² + d

Step-by-step explanation:

Step 1: Define function

Vertex Form: f(x) = 3(x - 1)² + 9

Step 2: Find Standard Form

Expand by FOILing:                         f(x) = 3(x² - 2x + 1) + 9Distribute 3:                                      f(x) = 3x² - 6x + 3 + 9Combine like terms (constants):     f(x) = 3x² - 6x + 12

if a sprinkler waters 1/14 of a lawn in 1/2 hour, how much time will it take to water the entire lawn

Answers

Answer:

7 hours

Step-by-step explanation:

1/14 * 14 = 1 whole lawn

1/2 hours = 30 minutes

14 * 30 = 420 minutes to water entire lawn

420 minutes = 7 hours

Carter answered 5% of the questions
on a math test incorrectly, or 1
question. What fraction of the
questions did Carter answer correctly?

Answers

Answer:19/20

1-20=19

1÷20=0.05

0.05=5%

I hope this is good enough:

Find the average rate of change of h(x) = - x ^ 2 + 3x + 3 from x = 2 to x = 6 .

Answers

Answer:

The average rate of change is

Δy ÷ Δx = -20 ÷ 4

Δy/Δx = -20/4

          = -5      

Step-by-step explanation:

Given the function

[tex]h\left(x\right)\:=\:-x^2\:+\:3x\:+\:3[/tex]

Putting x = 6

[tex]h\left(6\right)\:=\:-\left(6\right)^2\:+\:3\left(6\right)\:+\:3[/tex]

         [tex]=-36+18+3[/tex]

          [tex]=-15[/tex]

Putting x = 2

[tex]h\left(2\right)\:=\:-\left(2\right)^2\:+\:3\left(2\right)\:+\:3[/tex]

         [tex]= -4 + 6 +3[/tex]

         [tex]= 5[/tex]

The change in y from 2 to 6 is

Δy = -15 - 5

    = -20

The interval from 2 to 6 has a width of

Δx = 6 - 2

     = 4

Therefore, the average rate of change is

Δy ÷ Δx = -20 ÷ 4

Δy/Δx = -20/4

          = -5      

PLEASE HELP ME! THANK YOU !!

Answers

Doamin of the function

inf

Terrence is learning how to play the piano. Each lesson costs $18.50, and he usually pays for a whole month in advance. If he has 4 lessons scheduled for next month, how much will he pay?

Answers

Answer:

$74

Step-by-step explanation:

If each lesson is 18.50 and he has 4 lessons next month, you multiply 18.50 by 4 which you will get 74. So he has to pay $74

Answer:

$74

Step-by-step explanation:

7 4/10 greater than 7.421

Answers

Answer:

False

Step-by-step explanation:

7 4/10= 7.4

7.4<7.421

Please help
What is 1. answer abc
What is 2. abcd
What is E and F
Also what is x
Help

Answers

Answer:

Step-by-step explanation:

1 × a = a

a² = a*a ; a³ = a*a*a .....

[tex](\frac{a}{b}) ^{n} = \frac{a^{n} }{b^{n} }[/tex]

(1).

(a). [tex]7^{5}[/tex]

(b). [tex](\frac{1}{7}) ^{6}[/tex] = [tex]\frac{1}{7^{6} }[/tex]

(c). [tex](9.3)^{9}[/tex]

(2).

(e). [tex](\frac{1}{2} )^{4} =\frac{1}{2^{4} }[/tex] = [tex]\frac{1}{2*2*2*2}[/tex] = [tex]\frac{1}{16}[/tex]

(f). [tex](\frac{1}{3} )^{2}[/tex] = [tex]\frac{1}{3}[/tex] × [tex]\frac{1}{3}[/tex] = [tex]\frac{1}{9}[/tex]

(3).

x² = 30² + 16² = 900 + 256 = 1156 = 34² ⇒ x = 34 units

Find the derivative of the function.
3
f(x) = 4x + 20x4
f'(x)=

Answers

Answer:

f'(x) = 4 + 80x³

General Formulas and Concepts:

Calculus

The definition of a derivative is the slope of the tangent line.

We can take the derivative/distribute it over addition and subtraction.

Basic Power Rule:  

f(x) = cxⁿ  f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define function

f(x) = 4x + 20x⁴

Step 2: Find 1st derivative

Basic Power Rule (1st term):                    f'(x) = 4 · 1x¹⁻¹ + 20x⁴Basic Power Rule (2nd term):                  f'(x) = 4 · 1x¹⁻¹ + 20 · 4x⁴⁻¹Simplify:                                                    f'(x) = 4 + 80x³

8^x=2 what is x please help

Answers

x=1/3 Here is the work:

Answer:

Step-by-step explanation:

8 = 2^3

So 8^x =2 is 2^3x =2

Now they are same base.

So 3x =1 , x= 1/3

Plz answer fast I’m on a timer !!!

Answers

Answer:

option b is your correct answer

hy if it help you then mark me brilliant

.............

Can any of the experts help me on my new question for math? PLEASE!!!

Answers

Answer:

yes I can

but wheres the question

why dont you type it in the comments

22. Find the slope and Y intercept of the line 3x+4y-9=0​

Answers

hi there! here's my answer for you...

Answer:

slope:

m = -3/4

y-intercept:

y = −3x/4 + 9/4

hope this helped. have a good one!

What is the distance between these set of points?
(0,5) and (-3,0)

sorry i cant add the graph photo but please helppp

Answers

Step-by-step explanation:

applying the distance formula,

±√(0-5)^2 + (-3-0)^2 = ±√34 (rej -√34 since distance > 0)

Topic: coordinate geometry

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

Parábola donde su directriz eje x

Answers

Answer:

umm realmente no lo sé

Step-by-step explanation:

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