Answer: So Remember that the range is how far the graph goes from down to up. Look at the furthest point down on the graph or the bottom of the graph. The y-value at this point is y = 1 y=1 y=1.
The area of a triangle is found by multiplying half of the measure of its base by its height. The area of the following right triangle is 18 square centimeters.
A. Write and solve an equation to find the value of h. Include all of your work in your answer.
B. In two or more complete sentences, verify your answer using mental math.
50 points
Answer:
[tex]\sf Area\:of\:a\:triangle=\dfrac12 \times base \times height[/tex]
Given:
area = 18 cm²base = 6 cmheight = (h + 1) cmSubstitute the given values into the equation and solve for h:
[tex]\sf \implies 18 = \sf \dfrac12 \times 6 \times (h+1)[/tex]
[tex]\sf \implies 18 = \sf \dfrac62 (h+1)[/tex]
[tex]\sf \implies 18 =3(h+1)[/tex]
expand using distributive property of addition [tex]a(b+c)=ab+ac[/tex]:
[tex]\sf \implies 18=3h+3[/tex]
subtract 3 from both sides:
[tex]\sf \implies 3h=15[/tex]
divide both sides by 3:
[tex]\sf \implies h=5[/tex]
To verify:
Half of the base is 3 cm.
If h=5, then the height of the triangle is 6 cm.
Multiplying 3 by 6 is 18.
This matches the given area, so we can verify that h = 5.
Answer:
Below!
Step-by-step explanation (a):Given:
Area of Triangle = 18 cm²Base of Triangle = 6 cmHeight of (Triangle = (h + 1) cmFormula:
[tex]\text{Area of triangle} = \dfrac{1}{2} \times \text{Base} \times \text{Height}[/tex]
Substitute the measures into the formula:
[tex]:\implies 18 \ \text{cm}^{2} = \dfrac{1}{2} \times 6 \times \text{(h} + 1\text{)}[/tex]
SImplify the R.H.S:
[tex]:\implies18 \ \text{cm}^{2} = 3 \times \text{(h} + 1\text{)}[/tex]
Divide both sides by 3:
[tex]:\implies \dfrac{18}{3} = \dfrac{3 \times \text{(h} + 1\text{)}}{3}[/tex]
Simplify both sides:
[tex]:\implies 6 = \text{(h} + 1\text{)}[/tex]
Subtract 1 both sides:
[tex]:\implies 6 - 1 = \text{h} + 1- 1[/tex]
Simplify both sides:
[tex]:\implies 5= \text{h}[/tex]
Step-by-step explanation (b):Reviewing on how to verify our answer:
We can verify our answer by substituting the value of "h" in (h + 1) to determine the height of the triangle. Then we can substitute the height and the base in the "area of triangle" formula (1/2 x Base x Height).
Note: Keep in mind that the evaluated area should be 18 cm², as said in the question. If the area evaluated is different from 18 cm², then the value of "h" is incorrect.Verifying our answer through mental math:
Clearly, the height of the triangle is 6 cm, as when "h" is substituted in the expression (h + 1), we get 5 + 1.As said above, the formula for determining the area of a triangle is 1/2 x Base x Height. Clearly, half of 6 is 3. Lastly, when 6 (Base) and 3 (Half of the height) are multiplied, we get 18 cm², which is the area stated in the question.Thus, the value of "h" is verified through mental math.
A small cube has a volume of 64 cubic feet. A larger cube has sides that are three times as long as the small cube. How long are the sides of each cube?
The side of a larger cube is equal to 12 ft meanwhile the side of a small cube is equal to 4 ft.
Volume of a CubeA cube is a 3D- form of a square and its volume is found in the formula:
V=s³, where: s is the length of each side of a cube.
If the small cube has a volume ([tex]V_s[/tex]) of 64 ft³, you can apply the formula V=s³ for finding its the length of its sides. Thus
[tex]V_s[/tex]=64 ft³
[tex]s_v^3[/tex]=64
[tex]s_v=\sqrt[3]{64}\\ \\ s_v=4 ft[/tex]
A larger cube has sides ([tex]s_l[/tex]) that are three times as long as the small cube. Therefore, [tex]s_l=3s_v[/tex]. If [tex]s_v[/tex]=4 ft, the [tex]s_l[/tex] will be:
[tex]s_l=3s_v\\ \\ s_l=3*4\\ \\ s_l=12 ft[/tex]
Read more about the volume of a cube here:
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What are the solutions to log subscript 6 baseline (x squared 8) = 1 log subscript 6 baseline (x)
The solution of the logarithmic equation is given by the antilog. Then the value of x is 2 and 4.
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The logarithmic equation is given below.
[tex]\log _6(x^{2} +8)= 1+ \log _6x\\\\\log _6(x^{2} +8)= \log_66+ \log _6x\\\\\log _6(x^{2} +8)= \log _66x\\[/tex]
Take antilog, then we have
[tex]\begin{aligned} x^{2} +8 &= 6x\\\\x^2 -6x + 8 &= 0\\\\x^2 -4x - 2x +8 &=0\\\\(x-4)(x-2) &= 0\\\\x&= 2, 4\end{aligned}[/tex]
Then the value of the x is 2 and 4.
More about the factorization link is given below.
https://brainly.com/question/6810544
Answer:
D. 2 and 4
Step-by-step explanation:
Santiago receives an allowance of $7 every week. how much total does he receive.
Answer:
7 for each week
Step-by-step explanation:
7:1 = 7 dollars in 1 week
14:2
21:3
28:4
35:5
42:6
49:7
56:8
63:9
70:10
77:11
84:12
Answer:
How many weeks 23 34 85? if its 23 161 if its 34 238 and if its 85 595
Step-by-step explanation:
I know the answer I just need to know how to solve it. The highlighted is the answer.
[tex]x^2+4x+4 = 8\\\\\implies x^2+2\cdot 2 \cdot x+2^2 = 8\\ \\\implies (x+2)^2 = 8\\\\\implies x+2 =\pm\sqrt 8\\\\\implies x +2 = \pm\sqrt{4 \times 2}\\\\\implies x +2 = \pm2\sqrt 2\\\\\implies x =-2 \pm2\sqrt2[/tex]
An isosceles triangle MNP has one angle, N, with a measure of 20". The
angles M and Pare congruent. Which is the measure of angle P?
P=80º
Start by doing 180-20 since N=20
M and P are congruent, so P = 160/2
P=80
Amir has $50 in a bank account. Every month, he pays $3.99 from his account for a game app. After 6 months, Amir wants to spend$25.00 on a school T-shirt. Does he have enough money in his bank account to buy the shirt?
yes and you also have $1.06 as a remainder.
hope it helps..!!!
please help me solve this!!!!!!
Answer:
C. 9
Step-by-step explanation:
y = -4x^2 + 2kx
subtitute 3:
y = -4(9)^2 + 2k(9)
y = -4(81) + 18k
let y = 0
=> 0 = -324 + 18k
=> k = 324/18 = 9
this is my calculations hope it helps
You have $5,000 to invest for ten years. The Bank pays simple interest at an annual rate of 5%. Calculate your balance after 10 years.
Answer: $7,500
Step-by-step explanation:
Use the formula: SI = P(1 + rt)
SI = 5000(1 + 0.05[10])
SI = 5000 + 2500
SI = $7,500
After 10 years, your balance should be $7,500
A quadratic equation of the form 0=ax2 bx c has a discriminant value of -16. how many real number solutions does the equation have? -1 0 1 2
The provided quadratic equation, which has a negative discriminant value of -16, has no real number solutions.
What is the discriminant value in a quadratic equation?The standard form of the quadratic equation is,
[tex]ax^2+bx+c=0[/tex]
Here,(a,b, c) is the real numbers and (x) is the variable.
For this equation, the discriminant value can be given as,
[tex]D=b^2-4ac[/tex]
In this equation,
If the discriminant value is positive (D>0), then the equation has 2 real solution.If the discriminant value is equal to zero (D=0), then the equation has 1 real solution.When the discriminant value is negative (D<0), then the equation has 2 imaginary solution.The quadratic equation given as,
[tex]0=ax^2 +bx +c[/tex]
This quadratic equation has a discriminant value of -16. As the value of discriminant is negative, thus it has no real solution.
Hence, the provided quadratic equation, which has a negative discriminant value of -16, has no real number solutions.
Learn more about the discriminant value here;
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solve this correctly to become the love of my life
Answer:
It is B.
Step-by-step explanation:
explanation is in the pic.
Chang bought a pad of paper for $1.50, a pen for $.80, and a ruler for $0.90 at the school store.
How much did Chang spend?
O A. $2.70
B. $3.20
C. $10.40
D. $18.50
Add the prices together:
1.50 + 0.80 + 0.90 = 3.20
Answer: B. $3.20
Answer:
$ 3.20 (Answer B)
Step-by-step explanation:
Add up the three prices given:
$1.50
0.80
0.90
-------------
$ 3.20 (Answer B)
what is the answer to this problem
Answer:
∠1 = 130°
∠2 = 50°
∠3 = 130°
Step-by-step explanation:
As we can see Angles 1 and 50° are on a straight line. As :
Angles on a straight line add up to 180. So :
50 + ∠1 = 180
∠1 = 180-50
∠1 = 130
As we can angles 1 and 2 are on a straight line. As :
Angles on a straight line add up to 180. So :
∠1 + ∠2 = 180
As we worked out ∠1 we can substitute that in to work out ∠2 :
130 + ∠2 = 180
∠2 = 180-130
∠2 = 50
As we can angles 2 and 3 are on a straight line. As :
Angles on a straight line add up to 180. So :
∠2 + ∠3 = 180
As we worked out ∠2 we can substitute that in to work out ∠3 :
50 + ∠3 = 180
∠3 = 180-50
∠3 = 130
Hope this helped and brainliest please.
Use the picture I provided to help me answer the question.
Answer:
both answer is wrong because in this expression
4g+12-g+5
3g+17 is the answer
What is the perimeter of this rectangle? a. 2(x2 − x1) 2(y2 − y1) b. (x2 − x1)(y2 − y1) c. d. e. 4(y2 − x1)(x2 − y1)
The perimeter of the rectangle of length (x₂ - x₁) and width (y₂ - y₁) will be 2(x₂ - x₁) + 2(y₂ - y₁). Then the correct option is A.
What is a rectangle?It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.
The length of the rectangle will be (x₂ - x₁) and the width of the rectangle will be (y₂ - y₁).
Then the perimeter of the rectangle will be
Perimeter = 2(x₂ - x₁) + 2(y₂ - y₁)
More about the rectangle link is given below.
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Suppose you pull a card from a standard 52-card deck. Find Place or black). Express your answer as a fraction in simplest form.
Answer:
32/52 = 16/26 = 8/13
Step-by-step explanation:
If only Black cards = 26 this includes all black face cards
Face cards = 3 in each suit, 2 red suits so 3 × 2=6
26 + 6 = 32
What is the fifth term of the sequence?
a = m
an = 2an-1
=
0 2m
O 4m
O 8m
O 16m
Answer:
8m
Step-by-step explanation:
an = 2 an-1 means that each term in the sequence( except the first) is obtained by multiplying the last term by 2, so the first 4 terms are m, 2m, 4m, 8m.
si 3×+0.15=1,29 cuál es el valor de x
Answer:
x=0.38
Step-by-step explanation:
3x+0.15=1.29 1. -0.15 on both sides
3x=1.14 2. /3 on both sides
x=0.38
.
The largest packet has 35
cards, 14 of which are blue
And rest are green
we know that,
probability = no. of favourable outcomes/total outcomes
so,
probability of getting a blue card
=> 14/35 = 2/5probability of getting a green card
=> 21/35 = 3/5Ver en español
Victor wants to learn to snowboard. He went to Snowy Ridge Mountain and rented a snowboard for $35, then took 5 hours of group snowboarding lessons. Victor paid $175 in all.
Which equation can you use to find how much Snowy Ridge charges, x, for each hour of group snowboarding lessons?
I need help with a math equation
Answer:
-29
Step-by-step explanation:
Remove the brackets: -20 - 9
= -29
Answer and you get brainliest
Answer:
m = 30w
Step-by-step explanation:
Answer:
The answer that looks the best is m=30w
Step-by-step explanation:
I asked my teacher and he said it was right
Look at this parallelogram. Find the value of s. perimeter = 20 feet
7ft and s
Answer: 3
Step-by-step explanation: perimeter = 2( length and width )
20 = 2(7 +s)
20 = 14 + 2s
6= 2s
S =3
which function’s domain consists of all real numbers expect 3?
Answer:
f(x)=3x−3
Step-by-step explanation:
hope this helps.
Two numbers have a product equal to 24x²-74x + 42. One number is represented by the expression -8x+6. Find the binomial expression that represents the other number
Answer:
-3x + 7
Step-by-step explanation:
Divide -8x + 6 into the product to find the other is -3x+7
y= 45(1.6)^2
I need help with this, thanks!
URGENT HELP ASAP GRADE 11 MATH
Step-by-step explanation:
Shouldn't it be x^1 y. It's Because these are cancelled out.
Cindy's apartment complex is offering renters insurance through their insurance company. the insurance company charges an annual premium of $565.00 which can be paid in equal payments throughout the year with her monthly rent. cindy's monthly rent is currently $789.00. what will cindy's new rent be if she includes the renters insurance? a. $47.08 b. $630.75 c. $836.08 d. $1,354.00
Cindy's new rent when she includes the renter's insurance will be C. $836.08.
What is renters insurance?As an insurance policy, renters insurance offers the policyholder insurance coverage over personal belongings, liabilities, and living expenses.
Data and Calculations
Annual insurance premium = $565.00
Monthly insurance premium = $47.08 ($565/12)
Current monthly rent = $789.00
Cindy's new rent with the renters insurance included = $836.08 ($789.00 + $47.08).
Thus, Cindy's new rent when she includes the renter's insurance will be C. $836.08.
To learn more return insurance visit:
https://brainly.com/question/24441770
The other person is correct!
The answer is C: $836.08
------------------------------------------------------------
Have a great day and God bless! :D
Find the center and radius of the circle defined by the equation given below.
22 + 2x + y2 + 10y = 15
A:center (-1, – 5), radius: 15
B:center. (1, 5), radius: 15
C:center. (-1, – 5), radius: 141
D: center. (1, 5), radius: 41
Answer:
your question seem off but if its x² + 2x + y² +10y=15
Step-by-step explanation:
the answer will be
center = (-1,-5)
radius = square root 41
which will be C:center (-1,-5), radius square root 41
Which weight occurs most often? Which weight occurs least often? How can you tell from the line plot?