Answer:
See answers below.
Step-by-step explanation:
Large Rectangle: length x width = (x + 3)(x - 4) =
x² - 4x + 3x - 12
x² - x - 12
Smaller Rectangle: length x width = (x)(3) = 3x
Shaded Region: shaded area = lg. rectangle minus small rectangle
A = (x² - x - 12) - 3x
A = x² - 4x - 12
Solve for x, if shaded reion's area is 48 square units:
48 = x² - 4x - 12
x² - 4x - 12 -48 = 0
x² - 4x - 60 = 0
(x - 10)(x + 6) = 0
x - 10 = 0 or x + 6 = 0
x = 10 or x = -6
But x represents a length, so x cannot be -6.
x = 10
Please help!!!!!
I took an picture of the question
Answer:
6
Step-by-step explanation:
Remember f(x) or g(x) in this case is like saying 'y' so when y = 0 x = 6
In ΔDEF, the measure of ∠F=90°, the measure of ∠D=67°, and FD = 7.4 feet. Find the length of EF to the nearest tenth of a foot.
Answer:
14.2 ft
Step-by-step explanation:
tan 66° = 32/ FD
FD = 32 / tan 66° = 32 / 2.246 = 14.2
hope it helped you
Answer:
17.4
Step-by-step explanation:
\tan D = \frac{\text{opposite}}{\text{adjacent}}=\frac{x}{7.4}
tanD=
adjacent
opposite
=
7.4
x
\tan 67=\frac{x}{7.4}
tan67=
7.4
x
7.4\tan 67=x
7.4tan67=x
Type into calculator and round to the nearest tenth of a foot.
please i will mark you brill help me
Answer:
2n + 20
Step-by-step explanation:
Plot 7 + 3i in the complex plane.
Answer:
See attached image
Step-by-step explanation:
In the complex plane, the x-axis represents real numbers and the y-axis represents imaginary numbers.
A system of equations is shown below,
y = 5x + 2
10x - 2y = 12
what is the solution to the system of equations?
While making soup, Jenna added 5 fluid ounces of broth. About how many milliliters of broth does she add to her soup?
please help as fast as posible this is 100 pints
Answer:
148
Step-by-step explanation:
5 times 29.6
need help fast thanks
Answer: AOS: x =3 Vertex at (3,2)
Step-by-step explanation:
What is the solution set for (2x-7)^2=25
The solution set for the quadratic equation (2x - 7)² = 25 is 6 and 1.
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
The solution set for a quadratic equation is the roots of the quadratic equation.
Given, (2x - 7)² = 25.
2x - 7 = ± 5.
2x = ± 5 + 7.
x = (± 5 + 7)/2.
x = 12/2 Or 2/2.
x = 6 or 1.
learn more about quadratic equations here :
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Please help!! I have to turn this is QUICK!!
Kenya bought 4 boxes of
pencils for $3.99 each. She
also bought 2 boxes of
markers for $4.99 each. If
she paid the cashier with a
$50 bill, how much change
will Kenya get back?
Answer:
$24.06
Step-by-step explanation:
pencils: x
markers = m
y = total
y - (4x + 2m)
50 - (4*3.99 + 2*4.99)
50 - (15.96 + 9.98)
50 - 25.94
24.06
Answer:
24.94
Step-by-step explanation:
4 times 3.99 is 15.96
2 times 4.99 is 9.98
15.96 plus 9.98
The measurements of a rectangular room, in a scale drawing, are 2 inches by 3
inches. The scale is inch = 3 feet. If carpet costs $1.75 per square foot, how much will
it cost to put carpet in this room?
Answer:
so,
the room (2×3) × (3×3) feet, or 6x9 feet.
6x9= 54square feet
54 x 1.75= $94.50
Kiki's mother cooked a dinner that contained a total of 992 calories. She also prepared a dessert that contained a total of 846 calories. The dinner was divided into 4 equal servings. The dessert was divided into 6 equal
servings. Kiki had one serving of dinner and one serving of dessert.
Which equation could be used to solve for n, the number of calories that kiki
ate?
A. n = 992 x 4 + 846 x 6
B. n = 1,838 / 10
C. n = 992 / 4 + 846 / 6
D. n = 992 / 4 - 846 / 6
Answer: C
Step-by-step explanation:
992/4=165
846/6=141
165+141=306
(992/4) + (846/6) = 306 total calories consumed
I just need brainliest please
Answer:
alright if you give me brianliest on this, when you answer one of my questions ill give you brainliest. brailiest for a brianliest?
Step-by-step explanation:
Answer
Catfishing, In LOl rate 0-10 Im bored
Step-by-step explanation:
work out the size if angle x 130 degrees and 96 degrees
Answer:
130= x+96
130-96=x
34=x
Step-by-step explanation:
Answer:
34°
Step-by-step explanation:
130+50=180 (straight line)
50+96=146
180-146=34°
0.5 divided by 0.05 plz show work
Answer:
Step-by-step explanation:
Answer: 10
working below!
Find the exact value of the product cos82.5cos52.5
what are the x and y intercepts of the equation 2x-y=4
Answer:
x-intercept:(2,0)
y-intercept:(0,-4)
Step-by-step explanation:
after 3 new students joined, the class had 26 students. which equations can be used to find n, the number of students in class before the 3 new students joined?
Answer:
23 were there
Step-by-step explanation:
26 - 3 = 25
helped
A: 3n =26
B: n - 3 =26
C: n + 3 =26
D n/3 =26
PLEASE HELP I WILL GIVE BRAINLIEST!!
Answer:
43.96
Step-by-step explanation:
To find Circumference the formula is
2*3.14*R=C
replace R with your radious which is 7
2*3.14*7=43.96
Find the missing term: 4x + x + ______ = 7x
Answer:
2x
Step-by-step explanation:
2x + 4x + x = 7x
good luck, i hope this helps :)
Answer:
2x
Step-by-step explanation:
x with no coefficient is 1x
4x+1x=5x
7x-5x= 2x (ur answer)
the cost of a ticket increases by 10% to £19.35 work out the original cost
Answer:
£17.59
Step-by-step explanation:
100 + 10 = 110% (Price of a ticket after increase)
110% = 19.35
1% = 19.35 ÷ 110 = 0.1759
100% = 0.1759 x 100 = 17.59
plz is this correct
?
Answer:
It's 3 and 177.
Step-by-step explanation:
Let the angle be x°. Then its supplementary is 59x°.
We know,
x+ 59x=180
or, x = 3°
and another angle, 59x°= 177°
someone please help on this homework question
Answer:
25%, 40 trees, 50%, 36 trees
hat is the surface area of a cylinder that has a volume if 785.4in3 and a radius of 5 in?
A 471.2in2
B 10in2
C 150in2
D 4712.3in2
Answer:
A. 471.2 in²Step-by-step explanation:
Cylinder volume:
V = πr²hCylinder surface area:
A = 2πr(r + h)Find h from the first equation:
h = V/(πr²) = 785.4/(3.14*5²) = 10 inFind surface area:
A = 2π(5)(5 + 10) = 471.23 in²Correct choice is A
Answer:
volume of cylinder=πr²h
785.4=22/7×5²×h
h=785.4×7/(22×25)=9.99=10in
Step-by-step explanation:
surface area of cylinder =2πr(r+h)=2π×5(5+10)=
471.238898038in²
A 471.2in2 is your answer.
Simplify by combining like terms (3x2-5x- 6x)+(5x2+4x+4)
Step-by-step explanation:
I hope this helps. ans:9x+4
Shade the fraction circles to represent each mixed number.. 1 3/5 +2 2/5 equals
When simplifying radical expressions, what combination of factors are you looking for and why?
0.4x + 2.9 = 1.5
what is x
Answer:
x= −3.5
youre welcome
Answer:
x= -3.5
Step-by-step explanation:
Step 1: Subtract 2.9 from both sides.
Step 2: Divide both sides by 0.4.
Which is the approximate solution to the system y=
0.5x+ 3.5 and y= -2/3x + 1/3
shown on the graph?
Bob gets paid an annual salary of $30,000 and earns 5% commission on all sales he makes. If Bob wants to make $6,000 this month, how much in sales does he need to have?
a.
$50,000
b.
$70,000
c.
$90,000
d.
$120,000
Answer:
The answer is 70,000 sales.
Bob gets paid an annual salary of $30,000, which means that monthly he gets:
$30,000 : 12 months = $2,500 per month
x - number of sales
Bob earns 5% commission on all sales he makes: x * 5% = x * 0.05 = 0.05x
The function is:
f(x) = 2,500 + 0.05x
Bob wants to make $6,000 this month: f(x) = 6,000
2500 + 0.05x = 6000
0.05x = 6000 - 2500
0.05x = 3500
x = 3500 : 0.05
x = 70000 sales
Step-by-step explanation:
Sales for the month should amount to $70,000
Annual salary = $30,000
Commission on sales = 5%
To make 6000 in a month :
Monthly salary = $30000 / 12 = $2500
Month earning = $2500 + 5% × (monthly sales)
Month earning = $6000
Let month sales = m
6000 = 2500 + 0.05m
6000 - 2500 = 0.05m
3500 = 0.05m
m = 3500 / 0.05
m = 70,000
Sales for the month should be 70,000
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How much energy, in joules, is released by an earthquake of magnitude 4?
Answer:
25,118,864,315 J
Step-by-step explanation: