Answer:
x = 3 ± [tex]\sqrt{5}[/tex]
Step-by-step explanation:
(x - 3)² = 5 ( take square root of both sides )
x - 3 = ± [tex]\sqrt{5}[/tex] ( add 3 to both sides )
x = 3 ± [tex]\sqrt{5}[/tex]
Answer:
×=5.5
Step-by-step explanation:
exact form would be 11/5
and mixed form is 5 1/2
Triangle DEF contains right angle E. If angle D measures 50° and its opposite side measures 7.6 units, what is the measure of side DE? Round your answer to the nearest hundredth. 4.89 units 5.34 units 6.38 units 9.06 units
Answer:
It is 6.38 units!
Step-by-step explanation:
I took the test and it was correct.
The measure of the side length DE is 6.38 units after applying the tan ratio in the right-angle triangle option (C) 6.38 units is correct.
What is a right-angle triangle?It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
We have a right-angle triangle given:
Triangle DEF contains right angle E. If angle D measures 50° and its opposite side measures 7.6 units,
After drawing the triangle:
Applying the tan ratio in the right-angle triangle:
tan50 = EF/DE
tan50 = 7.6/DE
DE = 7.6/tan50
DE = 6.377 ≈ 6.38 units
Thus, the measure of the side length DE is 6.38 units after applying the tan ratio in the right-angle triangle option (C) 6.38 units is correct.
Learn more about the right-angle triangle here:
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Region R is bounded by the curves y = 4x^2 and y = 4. A solid has base R, and cross sections perpendicular to the y-axis are semicircles with the diameter lying in R. The volume of this solid is
A. pi/4
B. pi/2
C. pi
D. 2pi
Each cross section has a diameter equal the horizontal distance between the two "halves" of the parabola. We have
y = 4x² ⇒ x = ±√y/2
so the diameter for some given y would be √y/2 - (-√y/2) = √y.
The volume of a cross section with thickness ∆y is then
π/2 (√y/2)² ∆y = π/8 y ∆y
The total volume of the solid would then be
[tex]\displaystyle \int_0^4 \frac\pi8 y \, dy = \frac\pi8 \times \frac12 y^2 \bigg|_{y=0}^{y=4} = \boxed{\pi}[/tex]
3x-6y=-12
x-2y=-8
Is it:
Inconsistent
Not enough information
Coincident
Consistent Independent
Answer:
(a) Inconsistent
Step-by-step explanation:
Two linear equations can be compared by putting both of them in standard form. Here, that means removing a common factor from the coefficients of the first equation.
3x -6y = -12 . . . . given first equation
x -2y = -4 . . . . . . divide by 3
Compare this to the second equation:
x -2y = -8
The constants (-4, -8) are different, so there are no values of x and y that can satisfy both equations. The equations are described as inconsistent.
Answer:
InconsistentStep-by-step explanation:
Equation 1
3x - 6y = -12Divide throughout by 3 to simpliest formx - 2y = -4Equation 2
x - 2y = -8On comparison, it is seen that the slopes are same, but the y-intercepts are different.
This means this has no solution, or the graph is inconsistent.
i forgot how to do this
help
Answer:
62.8 inStep-by-step explanation:
C=2πr
r=10in
C=2*π*10
C=20*3.14
62.8 in
Please help with algebra
In how many ways could you choose 3 side dishes from a menu that offers 5 vegetable side dishes
and 3 starches if you want at least one vegetable and one starch?
Using the Fundamental Counting Theorem, it is found that there are 90 ways to choose the three side dishes.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem:
For the vegetable, there are 5 options, hence [tex]n_1 = 5[/tex].For the starch, there are 3 options, hence [tex]n_2 = 3[/tex].The remaining dish is free, which means that there are 5 + 3 - 2 = 6 options, hence [tex]n_3 = 6[/tex].Then:
N = 5 x 3 x 6 = 90.
There are 90 ways to choose the three side dishes.
More can be learned about the Fundamental Counting Theorem at https://brainly.com/question/24314866
Which of the following are possible side lengths for a triangle
Answer:
B
Step-by-step explanation:
The two smallest sides of a triangle must be greater than the third, larger one.
A: 6 + 2 > 9
8 > 9
False
B: 5 + 7 > 8
12 > 8
True
C: 2 + 4 > 6
6 > 6
False
Four racers are racing on a track.
Raheem covers 26% of the track, Lila covers 38 of the track, Khalid covers 0. 3 of the track, and Juanita covers 0. 24 of the track.
List the people in order by the distance on the track each person covers from least to greatest
Find the value of AB in the given figure.
Answer:
AB = 6 cm
Step-by-step explanation:
[tex]In\:\triangle ABC,\:\angle B =90\degree...(Given)\\\\ side\: AB = side\: BC...(Given)\\\\\implies \angle BAC= \angle BCA= 45\degree\\\\\implies \triangle ABC\: is \: 45\degree-45\degree-90\degree \:\triangle\\\\\implies AB = \frac{1}{\sqrt 2} AC\\\\\implies AB = \frac{1}{\sqrt 2}\times 6\sqrt 2\\\\\implies AB = 6\: cm[/tex]
I need help in this problem
Answer:
Step-by-step explanation:
4x + 9y = 5
-4x + 7y = 11
Isolate y for 4x + 9y = 5
9y = 5-4x
y = (5-4x) / 9
Now plug it in this equation: -4x + 7y = 11
-4x + 7[(5-4x)/9] = 11
now just solve it.
-4x + (35 - 28x / 9) = 11
multiply both sides by 9
-36x + 35 - 28x = 99
-64x = 64
divide both sides by -64
x = 1
State the quadrant in which lies if secθ > 0
and cscθ < 0.
A) Quadrant I
B) Quadrant II
C) Quadrant III
D) Quadrant IV
Answer:
D
Step-by-step explanation:
secΘ > 0 in 1st and 4th quadrants
cscΘ < 0 in 2nd and 4th quadrants
then
secΘ > 0 and cscΘ < 0 in the 4th quadrant
Please help I will give
BRAINLY
5 STARS
and a THANKS
Answer:
1, 3, 5, 7
Step-by-step explanation:
the c stands for columns.
when c =1, there is 1 blue box. when c=2, there are 3 blue boxes, when c=3, there are 5 blue boxes....so on.
Answer:Day 26
Step-by-step explanation : just multiply the numbers
d=22in cuál es la circunferencia
Answer:
If the diameter is 22 and the radius would be half of 22 so it would be 11
Which expression is equivalent to 3(2x+4y)-y? Show your work
A. 17xy
B. 6x+12
C. 3(6xy)-y
D. 6(x+2y)-y
Hey there!
3(2x + 4y) - y
= 3(2x + 4y) - 1y
= 3(2x) + 3(4y) - 1y
= 6x + 12y - 1y
= 6x + 11y
LETS TEST OPTION D. FOR YOUR RESULT…
Option D.
6(x + 2y) - y
= 6(1x + 2y) - 1y
= 6(1x) + 6(2y) - 1y
= 6x + 12y - 1y
= 6x + 11y
6x + 11y = 6x + 11y which makes this statement TRUE ☑️
Therefore, your answer is:
Option D. 6(x + 2y) - y
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Solve this quadratic equation using the quadratic formula.
2x 2 - 2x = 1
[tex]x_{1} = \frac{1+\sqrt{3}}{2}[/tex] or [tex]x_{1} = \frac{1-\sqrt{3}}{2}[/tex]
Delia earns $10.50 per hour working at a restaurant. On Friday she spent 1 3/4 hours cleaning, 2 1/3 hours doing paperwork, and , 1 hours serving customers. What were Delia's earnings? A. $46.97 B. $47.25 C. $53.00 D. $57.75
John has expenses that total $4280 a month. He spends 22% on his mortgage for his home each month. How much of his total does he spend on his mortgage?
can i have help? (picture included)
Which statement about standard error is false?
O A. It is a measure of the variability of a statistic.
O B. It can be calculated using either the population or sample
standard deviation.
O C. It can be calculated as a
n
O D. It is an estimate of the standard deviation of a sampling
distribution.
Answer:
I'm pretty sure it's C.
Step-by-step explanation:
A segment 150 units long is divided into 3 parts in the ratio 2:3:5. How long is the shortest part?
win a brainliest for free by answering questions
Answer: 1.2
Step-by-step explanation:
The corner store sells one of its magazines for $ 6. 75 including tax. On one weekend the store collected $ 114. 75nfrom the sale of this particular magazine. What expression can be used to find the number of magazines, n, sold by the store for that weekend?
6. 75÷114. 75=n
6. 75÷n = 114. 75
6. 75n=114. 75
6. 75 + n= 114. 75
Answer:
6. 75n=114. 75
Step-by-step explanation:
each magazine cost: $6.75 plus tax
and on weekend the store collected it sale total: $114.75?
=> 6.75n = 114.75 = 17 magazines sold
simplify
p^2+pq+3qr+3pr
with steps
Answer: (p+q)(p+3r)
Step-by-step explanation:
p²+pq+3qr+3pr
Do the grouping p²+pq+3qr+3pr=(p²+pq)+(3qr+3pr), and factor out p in the first and 3r in the second group.
p(p+q)+3r(p+q)
Factor out common term p+q by using distributive property.
(p+q)(p+3r)
If you flip, slide, and then spin the preimage of a shape in the coordinate plane, what sequence of transformations have you performed?
A. reflection, rotation, rotation
B. reflection, translation, reflection
C. reflection, translation, translation
D. reflection, translation, rotation
Answer:
D
-by-step explanation:
all other is incorrect
helpppp please please
Answer:
the answer is 51.315
Step-by-step explanation:
hope i was able to help you out
find x and y intercepts y=(2x+10)(x-2)
Step-by-step explanation:
[tex]y = (2x + 10)(x - 2)[/tex]
[tex]y = 2x(x - 2) + 10(x - 2)[/tex]
[tex]y = 2x ^{2} - 4x + 10x - 20[/tex]
[tex]y = 2x ^{2} + 6x - 20[/tex]
[tex]to \: find \: x \: intercept \: y = 0[/tex]
[tex]0 = 2x ^{2} + 6x - 20[/tex]
[tex]x = 2 \: or \: - 5[/tex]
[tex]to \: find \: y \: intercept \: x = 0[/tex]
[tex]y = 2(0)^{2} + 6(0) - 20[/tex]
[tex]y = - 20[/tex]
Answer:
y = -20
x- 2, -5
Step-by-step explanation:
In a pile of cards, there are four hearts, twelve clubs, and eight diamonds. How many times would we expect a diamond to be drawn in 300 trials?
The correct answer is c. 100.
Step-by-step explanation:
Number of cards in the given pile = 24
Total number of diamond cards in the pile = 8
Probability of picking up a diamond in a draw of card from the pile is given by .
There are supposed to be 300 trials.
Therefore number of times a diamond card is picked from the pile is given by 300 × = 100.
Out of 300 trials to pick a card, about 100 times we can expect to have picked up a diamond card from the pile.
I DONT UNDERSTAND Julio bought a backpack for 39$ and 2 belts for 17$ each the sales tax is 6%. How much did Julio spend for all items including tax??
A-$59.64 C-$77.38
B-$63.00 D-$89.01
Answer: C
Steps:
39+17+17=73
73x0.06=4.38
4.38+73=77.38
Add the sales tax to price without tax
Answer:
C. $77.38
Step-by-step explanation:
Items + tax = total
Items × .06 = tax
OR
Items × 1.06 = total
39 + 17 + 17 = 73
73 × .06 = 4.38
73 + 4.38 = 77.38
OR
73 × 1.06 = 77.38
Jenni is eating a package of gummy bears. There are 4 red, 2 yellow and 3 green gummy bears left. What is the probability that she'll eat two yellows without looking in the bag.
Answer:
1/45
Step-by-step explanation:
Total = 10
Probaility of getting yellow: 2/10
Probbaility of getting yellow again: 1/9
2/10 * 1/9= 2/90 or 1/45
Estimate the perimeter and the area of the shaded figure.
A shaded composite figure is shown on a grid. The figure is made up of an isosceles triangle and an isosceles trapezoid. The triangle has a base of 6 units and height of 3 units. The trapezoid has a shorter base of 4 units, longer base of 6 units, and height of 3 units. The longer base of the trapezoid is aligned with the base of the triangle.
perimeter: about
units
area: about
square units
The shapes in the composite figures are a triangle and a trapezoid
The area of the figure is about 24 square units
The area of the figureThe dimensions of the figure are given as:
Triangle
Base = 6 unitsHeight = 3 unitsTrapezoid
Shorter base = 4 unitsLonger base = 6 unitsHeight = 3 unitsThe longer base of the trapezoid and the base of the triangle are aligned.
So, the area is:
Area = Area of triangle + Area of trapezoid
This gives
Area = 0.5 * base * height + 0.5 * (sum of bases) * height
So, we have:
Area = 0.5 * 6 * 3 + 0.5 * (4 + 6) * 3
Evaluate
Area = 24
The figure is needed to determine the perimeter
Hence, the area of the figure is about 24 square units
Read more about composite figures at:
https://brainly.com/question/21135654
Answer:
47.3
Step-by-step explanation:
yes
Please explain how you got to the answer. Brainly!!!!!
Answer:
11. 4
12. 2
13. 2
14. 2
15. 3
Step-by-step explanation:
Now that you already know how to find the degree of a monomial, we move to the degree of a polynomial. A polynomial is a sum of monomials. Each monomial that is part of a polynomial is called a term of the polynomial.
To find the degree of a polynomial, find the degree of each term of the polynomial. Then the highest degree of all the monomials is the degree of the polynomial.
11.
4x³y has degree 4
3x²y² has degree 4
-y³ has degree 3
The highets degree of all terms is 4, so the degree of the polynomial is 4.
12.
a has degree 1
b has degree 1
-c² has degree 2
The degree of the polynomial is 2.
13.
The degrees of the terms are, in order, 2, 2, 2.
The degree of the polynomial is 2.
14.
The degrees of the terms are, in order, 1, 2, 1.
The degree of the polynomial is 2.
15.
The degrees of the terms are, in order, 3, 2, 1.
The degree of the polynomial is 3.
A cylinder is inscribed in a right circular cone of height 5 and radius (at the base) equal to 6. What are the dimensions of such a cylinder which has maximum volume
Answer:
I dont know
Step-by-step explanation: