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kow [346]
4 years ago
14

Name the relationship

Mathematics
1 answer:
Karolina [17]4 years ago
7 0

Answer:

complementary

Step-by-step explanation:

complementary angles are two angles that can be added together to get 90°. as indicated by the small red square, the sum of the two angles is a right angle which means its equal to 90°.

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a supplier sells 2 1/4 pounds of mulch for every 1 1/3 pounds of gravel. The supplier sells 172 pounds of mulch and gravel combi
laila [671]

We first write the fractions in their decimal forms and find out the ratio.

2 1/4 is equivalent to 2.25, and 1 1/3  is equivalent to 1.33

Ratio will be 2.25 / 1.33 = 1.69  or 1.7 rounded off. Since it cannot be simplified further, then the ratio of mulch to gravel will be 1.7: 1

Quantity of mulch sold → 1.7/2.7 of 172 →0.629 ×172 = 108.2 pounds

Quantity of gravel sold will be  172 -108. 2 = 63 .8 pounds



6 0
3 years ago
Is 47.2 greater than 47.197?​
DaniilM [7]
Yes. Since neither are rounded, 46.2 would be greater.
7 0
1 year ago
Read 2 more answers
Evan’s family drove to a theme park for vacation. Assume they drove the same speed throughout the trip. The first day, they drov
Pepsi [2]
In the given problem the best hint that is given for getting to the answer is that Evan's family drove at the same speed each day.
Then
On the first day the speed of the car = Distance/time
                                                           = 300/6
                                                           = 50 miles/hour
Then for calculating the distance traveled on the third day = speed * time
                                                                                             = 50 * 3
                                                                                             = 150 miles
Then on the third day they arrived at the park by driving 150 miles in 3 hours. So the correct option is option "C".
8 0
4 years ago
Read 2 more answers
F(x) = 3x + x3
____ [38]

Answer:

Please check the explanation.

Step-by-step explanation:

Given

f(x) = 3x + x³

Taking differentiate

\frac{d}{dx}\left(3x+x^3\right)

\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'

=\frac{d}{dx}\left(3x\right)+\frac{d}{dx}\left(x^3\right)

solving

\frac{d}{dx}\left(3x\right)

\mathrm{Take\:the\:constant\:out}:\quad \left(a\cdot f\right)'=a\cdot f\:'

=3\frac{d}{dx}\left(x\right)

\mathrm{Apply\:the\:common\:derivative}:\quad \frac{d}{dx}\left(x\right)=1

=3\cdot \:1

=3

now solving

\frac{d}{dx}\left(x^3\right)

\mathrm{Apply\:the\:Power\:Rule}:\quad \frac{d}{dx}\left(x^a\right)=a\cdot x^{a-1}

=3x^{3-1}

=3x^2

Thus, the expression becomes

\frac{d}{dx}\left(3x+x^3\right)=\frac{d}{dx}\left(3x\right)+\frac{d}{dx}\left(x^3\right)

                    =3+3x^2

Thus,

f'(x) = 3 + 3x²

Given that f'(x) = 15

substituting the value  f'(x) = 15 in f'(x) = 3 + 3x²

f'(x) = 3 + 3x²

15 =  3 + 3x²

switch sides

3 + 3x² = 15

3x² = 15-3

3x² = 12

Divide both sides by 3

x² = 4

\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}

x=\sqrt{4},\:x=-\sqrt{4}

x=2,\:x=-2

Thus, the value of x​ will be:

x=2,\:x=-2

5 0
3 years ago
A winning football team more than doubled. The offensive yards gained by its opponent. The opponent gained 272 offensive yards.
Daniel [21]

Answer:

80x>2*272

More than 6.8 yards per game.

Step-by-step explanation:

Let x be the possible number of yards per play for the winning team.

We have been given that the winning team had 80 offensive plays, so the number of possible yards in 80 offensive plays will be 80x.

We have been given that a winning football team more than doubled the offensive yards gained by its opponent.

We can represents this information in an inequality as:

80x>2*272

Therefore, the inequality 80x>2*272 can be used to find the possible number of x of yards per play for the winning team.

Let us solve for x.

80x>544

Let us divide both sides of our inequality by 80.

\frac{80x}{80}>\frac{544}{80}

x>6.8

Therefore, the winning team will score more than 6.8 yards per play.

4 0
3 years ago
Read 2 more answers
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