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Aleks04 [339]
4 years ago
9

kaye has $2.80 in nickels and dimes. she has three timesas many dimes as nickels. how many nickels and how many dimes does she h

ave.
Mathematics
1 answer:
Vitek1552 [10]4 years ago
4 0
8 nickels, because 8 (nickels) × 5 (worth) = 40
24 dimes, because 8 × 3 = 24 24 × 10 = 240
240 + 40 = 280
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a drawing of a surboard in a catalog shows it's length as 8 4/9 inches. find the actual length of surfboard if 1/2 inch length o
Delvig [45]
\frac12 in -\frac38 ft \\
8\frac48 in - x\ ft\\
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8 0
3 years ago
Help with this..but not Pauline helms she is unhelpful tutor.
romanna [79]

Since the tangent of B is 4/3, then:

\begin{gathered} \frac{AC}{BA}=\frac{4}{3} \\ \Rightarrow AC=\frac{4}{3}BA \end{gathered}

On the other hand, since ABC is a right triangle with hypotenuse BC, then:

(BA)^2+(AC)^2=(BC)^2

Substitute AC=3/4 BA and BC=15 to find BA:

\begin{gathered} (BA)^2+(\frac{4}{3}BA)^2=15^2 \\ \Rightarrow BA^2+\frac{16}{9}BA^2=15^2 \\ \Rightarrow(1+\frac{16}{9})BA^2=15^2 \\ \Rightarrow\frac{25}{9}BA^2=15^2 \\ \Rightarrow BA^2=\frac{9}{25}\cdot15^2 \\ \Rightarrow BA=\sqrt[]{(\frac{9}{25}\cdot15^2)} \\ \Rightarrow BA=\frac{3}{5}\cdot15 \\ \Rightarrow BA=9 \end{gathered}

Substitute BA=12 into the expression for AC to find its value:

AC=\frac{4}{3}BA=\frac{4}{3}(9)=12

On the other hand, we know that:

BD+DA=BA

Substitute BA=12 and DA=3 to find BD:

\begin{gathered} BD+3=9 \\ \Rightarrow BD=9-3 \\ \Rightarrow BD=6 \end{gathered}

Finally, since BDE and BAC are similar triangles, we know that:

\begin{gathered} \frac{DE}{BD}=\frac{AC}{BA} \\ \Rightarrow DE=\frac{AC}{BA}\times BD \end{gathered}

Substitute AC=12, BA=9 and BD=6 to find the length DE:

\begin{gathered} DE=\frac{12}{9}\times6 \\ \Rightarrow DE=8 \end{gathered}

Therefore, the length of DE is:

8

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1 year ago
PLZ ANSWER AS SOON AS YOU CAN ITS ONLY 3 QUESTIONS
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1 is really b, I just learned this
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7 0
4 years ago
Find point-slope.
MariettaO [177]
This iis easie guise, why don't you do it? so
point slope=y-y1=m(x-x1)

so just subsitute
first find m
m=(y2-y1)/(x2-x1)=(1/3-(-1/2))/(-2/3-3/2)=(1/3+1/2)/(-2/3-3/2)=(5/6)/(-13/6)=-5/13
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subsitute
y-y1=-5/13(x-x1)
subsitute
y-(-1/2)=-5/13(x-3/2)
y+1/2=-5/13x+15/26
subtract 1/2 from both sides
y=-5/13x+15/26-13/26 (1/2=13/26)
y=-5/13x+2/26
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4 years ago
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Plz help explain i think you have info missing


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