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3 years ago

Its super duper easy but im having some trouble so can someone help me?

Mathematics

1 answer:

Klio2033 [76]3 years ago

8 0

together = add

add the fractions

3 7/10 + 5 9/10

add the whole numbers first

3+5=8

add the fractions

7/10+9/10= 16/10

8 16/10

reduce 16/10 divide by 2

16/2= 8

10/2= 5

8 8/5

whole number changes to 9

8-5=3

denominator stays the same

9 3/5

Answer:

9 3/5

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The dimensions of a garden are 30' by 20'. If a model garden with the scale of 10' = 5'' is to be made, find the dimensions of t

olchik [2.2K]

Answer:

15" by 10"

Step-by-step explanation:

Use a proportion.

10'/5" = 30"/x

10x = 5 * 30

10x = 150

x = 15"

10'/5" = 20'/y

10y = 5 * 20

10y = 100

y = 10"

Answer: 15" by 10"

8 0

2 years ago

The formula for the perimeter of a rectangle is P = 2 (1+w) solve for w.

max2010maxim [7]

$2(1+w)=P\ \ \ \ |\text{use distributive property}\\\\2+2w=P\ \ \ \ |-2\\\\2w=P-2\ \ \ \ |:2\\\\\boxed{w=\dfrac{P-2}{2}}$

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2 years ago

Help me with question a please ! With full workings !

frosja888 [35]

A)

$\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
Q&({{ 0}}\quad ,&{{ 2}})\quad 
% (c,d)
P&({{ 0.5}}\quad ,&{{ 0}})
\end{array}\qquad 
% distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}$

$\bf QP=\sqrt{(0.5-0)^2+(0-2)^2}\implies QP=\sqrt{0.5^2+2^2}
\\\\\\
QP=\sqrt{\left( \frac{1}{2} \right)^2+4}\implies QP=\sqrt{ \frac{1^2}{2^2}+4}\implies QP=\sqrt{\frac{1}{4}+4}
\\\\\\
QP=\sqrt{\frac{17}{4}}\implies QP=\cfrac{\sqrt{17}}{\sqrt{4}}\implies QP=\cfrac{\sqrt{17}}{2}$

b)

since QR=QP, that means that QO is an angle bisector, and thus the segments it makes at the bottom of RO and OP, are also equal, thus RO=OP

thus, since the point P is 0.5 units away from the 0, point R is also 0.5 units away from 0 as well, however, is on the negative side, thus R (-0.5, 0)

c)

what's the equation of a line that passes through the points (-0.5, 0) and (0,2)?

$\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
Q&({{ 0}}\quad ,&{{ 2}})\quad 
% (c,d)
R&({{ -0.5}}\quad ,&{{ 0}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{0-2}{-0.5-0}\implies \cfrac{-2}{-0.5}$

$\bf m=\cfrac{\frac{-2}{1}}{-\frac{1}{2}}\implies \cfrac{-2}{1}\cdot \cfrac{2}{-1}\implies 4
\\\\\\
% point-slope intercept
y-{{ y_1}}={{ m}}(x-{{ x_1}})\implies y-2=4(x-0)\implies y=4x+2\\
\left. \qquad \right. \uparrow\\
\textit{point-slope form}$

7 0

3 years ago

Help, i know the answer but i don’t know how to do the work

Diano4ka-milaya [45]

Answer:

Step-by-step explanation:

Using the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$