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svet-max [94.6K]
3 years ago
15

Rashau made a rectangular frame for her latest oil painting. The length is 28 centimeters more than triple the width. The perime

ter of the frame is 136 centimeters. Find the length and the width of the frame
Mathematics
1 answer:
postnew [5]3 years ago
5 0
The length is about 28 more than three times the width. Denoted as (a) width, and as (b) the length. Then move on to lay the system of equations, as done below:

\begin{cases}2a+2b=136\\b=3a+28\end{cases}
\begin{cases}2a+2b=136|:2\\b=3a+28\end{cases}
\begin{cases}a+b=68\\b=3a+28\end{cases}
\begin{cases}a+3a+28=68\\b=3a+28\end{cases}
\begin{cases}4a=40|:4\\b=3a+28\end{cases}
\begin{cases}a=10\\b=3*10+28\end{cases}
\begin{cases}a=10\\b=58\end{cases}

The short side has a length of 10 cm, and 58 cm long.
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The perimeter of a rectangular painting is 326 cm. if the width of the painting is 74 cm, what is the length?
True [87]
Perimeter (P) = 326 cm

Width (w) = 74 cm

Length (l) = ?

We know,

P = 2* (l + w)

326 = 2 (l + 74)

l + 74 = 163

l = 89 

Hence, length is 89 cm.
7 0
3 years ago
Jasmine bought a pennant (triangle) of the favorite baseball team. If the base is 16 inches and height is 24 inches, how much ar
KATRIN_1 [288]
D. 192in^2

This would be a simple area problem with a triangle. REMEMBER THIS EQUATION: a=bh*1/2 (b for base and h for height, these are multiplied together then that answer is halved out.)

So we just need to plug in our values into the equation, so the equation would look like a= (16)*(24)*1/2. 16 times 24 would then give you 384, you could either divide by 2 or multiply by 0.5 to get the next answer, as long as your HALVING the answer.

So we have our bh value so now we can multiply by 1/2 which will give us 384*1/2 which leaves us with 192.

I have also attached a photo of doing a longer(ish) way than this, that also proves that this equation works. Either one will provide you an answer.

6 0
3 years ago
two girls have 76$ between them. if they first gave the second $7 they would each have the same amount of money. how much did ea
Rainbow [258]
Each girl had a total of $10.85
4 0
3 years ago
A construction worker needs to determine the volume of a sandpille in a construction yard as shown
postnew [5]
Answer:
6580cm
Step-by-step explanation:
The answer is 6580cm because....
Step one First let's figure out what the smaller shape's volume is. To do so we need to multiply ( LxWxH ) so 6x5x? it does not list what the height is so we know it has the same height as the larger shape and it's height is 14cm so we will use 14cm. 6x5x14=420cm
Step two Now lets find the Volume of the larger shape. So lets do LxWxH so Lx?x14 it does not give us the length so we need to add up all of the numbers along the line. We got 7cm then 5 from the bottom of the smaller shape and 10cm. all ads up to 22cm so 20x22x14=6160
Finally we add up the following shapes Volume which are 6160+420=6580cm
3 0
3 years ago
A math teacher claims that she has developed a review course that increases the scores of students on the math portion of a coll
xxMikexx [17]

Answer: D

H0: μ=522

H1: μ>522

Step-by-step explanation:

The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean. While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.

So, for this case;

The null hypothesis is that the mean score equals to 522

H0: μ=522

The alternative hypothesis is that the mean score is greater than 522.

H1: μ>522

8 0
3 years ago
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