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3 years ago

13

The lengths of a trapezoid are represented by 2x + 3 , 4x - 5, 3x + 2, and 5x - 9. What is the perimeter of the trapezoid expres

sed as a binomial in terms of x?
Answers
14x -9
14x^4 - 9
120x^4 + 270
120x + 270
I need this answer ASAP please!

1 answer:

tester [92]3 years ago

3 0

Answer: 120x4+270

Step-by-step explanatio:

Umm so I’m only in 8th grade and this was on my test so the 4 is an exponent

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Brandon has a box 9.5 inches tall, 3.8 inches wide , and 4.2 inches long how many square inches of wrapping paper does he need t

Flauer [41]

The answer to your question is 151.6200 hope I helped

7 0

3 years ago

PLS HELP ASAP find the measure of side b. round to the nearest whole number

ludmilkaskok [199]

Answer:

b=204

Step-by-step explanation:

The law of sine states that: $\frac{SinA}{a} =\frac{SinB}{b} =\frac{SinC}{c}$

We know that a triangle has 180° total, so we can subtract the two angle measures we know to find the third angle: $180-90-41=49$ °.

Using these two things, we can come up with the equality $\frac{Sin90^{o} }{270} =\frac{Sin49^o}{b}$ , which we can use to solve for side b.

$\frac{Sin90^o}{270} =\frac{1}{270}$ , so we know that $\frac{1}{270} =\frac{Sin49^o}{b}$ .

Next, we would multiply both sides by b to get $\frac{1}{270}b=Sin49^o$ .

Sin49°≈0.75471, so to find b we would multiply 0.75471×270=203.77

Since the problem asks us to round to the nearest whole number, b=204

Hope this helps! :)

3 0

2 years ago

Archaeologists can determine the diets of ancient civilizations by measuring the ratio of carbon-13 to carbon-12 in bones found

Vsevolod [243]

Answer:

Step-by-step explanation:

The null and the alternative hypothesis are:

H₀=μ₀=μ₁=μ₂=μ₃=μ₄

H₁=two or more μ are different X

Let $X_{ij}$ denote the jth observation of the ith sample. The mean and the variance of the ith sample is given by

$Xbar_{i}$ = $\frac{1}{J_{i}} summation(X_{ij})$ where J=1 to $J_{i}$ and $J_{i}$ is ith sample size

$s_{i} ^{2} =\frac{1}{J_{i}-1 }summation (X_{ij} - Xbar_{i})^{2}$

The sample sizes are J₁ =12 J₂=10 J₃=18 J₄=9

the total number in all samples combined is 49

finding Xbar₁ and s₁

Xbar₁= 1÷12(17.2+....+13.4)

Xbar₁= 17.0500

s₁²= 1÷(12-1) [(17.0500-17.2)+...+(17.0500-13.4)]

s₁²=5.1336

Similarly find the means and variances of other samples

$\left[\begin{array}{ccc}i&Mean&variance\\1&17.0500&5.1336\\2&15.4500&13.2317\\3&16.4972&6.9460\\4&15.4444&7.4428\end{array}\right]$

the sample grand mean denoted by Xbar is the average of all sampled items taken together:

Xbar= $\frac{1}{49}$ (17.2+.....+16.7)

Xbar=16.2255

Compute the treatment sum of squares SSTr, the sum of squares SSE and the total sum of squares SST

SSTr = ∑ $J_{i} (Xbar_{i} -Xbar)^{2}$ from i=1 to 49

SSTr= 20.9910

$SSE= \sum\limits^I_{i=1}\sum\limits^{J_i}_{j=1}(Xbar_{ij}-Xbar_i)^{2}$

$SSE=\sum\limits^I_{i=1}(J_i-1)s_i^{2}$

SSE=(12-1)(5.1336)+...(9-1)(7.4428)

SSE=353.1796

SST=SSTr+SSE

SST=374.1706

Find the treatment mean square MSTr and the error mean square MSE:

MSTr= SSTr/(I-1)

MSTr=6.9970

MSE=SSE/(N-I)

MSE=7.8484

$F=\frac{MSTr}{MSE}$

F=0.89

The degrees of freedom are I-1=3 for the numerator and N-I=45 for the denominator. Under H₀, F has an $F_{3,45}$ distribution. To find the P value we consult the F table.

P>0.100

The complete ANOVA table is below

$\left[\begin{array}{cccccc}source&DF&SS&MS&F&P\\Agegroup&3&20.9910&6.9970&0.89&0.453\\Error&45&353.1796&7.8484\\Total&48&374.1706\end{array}\right]$

(b) The P-value is large. A follower of 5% rule would not reject H₀. Therefore, we cannot conclude the concentration ratios differ among the age groups

4 0

3 years ago

A man gave half of his welfare allowance to his wife,1/5 to each of his two sons the rest to his daughter. Find the fraction giv

vichka [17]

Answer:

1/10.

Step-by-step explanation:

Total allowance=1

Half to wife so 1-1/2=1/2(Left from total)

1/5 to each son so 2/5 to both(Total for sons).

Left for daughter 1/2-2/5=1/10(Ans)

8 0

3 years ago

Dillon plans to invest $16,000 part at 4% simple interest and the rest at 5% simple interest what is the most he can invest at 4

marishachu [46]

Answer:

Step-by-step explanation:

The simple interest formula is P * r * t = I, where P is the initial investment, r is the interest rate in decimal form, t is the time in years. This problem would be best solved by making a table, one row for account 1 and one row for account 2 with the formula along the top:

P * r * t = I

acct 1

acct 2

First let's fill in our years. The words "per year" were used, so the time in each row is a 1:

P * r * t = I

acct 1 1

acct 2 1

Now let's fill in the interest rates as decimals:

P * r * t = I

acct 1 .04 1

acct 2 .05 1

Now for the principle amount. If all we have to invest is 16000 and we put x into one account, then all we have left to put into the other account is what's left after taking x out of 16000, or 16000 - x.

P * r * t = I

acct 1 x .04 1

acct 2 16000 - x .05 1

The formula tells us that we multiply the P times the r times the t to get I, so lets do that. Multiply straight across the top to get an interest of .04x. Multiply straight across the bottom to get an interest of .05(16000 - x) which, after distributing, is 800 - .05x:

P * r * t = I

acct 1 x .04 1 = .04x

acct 2 16000-x .05 1 = 800 - .05x

We need the amount of interest that we earn from both of these accounts to equal 700, so add the last column and set it equal to 700:

.04x + 800 - .05x = 700. Combine like terms to get

-.01x = -100 so

x = 10,000

That means that the account which has an interest rate of 4% can have 10,000 in it while the other account has 6,000 in it.

5 0

3 years ago