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matrenka [14]
3 years ago
14

In order to unload clay easily, the body of a dump truck must be elevated to at least 45°. The body of a dump truck that is 12 f

eet long has been raised to 8 feet. Will the clay pour out easily? Show your work and draw a diagram to support your answer
Mathematics
1 answer:
olga nikolaevna [1]3 years ago
7 0
Assume that the angle is at the rear of the truck bed, and that the length of the truck bed is 12'.  Then:
          
                    opp side
tan theta = --------------
                    adj side

becomes:
                        8 ft
tan theta    = ---------    = 2/3 = approx.  0.667   
                       12 ft

Then tan theta = 2/3, and arctan (2/3) = 0.589 radian, or 33.7 degrees.

This is less than 45 deg, so the answer is NO, the clay will not pour out easily.

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How many solutions does the following equation have? ln(x2 + 4x − 5) = 0
lisov135 [29]
Alrighty
remember
log_a(b)=c means a^c=b
and
ln(x)=log_e(x)
and
x^0=1 for all real values of x
so

ln(x^2+4x-5)=0 means
log_e(x^2+4x-5)=0 means
e^0=x^2+4x-5 which simplifies to
1=x²+4x-5
minus 1 both sides
0=x²+4x-6
use quadratic formula or complete the square
x=-2+\sqrt{10} and x=-2-\sqrt{10}
2 solutions
7 0
3 years ago
The weights of baskets of strawberries are normally distributed with a mean of 3.8 ounces and a standard deviation of 1.1 ounces
Crazy boy [7]

Answer:

6 ounces

Step-by-step explanation:

this one is mainly elimination. 3.8 and 4.9 cant be because they're too close to the mean. and 7.1 is too far. you can also use z-score. the z score of .975 is 1.96 we can plug that into out formula so

1.96=(x-3.8)/1.1

multiply both sides by 1.1 and then add 3.8

you can also use scientific calculator.

second vars, 3, the area is your percent so .975, the u is mean so 3.8, the o is standard deviation so 1.1

7 0
3 years ago
On a car trip Sam drove m miles Kara drove twice as many miles as Sam and Darin drove 20 fewer miles than Kara in terms of m man
frutty [35]

Answer:

Darin drove '2m - 20' miles.

Step-by-step explanation:

We are given that Sam drove 'm' no. of miles.

As, it is also given that Kara drove twice as many miles as Sam. Therefore we get that Kara drove '2m' no. of miles.

Now, it is given that Darin drove 20 miles fewer than Kara .i.e. Darin drove '2m - 20' no. of miles.

Hence, in terms of m, Darin drove '2m - 20' miles.

5 0
3 years ago
kissa brought an item at Tsh 250,000/= she sold it by a certain price and got loss of 1/4 of the buying price. find the percenta
eimsori [14]

Answer:

Loss %age = 25%

Step-by-step explanation:

<u><em>Cost Price of Item</em></u> = 250,000/-

<u><em>Loss </em></u>= 1/4 = 0.25 of 250,000

=> 62,500 /-

<u><em>%age Loss</em></u> = Loss*100/Cost Price

=> 62,500 * 100 / 250,000

=> 6,250,000/250,000

=> 25 %

5 0
3 years ago
Solve for m -mk-90&gt;85
loris [4]
First add 90 to both sides) -mk>85+90simplify 85+90 to 175) -mk>175divide both sides by K) -m>175/kmultiply both sides by -1) m<-175/k
 YOUR ANSWER IS
M<-175/K 
hope l helped today l was stuck on the same question doing part 2 of alg exam , and l came through your question l hope it's not too late :)
5 0
3 years ago
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