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Ilya [14]
3 years ago
6

The angles in a triangle are 100, 40, and 40 degrees. Classify the triangle by its angles and sides.

Mathematics
1 answer:
lara [203]3 years ago
8 0

Answer:

F. Obtuse isosceles

Step-by-step explanation:

Since we have an angle that is 100 degrees, we have an obtuse angle

We have two angles that are 40, which means we have two sides that are equal length, because two angles have the same measure.  That means it is isosceles

The triangle is an obtuse isosceles

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Malia is planting tomato and pepper plants in her garden each tomato plant t requires 6 square feet and each pepper plant p requ
MAVERICK [17]

Answer:

6 t + 4  p   ≤  150   is the required inequality.

Step-by-step explanation:

Here, the area required for 1 tomato plant = 6 sq ft

So, the area required to plant t tomato plants  

= t x ( Area required by 1  tomato plant)   = t x ( 6 sq ft)  = 6 t

the area required for 1 pepper plant = 4 sq ft

So, the area required to plant p  pepper plants  

= p x ( Area required by 1  pepper plant)   = p x ( 4 sq ft)  = 4 p

Now, total area of the garden = 150 Sq ft.

Also, area of p pepper pants + t tomato plants =   (6 t +  4 p) sq ft

So, now according to the question:

Total area of both plants ≤ Total area of the garden

⇒ (6 t +  4 p) sq ft   ≤  150 sq ft

or, 6 t + 4  p   ≤  150   is the required inequality.

5 0
3 years ago
What is eight g plus ten equals thirty five plus three g
gtnhenbr [62]

8g+10=35+3g You need to find what number g is, just plug in random numbers till both sides are equal

8 0
3 years ago
Which net represents the pyramid with the greatest surface area ​
vladimir1956 [14]

Answer:

the top one that's orange

4 0
3 years ago
Write an equation for the situation then solve for x. After paying $7 for a sandwich, John has $11. With how much money did he s
yKpoI14uk [10]

Answer:

x = 18

Step-by-step explanation:

total money = money spent + money left

x = 7+11

x = 18

8 0
3 years ago
The scores on the LSAT are approximately normal with mean of 150.7 and standard deviation of 10.2. (Source: www.lsat.org.) Queen
faltersainse [42]

Answer:

a=150.7 -0.385*10.2=146.773

So the value of height that separates the bottom 35% of data from the top 65% (Or the 35 percentile) is 146.7.  

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

2) Solution to the problem

Let X the random variable that represent the  scores on the LSAT of a population, and for this case we know the distribution for X is given by:

X \sim N(150.7,10.2)  

Where \mu=150.7 and \sigma=10.2

We want to find a value a, such that we satisfy this condition:

P(X>a)=0.65   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.35 of the area on the left and 0.65 of the area on the right it's z=-0.385. On this case P(Z<-0.385)=0.35 and P(Z>-0.385)=0.65

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

Z=-0.385

And if we solve for a we got

a=150.7 -0.385*10.2=146.773

So the value of height that separates the bottom 35% of data from the top 65% (Or the 35 percentile) is 146.7.  

5 0
3 years ago
Read 2 more answers
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