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torisob [31]
3 years ago
7

Can someone help with this please??​

Mathematics
1 answer:
adoni [48]3 years ago
8 0

Answer:

doesn't x equal 6 too?

Step-by-step explanation:

since x is the same size as the other side of the triangle

You might be interested in
What is the value of 4*(-1+2-3+4-3+6-7+....+100) Show your work. [Pls help I am really drowning in work. 50 points + brainliest
KengaRu [80]

Answer:

200

Step-by-step explanation:

We have:

4(-1+2-3+4-5+6-7...+100)

We can rearrange the numbers to obtain:

4((-1-3-5-7-...-99)+(2+4+6...+100))

From the left, we can factor out a negative. So:

4(-(1+3+5+7+...+99)+(2+4+6...+100))

In other words, we want to find the sum of all the odd numbers from 1 to 99.

And the sum of all the even numbers from 2 to 100.

Let's do each one individually:

Odd Terms:

We have:

(1+3+5+7+...+99)

We can use the arithmetic series formula, where:

S=\frac{k}{2}(a+x_k)

Where k is the number of terms, a is the first term, and x_k is the last term.

Since it's all the odd numbers between 1 and 99, there are 50 terms.

Our first term is 1 and our last term is 99. So, the sum of all the odd terms are:

S=\frac{50}{2}(1+99})

Divide the fraction. Add within the parentheses:

S=25(100)

Multiply:

S=2500

So, the sum of all the odd terms is 2500.

Even Terms:

We have:

(2+4+6+...+100)

Again, we can use the above formula.

Our first term is 2, last term is 100. And since it's from 2-100, we have 50 even terms. So:

S=\frac{50}{2}(2+100)

Divide and add:

S=25(102)

Multiply:

S=2550

We originally had:

4(-(1+3+5+7+...+99)+(2+4+6...+100))

Substitute them for their respective sums:

4(-(2500)+2550)

Multiply:

4(-2500+2550)

Add:

=4(50)

Multiply:

=200

So, the sum of our sequence is 200.

And we're done!

Note: I just found a <em>way</em> easier way to do this. We have:

4\cdot(-1+2-3+4-5+6-7+...+100)

Let's group every two terms together. So:

=4((-1+2)+(-3+4)+(-5+6)...+(-99+100))

We can see that they each sum to 1:

=4((1)+(1)+(1)+...+(1))

Since there are 100 terms, we will have 50 pairs, so 50 times 1. So:

=4(50)

Multiply:

=200

Pick which one you want to use! I will suggest this one though...

Edit: Typo

8 0
3 years ago
Discuss his principles of inheritance by answering the following questions. Two plants are being crossed, each heterozygous for
disa [49]

Answer:

Q1 - What is the possibility that the offspring will have white flowers? Express your answer as a ratio.

A: White flowers only appear if the offspring is homozygous for b because this phenotype is recessive, so they have to present bb phenotype. If both parents are heterozygous (Bb), each one gives one gene at a time per individual after crossing, so 1/4 would be BB, 2/4 would be Bb and 1/4 would be bb.

Q2 - If one parent is also heterozygous for smooth peas, does this mean that all of the offspring with blue flowers will also have smooth peas? Explain your answer without using a Punnett square.

A: No, it doesn't mean that all blue flowers will present smooth peas because those genes are expressed in different loci, so they segregate independently.  There might be some blue flowers with smooth peas, but that is not mandatory for all of them.

Q3 - Suppose both parents are also heterozygous for smooth peas (S), with wrinkled peas (s) as the recessive trait. Use a Punnett square to predict the possibility that the offspring will be homozygous for both flower color and pea texture. Make sure to include a Punnett square and express your prediction as a ratio.

A: Parental genotypes are BbSs x BbSs. Given that the genes segregate independently, we will have the Punnett diagram as follows:

        BS        /    Bs    /     bS   /   bs

BS    BBSS   / BBSs  / BbSS  / BbSs

Bs    BBSs   / BBss  / BbSs   / Bbss

bS    BbSS  / BbSs  / bbSS  / bbSs

bs     BbSs / Bbss  / bbSs  / bbss

Homozygous genotypes are the ones that both genes are the same when expressed, either BB,bb,SS or ss. The probability the offspring is homozygous for both flower color and pea texture is 4/16, or 1/4.

5 0
3 years ago
The prism's base area is 8 square units and its height is 16 units. What is the volume of the pyramid?
bija089 [108]

Answer:

Step-by-step explanation:

Its about 42.67

4 0
3 years ago
4. Gabby makes banana bread at her bakery every Monday and Wednesday. Her
siniylev [52]

Answer:

Top row: 3 cups, 30 tablespoons, 12 bananas

Second row: 7 cups, 70 tbs, 28 bananas

Step-by-step explanation:

The ratio is 5 (sugar) : 50 (butter)...

You can make the unit rate: 1 cup of sugar: 10 tbs of butter

Since the other ratio is 80 tbs : 32 bananas...

1 tbs : .4 bananas

So...

3 cups : 30 tbs

30 tbs : 12 bananas

28 bananas : 70 tbs

70 tbs :  7 cups

Hope this helps!!!

5 0
3 years ago
What are two fractions between 3/5 and 4/5
Elza [17]
6/10 and 13/20, sorry i would explain this but its late, cheers.
Hope this Helps.
4 0
3 years ago
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