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dimaraw [331]
3 years ago
5

What is the height of this triangle? Round your answer to the nearest tenth.

Mathematics
1 answer:
love history [14]3 years ago
5 0

Answer:

5.7

Step-by-step explanation:

pythagorean theorem

A^2 + B^2 = C^2

sub in

A^2 + 7^2 = 9^2

simplify

A^2 + 49 = 81

solve

A^2 = 32

solve further

A = \sqrt{32

use calculator and get:

5.65685

round and get:

<u>5.7</u>

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A sequence is constructed according to the following rule: its first term is 7, and each next term is one more than the sum of t
Iteru [2.4K]

Answer:

5

Step-by-step explanation:

According to the described rule, we have

a_1=7\\ \\a_1^2=7^2=49\Rightarrow a_2=4+9+1=14\\ \\a_2^2=14^2=196\Rightarrow a_3=1+9+6+1=17\\ \\a_3^2=17^2=289\Rightarrow a_4=2+8+9+1=20\\ \\a_4^2=20^2=400\Rightarrow a_5=4+0+0+1=5\\ \\a_5^2=5^2=25\Rightarrow a_6=2+5+1=8\\ \\a_6^2=8^2=64\Rightarrow a_7=6+4+1=11\\ \\a_7^2=11^2=121\Rightarrow a_8=1+2+1+1=5\\ \\\text{and so on...}

We can see the pattern

a_5=a_8=a_{11}=a_{14}=...=5\\ \\a_6=a_9=a_{12}=a_{15}=...=8\\ \\a_7=a_{10}=a_{13}=a_{16}=...=11

In other words, for all k\ge 2

a_{3k-1}=5\\ \\a_{3k}=8\\ \\a_{3k+1}=11

Now,

a_{2018}=a_{3\cdot 673-1}=5

7 0
3 years ago
Write a quadratic function for each graph described.
user100 [1]

Answer:

y=2x^2-\frac{4}{3}x-\frac{10}{3}

Step-by-step explanation:

we know that

The roots of the quadratic function (x-intercepts) are

x=-1 and x=5/3

so

we can write the equation of the parabola as

y=a(x+1)(x-\frac{5}{3})

where

a is a coefficient

Remember that

The parabola pass through the point (5,40)

substitute the value of x and the value of y of the ordered pair in the quadratic equation and solve for a

x=5, y=40

40=a(5+1)(5-\frac{5}{3})

40=a(6)(\frac{10}{3})

40=20a\\a=2

substitute

y=2(x+1)(x-\frac{5}{3})

apply distributive property

y=2(x^2-\frac{5}{3}x+x-\frac{5}{3})\\\\y=2(x^2-\frac{2}{3}x-\frac{5}{3})\\\\y=2x^2-\frac{4}{3}x-\frac{10}{3}

see the attached figure to better understand the problem

6 0
3 years ago
WILL GIVE BRAINLIEST!! Which is the equation of a line that has a slope of 4 and passes through point (1, 6)?
Whitepunk [10]
Slope=4 Point=(1,6)
Y=Mx+b
6=4(1)+b
6=4+b
-4 -4
————
2=b
Equation:4x+2
6 0
3 years ago
I need help with #2!!!
Sindrei [870]

Answer:

Step-by-step explanation:

the balance will be

523.00-95.60+(54.75)-32.45-125.00=324.70

5 0
3 years ago
Teachers are being trained to standardized the scores they give to students' essays. The same essay was scored by 10 different t
bagirrra123 [75]
What are you asking  , if you tell me i will solve
3 0
3 years ago
Read 2 more answers
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