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3 years ago

In the diagram shown of circle A, segments UV and UT are congruent. If

Mathematics

1 answer:

poizon [28]3 years ago

4 0

Answer:

<h2>The measure of angle VSU is 35°.</h2>

Step-by-step explanation:

We know that the arc VST is 220°.

This means arc VUT is 140°, because it's the difference between the total arc 360° and 220°.

Also, we know that segments UV and UT are congruent, that means their arcs are also congruent. So, the measure of arc VUT can be equally divided, that means arc VU is 70°.

Now, the inscribed angle theorem states that the angle formed by two intersecting chords is half of its subtended arc.

$\angle VSU = \frac{1}{2} arc(VU)=\frac{1}{2}(70\°) \\ \angle VSU = 35\°$

Therefore, the measure of angle VSU is 35°.

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natulia [17]

Answer:

the answer is D {-5, -13}

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3 years ago

(the dimensions are shown in the picture)

Oksanka [162]

Answer:

Total surface area of the prism =145.32 Square centimeters

Step-by-step explanation:

The given figure is a rectangular prism with the given dimensions of :

length(L)= 10.3 cm

Width(W)=2.2 cm

Height(H)=4 cm

Total surface area of the rectangular prism is:

$= 2(L*W+W*H+H*L)\\\\=2((10.3*2.2)+(2.2*4)+(4*10.3))\\\\=2(22.66+8.8+41.2)\\\\=2(72.66)\\\\=145.32cm^2\\\\$

Total surface area of the prism is 145.32 Square centimeters

6 0

2 years ago

Read 2 more answers

A principal of $5000 is invested in an account paying an annual rate of 7%. Find the amount in the account after 5 years if th

Alekssandra [29.7K]

Answer:

$7,012.76

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 7/100

r = 0.07 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 5,000.00(1 + 0.07/1)(1)(5)

A = 5,000.00(1 + 0.07)(5)

A = $7,012.76

Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $5,000.00 at a rate of 7% per year compounded 1 times per year over 5 years is $7,012.76.

8 0

2 years ago

In a study of cereal leaf beetle damage to oats, researchers measured the number of beetle larvae per stem in small plots of oat

PSYCHO15rus [73]

Answer:

At 0.05 level of significance, there is no difference in the mean number of larvae per stem. This supports the scientist's claim.

(d) H0: MeanMalathion - MeanNoMalathion equals 0

H1: MeanMalathion - MeanNoMalathion not equals 0

Step-by-step explanation:

Test statistic (t) = (mean 1 - mean 2) ÷ sqrt[pooled variance (1/n1 + 1/n2)]

Let the difference between the two means be x and the pooled variance be y

n1 = 5, n2 = 12

t = x ÷ sqrt[y(1/5 + 1/12)] = x ÷ sqrt(0.283y) = x ÷ 0.532√y = 1.88x/√y

Assuming the ratio of x to √y is 0.5

t = 1.88×0.5 = 0.94

n1 + n2 = 5 + 12 = 17

degree of freedom = n1 + n2 - 2 = 17 - 2 = 15

significance level = 0.05 = 5%

critical value corresponding to 15 degrees of freedom and 5% confidence interval is 2.131

The test is a two-tailed test because the alternate hypothesis is expressed using not equal to.

The region of no rejection of the null hypothesis lies between -2.131 and 2.131

Conclusion

Fail to reject the null hypothesis because the test statistic 0.94 falls within the region bounded by the critical values.

The scientist's claim is right.

A null hypothesis is a statement from a population parameter which is either rejected or accepted (fail to reject) upon testing. It is expressed using the equality sign.

An alternate hypothesis is also a statement from a population parameter which negates the null hypothesis and is accepted if the null hypothesis is rejected. It is expressed using any of the inequality signs.

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3 years ago

Slope: y=3/4x - 7<br><br> Can you show me step by step how to find slope??<br> Thank you!

Dafna1 [17]

The slope is just the number attached to the x. The slope is 3/4.

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2 years ago